Question 1 1 / -0
खेतों में चारों ओर हरियाली नज़र आ रही है' इस वाक्य में हरियाली शब्द का संज्ञा भेद क्या है?
Solution
इस वाक्य में 'हरयाली' शब्द भाववाचक संज्ञा है।
Question 2 1 / -0
'काम तमाम करना' मुहावरे का अर्थ है-
Solution
'काम तमाम करना' का अर्थ 'मार डालना' है।
Question 3 1 / -0
'अढ़ाई चावल की खिचड़ी पकाना' मुहावरे का अर्थ है-
Solution
'अढ़ाई चावल की खिचड़ी पकाना' मुहावरे का अर्थ 'अलग रहना' है।
Question 4 1 / -0
जो क्षमा योग्य हो उसे क्या कहते है?
Solution
जो क्षमा योग्य हो उसे क्षम्य कहते हैं।
Question 5 1 / -0
Directions For Questions
गिलहरी एक स्तनधारी प्राणी है। गिलहरी वृक्षों पर रहती है और यह भोजन की तलाश में पेड़ों से से नीचे आती है और फिर वापिस पेड़ पर लौट जाती है। यह वृक्षों पर काफ़ी उंचाई पर अपने घोंसले बनाकर रहती है। गिलहरी दौड़ती बड़ी तेज़ हैं यह ख़तरा महसूस होते ही तेज़ी से पेड़ पर चढ़ जाती है और एक मीटर की छलांग भी लगा सकती है इसके आकार, शरीर के रंग और पूंछ की बनावट आदि में काफी अंतर होता है। ज्यादातर गिलहरी लाल, नारंगी और स्लेटी रंग में होती है। इसकी पूंछ घने और मुलायम रोयों से ढकी होती है। इसके कान लम्बे और नुकीले आकार के होते हैं। गिलहरी मुख्य रूप से शाकाहारी होती है यह फ़ल , बेरियां , अनाज और दाने आदि खाती है। इसके इलावा यह छोटे मकौडों को अपना शिकार बनाती है। यह अपने पिछले पैरों के सहारे बैठकर अगले पैरों को हाथों की तरह इस्तेमाल करती है। भारत में गिलहरी की 20 प्रजातियां पाई जाती हैं। इनमें से कुछ प्रजातियां तो ऐसी हैं जो पूरे देश में देखने को मिलती हैं। गिलहरी केवल 6 से 10 वर्ष तक ही जीवित रहती है किन्तु कुछ प्रजातियां इससे भी ज्यादा समय तक जीवित रह सकती हैं।
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गिलहरी क्या खाती है?
Solution
गिलहरी फ़ल, बेरियां, अनाज यह सब खाती है।
Question 6 1 / -0
Directions For Questions
गिलहरी एक स्तनधारी प्राणी है। गिलहरी वृक्षों पर रहती है और यह भोजन की तलाश में पेड़ों से से नीचे आती है और फिर वापिस पेड़ पर लौट जाती है। यह वृक्षों पर काफ़ी उंचाई पर अपने घोंसले बनाकर रहती है। गिलहरी दौड़ती बड़ी तेज़ हैं यह ख़तरा महसूस होते ही तेज़ी से पेड़ पर चढ़ जाती है और एक मीटर की छलांग भी लगा सकती है इसके आकार, शरीर के रंग और पूंछ की बनावट आदि में काफी अंतर होता है। ज्यादातर गिलहरी लाल, नारंगी और स्लेटी रंग में होती है। इसकी पूंछ घने और मुलायम रोयों से ढकी होती है। इसके कान लम्बे और नुकीले आकार के होते हैं। गिलहरी मुख्य रूप से शाकाहारी होती है यह फ़ल , बेरियां , अनाज और दाने आदि खाती है। इसके इलावा यह छोटे मकौडों को अपना शिकार बनाती है। यह अपने पिछले पैरों के सहारे बैठकर अगले पैरों को हाथों की तरह इस्तेमाल करती है। भारत में गिलहरी की 20 प्रजातियां पाई जाती हैं। इनमें से कुछ प्रजातियां तो ऐसी हैं जो पूरे देश में देखने को मिलती हैं। गिलहरी केवल 6 से 10 वर्ष तक ही जीवित रहती है किन्तु कुछ प्रजातियां इससे भी ज्यादा समय तक जीवित रह सकती हैं।
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गिलहरी कितने वर्ष तक जीवित रहती है?
Solution
गिलहरी 6 से 10 वर्ष तक जीवित रहती है।
Question 7 1 / -0
Directions For Questions
गिलहरी एक स्तनधारी प्राणी है। गिलहरी वृक्षों पर रहती है और यह भोजन की तलाश में पेड़ों से से नीचे आती है और फिर वापिस पेड़ पर लौट जाती है। यह वृक्षों पर काफ़ी उंचाई पर अपने घोंसले बनाकर रहती है। गिलहरी दौड़ती बड़ी तेज़ हैं यह ख़तरा महसूस होते ही तेज़ी से पेड़ पर चढ़ जाती है और एक मीटर की छलांग भी लगा सकती है इसके आकार, शरीर के रंग और पूंछ की बनावट आदि में काफी अंतर होता है। ज्यादातर गिलहरी लाल, नारंगी और स्लेटी रंग में होती है। इसकी पूंछ घने और मुलायम रोयों से ढकी होती है। इसके कान लम्बे और नुकीले आकार के होते हैं। गिलहरी मुख्य रूप से शाकाहारी होती है यह फ़ल , बेरियां , अनाज और दाने आदि खाती है। इसके इलावा यह छोटे मकौडों को अपना शिकार बनाती है। यह अपने पिछले पैरों के सहारे बैठकर अगले पैरों को हाथों की तरह इस्तेमाल करती है। भारत में गिलहरी की 20 प्रजातियां पाई जाती हैं। इनमें से कुछ प्रजातियां तो ऐसी हैं जो पूरे देश में देखने को मिलती हैं। गिलहरी केवल 6 से 10 वर्ष तक ही जीवित रहती है किन्तु कुछ प्रजातियां इससे भी ज्यादा समय तक जीवित रह सकती हैं।
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गिलहरी मुख्य रूप से कौन सा जीव है?
Solution
गिलहरी मुख्य रूप से शाकाहारी जीव है।
Question 8 1 / -0
Directions For Questions
गिलहरी एक स्तनधारी प्राणी है। गिलहरी वृक्षों पर रहती है और यह भोजन की तलाश में पेड़ों से से नीचे आती है और फिर वापिस पेड़ पर लौट जाती है। यह वृक्षों पर काफ़ी उंचाई पर अपने घोंसले बनाकर रहती है। गिलहरी दौड़ती बड़ी तेज़ हैं यह ख़तरा महसूस होते ही तेज़ी से पेड़ पर चढ़ जाती है और एक मीटर की छलांग भी लगा सकती है इसके आकार, शरीर के रंग और पूंछ की बनावट आदि में काफी अंतर होता है। ज्यादातर गिलहरी लाल, नारंगी और स्लेटी रंग में होती है। इसकी पूंछ घने और मुलायम रोयों से ढकी होती है। इसके कान लम्बे और नुकीले आकार के होते हैं। गिलहरी मुख्य रूप से शाकाहारी होती है यह फ़ल , बेरियां , अनाज और दाने आदि खाती है। इसके इलावा यह छोटे मकौडों को अपना शिकार बनाती है। यह अपने पिछले पैरों के सहारे बैठकर अगले पैरों को हाथों की तरह इस्तेमाल करती है। भारत में गिलहरी की 20 प्रजातियां पाई जाती हैं। इनमें से कुछ प्रजातियां तो ऐसी हैं जो पूरे देश में देखने को मिलती हैं। गिलहरी केवल 6 से 10 वर्ष तक ही जीवित रहती है किन्तु कुछ प्रजातियां इससे भी ज्यादा समय तक जीवित रह सकती हैं।
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ज़्यादातर गिलहरी किन रंगों में पाई जाती है?
Solution
ज्यादातर गिलहरी लाल, नारंगी और स्लेटी इन सभी रंगों में पाई जाती है।
Question 9 1 / -0
Directions For Questions
गिलहरी एक स्तनधारी प्राणी है। गिलहरी वृक्षों पर रहती है और यह भोजन की तलाश में पेड़ों से से नीचे आती है और फिर वापिस पेड़ पर लौट जाती है। यह वृक्षों पर काफ़ी उंचाई पर अपने घोंसले बनाकर रहती है। गिलहरी दौड़ती बड़ी तेज़ हैं यह ख़तरा महसूस होते ही तेज़ी से पेड़ पर चढ़ जाती है और एक मीटर की छलांग भी लगा सकती है इसके आकार, शरीर के रंग और पूंछ की बनावट आदि में काफी अंतर होता है। ज्यादातर गिलहरी लाल, नारंगी और स्लेटी रंग में होती है। इसकी पूंछ घने और मुलायम रोयों से ढकी होती है। इसके कान लम्बे और नुकीले आकार के होते हैं। गिलहरी मुख्य रूप से शाकाहारी होती है यह फ़ल , बेरियां , अनाज और दाने आदि खाती है। इसके इलावा यह छोटे मकौडों को अपना शिकार बनाती है। यह अपने पिछले पैरों के सहारे बैठकर अगले पैरों को हाथों की तरह इस्तेमाल करती है। भारत में गिलहरी की 20 प्रजातियां पाई जाती हैं। इनमें से कुछ प्रजातियां तो ऐसी हैं जो पूरे देश में देखने को मिलती हैं। गिलहरी केवल 6 से 10 वर्ष तक ही जीवित रहती है किन्तु कुछ प्रजातियां इससे भी ज्यादा समय तक जीवित रह सकती हैं।
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भारत में गिलहरी की कितनी प्रजातियां पाई जाती हैं?
Solution
भारत में गिलहरी की 20 प्रजातियां पाई जाती हैं।
Question 10 1 / -0
'उपस्थित' का विलोम शब्द क्या है?
Solution
'उपस्थित' का विलोम शब्द 'अनुपस्थित' है।
Question 11 1 / -0
'आँख' का पर्यायवाची है-
Solution
'आँख' का पर्यायवाची 'नेत्र' है।
Question 12 1 / -0
निम्नलिखित रेखांकित मुहावरे का सबसे उपयुक्त अर्थ क्या है? समझाने के बाद भी जब चोर फिर पकड़ा गया तो पुलिस अफसर आग बबूला हो गया ।
Solution
रेखांकित मुहावरे का अर्थ 'बहुत गुस्सा करना' है।
Question 13 1 / -0
निम्नलिखित वाक्य में रेखांकित शब्द के विलोम शब्द के सही विकल्प को चुनकर लिखिए- पाठशाला के बालकों में होड़ है कि कौन अधिक अंक प्राप्त करता है।
Solution
रेखांकित शब्द के विलोम शब्द का सही उत्तर मुक़ाबला है।
Question 14 1 / -0
शिक्षक का बहुवचन होगा-
Solution
शिक्षक का बहुवचन शिक्षकगण होगा।
Question 15 1 / -0
निम्नलिखित वाक्य में रेखांकित शब्द के स्त्रीलिंग शब्द के सही विकल्प की चुनकर वाक्य पूरा करिए- सामारोह में सर्वश्रेष्ठ कवि और_________को पुरस्कार प्रदान किए गए।
Solution
फिल्मोत्सव में सर्वश्रेष्ठ कवि और कवयित्री को पुरस्कार प्रदान किए गए।
Question 16 1 / -0
Directions: Choose the most appropriate answer from the options given. I'll think _____ your idea carefully before I take a final decision.
Solution
"Think over (something)" is the correct phrase. It means to consider an idea or a plan carefully, before making a decision.
Question 17 1 / -0
Directions: Fill in the blank with the appropriate form of the verb. A widespread outbreak of influenza _______ in the year 1919.
Solution
Whenever there is a reference to a definite time in the past (in the year 1919), we use simple past tense. So, past tense form 'occurred' is the correct answer.
Question 18 1 / -0
Directions: Fill in the blank with the appropriate form of the verb. He _________ some of the samples presented to him.
Solution
Here, the subject is 'he'. Options 1 and 2 change the context and make it incorrectly passive. 4 is grammatically incorrect as 'have' can't be used with 'he.'
Question 19 1 / -0
Directions: Fill in the blank with the correct option. Will you give me ______ cup of tea?
Solution
Here, 'cup of tea' neither refers to a specific object nor does 'cup' begin with a vowel sound word. Thus, option 1.
Question 20 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
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The original residents migrated to the islands from
Solution
As mentioned in the sentence: "It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar."
Question 21 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
...view full instructions
The Jarawas, Sentineles, Onges and Shompenites are mainly found in
Solution
It is written in the sentence: "The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman …"
Question 22 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
...view full instructions
The aboriginals are looked after by
Solution
It is mentioned in the passage that, "The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities."
Question 23 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
...view full instructions
The aboriginals are still ignorant of the use of
Solution
It is mentioned in the sentence, "These aboriginals still do not know how to use a matchbox ... the use of cloth."
Question 24 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
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Original residents of Andaman and Nicobar Islands are
Solution
It is clearly mentioned in the first line of the passage. "Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese."
Question 25 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
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The aboriginals prepare fire by
Solution
It is written in the sentence: "These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood …"
Question 26 1 / -0
Directions For Questions
Directions: Read the passage carefully and answer the given question. Andaman and Nicobar Islands consist of mainly two groups of islands, with distinctive features of the original residents — Negroid and Mongolese. It is strange to see how these two different groups migrated to these islands so far from the mainland — from India and Myanmar. The aboriginals found in these islands are the Jarawas, Sentineles, Onges, Shompenites, mainly found in Andaman and the Nicobarese in Nicobar. Of these, the Nicobarese in general, and some of the Onges, have accepted the so-called modern civilisation and learned the use of modern tools and facilities. They can be seen frequently in the Port-Blair market. The aboriginals are looked after by the Anthropological Department of the Government, who make regular visits to their islands and supply them with food and other necessities. These aboriginals still do not know how to use a matchbox and prepare fire by rubbing two pieces of wood; they also do not know the use of cloth. If the people from the Anthropological Department offer them clothes, they use them only as turbans and not to wrap their bodies.
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Which of the following is nearest in meaning to 'to cover'?
Solution
It can be taken from this line "… and not to wrap their bodies."
Question 27 1 / -0
Directions: Choose the correct option which changes the underlined phrase into a clause. I felt sick after seeing the horror movie.
Solution
A clause has a subject and a verb. So, a subject is required to convert the phrase into a clause. So, the subject 'I' will be added. Moreover, the use of 'felt' indicates past tense. So, the verb will be in past tense. Hence, use of 'saw' is correct. Hence, option 4 is the correct answer. Other options make the sentence ungrammatical.
Question 28 1 / -0
Directions: Find the option which correctly changes the voice of the sentence given below. The neighbours took the injured people to the hospital. The injured people ______ to the hospital by the neighbours.
Solution
The sentence is in simple past. So, in passive voice the structure will be 'was + past participle form of verb'. Since, 'people' is plural the plural verb 'were' will be used. The past participle form of 'took' is 'taken'. So, option 1 is the correct answer.
Question 29 1 / -0
Directions: In the following question, a sentence has been given in direct speech. Out of the four alternatives, select the one which best expresses the same sentence in indirect speech.Sentence: I said to them, ''Do not walk barefoot on the grass.''
Solution
The context sentence is an imperative sentence. In such sentences, we use 'advised' in place of the reporting verb when an advice is being given and 'not to' in place of 'do not'. Inverted commas are deleted. No change in tense takes place. Option (3) has all the modifications in the sentence as per the rules of direct/indirect speech. Thus, it is the correct answer. Option 2 is incorrect as there is an error of split infinitive (to not walk).
Question 30 1 / -0
Directions: The sentence below has a word in capital letters. Select the synonym of the word as per the context. You need not ABANDON hope till the result is declared.
Solution
(1) 'Abdicate' is not appropriate because it means 'to give up a position of power'. (2) 'Desert' is not appropriate because it is used for leaving someone without help or in a difficult position. (3) 'Give up' is appropriate because 'abandon' means 'give up completely (a practice or a course of action).' (4) 'Surrender' is not appropriate because it means 'to stop fighting or to accept defeat'.
Question 31 1 / -0
In the sum 3a + 4a + 5a + 6a + 7a, which term can be removed so that the resulting sum is divisible by 4 for every positive integer a?
Solution
The given sum is 25a. The numbers less than 25a which will always be divisible by 4 are 4a, 8a, 12a, 16a, 20a and 24a. Of these, 20a can be obtained by subtracting 5a from the given sum.
Question 32 1 / -0
By which smallest number must 90 be multiplied to make it a perfect square?
Solution
Factors of 90 are = 3
3
5
2
Since '10' is not in pair, we multiply 90 by 10 (2 × 5) to make it a perfect square.
Question 33 1 / -0
What is the smallest number by which 3087 must be divided so that the quotient obtained is a perfect cube?
Solution
3087 = 7 × 7 × 7 × 9 To obtain a perfect cube, we need to divide 3087 by 9. So, the correct answer is 9.
Question 34 1 / -0
Find a and b, if
.
Solution
=
(Comparing this with a - b
: a = 11, b = 6)
Question 35 1 / -0
Find the value of x in
.
Solution
3 +
= 4
= 1
x = (1)
2 x = 1
Option (1) is correct.
Question 36 1 / -0
If
, then find the value of x.
Solution
So, x = 3.5
Question 37 1 / -0
A shopkeeper allows a discount of 20% on an article to his customers and still gains 20%. Find the marked price of that article which costs Rs. 1200.
Solution
Let the price increase by factor 'n'.
(n
CP)
n =
∴ Marked price = Rs.
= Rs. 1800
Question 38 1 / -0
If
then
is equal to
Question 39 1 / -0
A positive number is 5 times the other number. If 21 is added to both the numbers, then greater of the two numbers becomes twice the smaller number. What are the numbers?
Solution
Let one number be x.
Other number = 5x
Adding 21 to both numbers, they become x + 21 and 5x + 21, respectively.
According to the question, we have
5x + 21 = 2(x + 21) (As 5x + 21 is greater)
5x + 21 = 2x + 42
5x - 2x = 42 - 21
3x = 21
x =
= 7
Numbers are 7 and 35.
Question 40 1 / -0
AC and BD are parallel to each other. If
= 105°,
= 75°
and
= 2
, then find the measure of
y.
Solution
In the given quadrilateral:
A = 2
ABD
Now,
A + 105° + 75° +
ABD = 360°
2
ABD + 180° +
ABD = 360°
2
ABD +
ABD = 360° - 180°
3
ABD = 180°
ABD =
= 60°
Now,
ABD + y = 180° (Supplementary angles)
60° + y = 180°
y = 180° - 60° = 120°
Question 41 1 / -0
In the given figure, ΔABC is inscribed in a circle with centre O. If
ACB = 65°, find
ABC.
Solution
ACB = 65°
BAC = 90° (Angle in a semicircle is a right angle)
In
ABC, by angle sum property,
ABC +
BCA +
CAB = 180°
ABC + 65° + 90° = 180°
ABC = 180° - 155° = 25°
Question 42 1 / -0
The lengths of two sides of a triangle are 7 units and 9 units. Which of the following can be the measure of the third side?
Solution
Length of the third side lies between (9 - 7) units and (9 + 7) units, or 2 units and 16 units. Or, 2 units < Length of third side < 16 units Hence, the length of the third side can be 13 units.
Question 43 1 / -0
Which of the following options shows the factorised form of (5a2 - 21a + 18)?
Solution
(5a2 - 21a + 18) = 5a2 - 15a - 6a + 18 = 5a(a - 3) - 6(a - 3) = (5a - 6)(a - 3)
Question 44 1 / -0
In the given figure, AB ||
CD. If ∠AEO = 130° and ∠FGD = 105°, then what will be the measure of ∠EOF?
Solution
In the given figure,
∠FGD = ∠EFG = 105° (Alternate interior angles)
∠AEO + ∠FEO = 180° (Linear pair)
130° + ∠FEO = 180°
∠FEO = 180° - 130° = 50°
In
FOE,
∠FEO + ∠EFO + ∠EOF = 180° (Angle sum property of triangles)
50° + ∠EOF + 105° = 180° (∵ ∠EFO = ∠EFG)
∠EOF = 180° - 155° = 25°
Question 45 1 / -0
In a trapezium, the shortest distance between the two parallel sides is 30 m and its area is 900 sq. m. If the ratio between the lengths of the parallel sides of the trapezium is 3 : 2, then find the sum of the lengths of the parallel sides.
Solution
Given: Area of the trapezium = 900 m
2 Height = 30 m
We know,
Area of trapezium =
(sum of parallel sides)
height
Let the sum of parallel sides be 'x'.
900 =
x = 60 m
Question 46 1 / -0
What is the value of the following expression?
[
×
×
×
] × (6)
1/6
Solution
21/3 × 21/2 × 31/3 × 31/2 x (6)1/6 = 25/6 × 35/6 × (6)1/6 = (6)6/6 = 6
Question 47 1 / -0
The lateral surface area of cylinder is 176 cm2 and base area is 154 cm2 . What is its volume?
Solution
LSA of the cylinder = 176 cm
2 2
rh = 176
Base area = 154 =
r
2 r
2 = 154
r
2 = 49
r = 7 cm
Now, we know
2πrh = 176 cm
2 h =
Volume =
r
2 h =
7
7
4 = 616 cm
3
Question 48 1 / -0
What is the length of PN, if AB = 30, PM = 8, DC = 16 and P is the centre of the circle?
Solution
PM
AB
Any perpendicular from the centre to the chord bisects the chord.
In ΔAMP
AP
2 = MP
2 + AM
2 AP
2 = 8
2 + 15
2 = 64 + 225 = 289
AP =
= 17
In ΔCNP
CP
2 = NP
2 + CN
2 17
2 = NP
2 + 8
2 17
2 - 8
2 = NP
2 NP = 15
Question 49 1 / -0
A wall 8 m long, 6 m high and 22.5 cm thick is made up of bricks each measuring 25 cm
11.25 cm
6 cm. The number of bricks required is
Solution
Number of bricks required =
=
= 6400
Question 50 1 / -0
What is the solution of equation
?
Solution
5x - 1 -
15x - 3 - 4x + 2 =
15x - 4x - 3 + 2 = 18x + 1
11x - 1 = 18x + 1
11x - 18x = 1 + 1
-7x = 2
x =
Question 51 1 / -0
If ABCD is a square and BCE is an equilateral triangle, then what is the measure of
DEC?
Solution
BCE is an equilateral triangle.
CE = BC = BE
ABCD is a square.
BC = CD
Hence, CD = CE
So, in
CDE, we have
CD = CE
Hence,
EDC =
CED
Now,
BCE = 60° [Since equilateral triangle and
BCD = 90° (since square)]
Hence,
DCE =
DCB +
BCE = (60° + 90°) = 150°
So, in
DCE,
EDC +
CED = 30° (Since three angles of a triangle add up to 180°)
Hence, we have
DEC =
EDC = 15° (Since DC = CE and therefore, angles opposite to equal sides are equal)
Question 52 1 / -0
In the given figure with centre O,
AOB = 30° and ∠BOC = 54°. Find
ABC.
Solution
AOC =
AOB +
COB = 84°
Reflex
AOC = 360° - 84° = 276°
The angle subtended by arc at centre is double the angle subtended by it on the remaining part of the circle.
ABC =
× (Reflex
AOC)
ABC = 138°
Question 53 1 / -0
If a + b = 7 and ab = 12, find the value of a2 + b2 .
Solution
(a + b) = 7 Squaring both sides, we get: a2 + b2 + 2ab = 49 Putting in the value of 'ab' as 12, we get a2 + b2 + 2(12) = 49 a2 + b2 = 49 - 24 = 25
Question 54 1 / -0
If a + b + c = 9 and ab + bc + ca = 26, then find the value of a2 + b2 + c2 .
Solution
(a + b + c)2 = a2 + b2 + c2 + 2 (ab + bc + ca) 81 – 52 = a2 + b2 + c2 a2 + b2 + c2 = 29
Question 55 1 / -0
If the diagonals of a rhombus are 30 cm and 40 cm, then length of the side of the rhombus is
Solution
Let the two diagonals of the rhombus are d
1 and d
2 .
Side =
(As diagonals of rhombus are perpendicular bisectors)=
= 25 cm
Question 56 1 / -0
In the figure given below (not drawn to scale), ACDF is a rectangle and BDE is a triangle. Find
EBD.
Solution
ECDB +
EBDE = 90° (Angle of a rectangle)
43° +
EBDE = 90°
EBDE = 90° - 43° = 47°
In triangle BED:
EEBD +
EBDE +
EBED = 180° ...(Angle sum property)
62° + 47° +
EEBD = 180°
EEBD = 180° - (62° + 47°) = 71°
Question 57 1 / -0
The perimeter of a rectangle and a square is 320 cm each. The difference between their areas is 800 cm2 . If the area of rectangle is less than that of square, then find the area of rectangle.
Solution
Perimeter of rectangle = Perimeter of square = 320 cm Let 'a' be the side of the square. 4a = 320 cm a = 80 cm Area of square = 6,400 cm2 Let the length and breadth of the rectangle be 'l' cm and 'b' cm respectively. So, 6400 - Ib = 800 Ib = 5,600 cm2
Question 58 1 / -0
The diameter of a right circular cone is 14 m and its slant height is 12 m. Find the cost of colouring its total surface at the rate of 14 paisa per sq. metre.
Solution
Let 'r' be the radius and 'l' be the slant height of the given cone.
Total surface area of a cone =
rl +
r
2 =
= (264 + 154) m
2 = 418 m
2 Cost of 1 metre square = 14 paise
Cost of 418 metre square = Rs.
= Rs. 58.52
Question 59 1 / -0
In the figure, if
|| m, p || q,
DAC = 30° and
ABC = 70°, then what is the measure of
ACD?
Solution
According to the data given in the question,
|| m and AC is a transversal.
∴
DAC =
ACB [Alternate interior angles]
ACB = 30°
Also, q is a transversal.
∴
ABC +
BCD = 180° [Co-interior angles]
70° +
BCD = 180°
BCD = 110°
Now,
ACB +
ACD =
BCD
30° +
ACD = 110°
ACD = 110° - 30° = 80°
Hence, 80° is the correct answer.
Question 60 1 / -0
In the given figure, A is the centre of the circle whose area is 36π cm
2 and
ACB = 45°.
The length of BC will be
Solution
AB = AC
ABC = 45°
∴
BAC = 90°
BC =
Now, area of circle = πr
2 36π cm
2 = πr
2 r = ±6 cm
r = 6 cm
∴ AB = AC = 6 cm
∴ BC =
cm =
cm =
cm
Question 61 1 / -0
Directions For Questions
Directions: The given pie chart shows the percentage of total expenses that the government of a country spends on various sports.
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If total expenses on all the sports are Rs. 1 million, then find the amount spent on Golf.
Solution
Amount spent on Golf =
= Rs. 1,50,000
Question 62 1 / -0
Directions For Questions
Directions: The given pie chart shows the percentage of total expenses that the government of a country spends on various sports.
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If total expenses on all the sports are Rs. 1 million, then which game attracts the greatest expenses?
Solution
On the pie chart, the percentage of basketball is 23%, which is the maximum. So, the maximum amount was spent on basketball.
Question 63 1 / -0
The distance travelled by a car is directly proportional to the time. The car travelled a distance of 180 km in 2 hours. How long will it take to travel a distance of 900 km?
Solution
Distance
Time
d = kt
180 = k x 2
k =
= 90
Now, 900 = kt
900 = 90 x t
t = 10 hr
Question 64 1 / -0
If a student scores 30% marks in a paper, he fails by 6 marks; but if he scores 40% marks, he passes by 2 marks. What are the passing marks?
Solution
The given information is shown on two different scales as given below:
Difference of percentages of total marks = (6 + 2)
10% (40 - 30) of maximum marks = 8
Maximum marks = 80
Passing marks = 30% of 80 + 6 or 40% of 80 - 2 = 30
Question 65 1 / -0
What is the correct factorisation of 64a2 + 64ab + 16b2 ?
Solution
64a2 + 64ab + 16b2 = (8a)2 + 2(8a)(4b) + (4b)2 = (8a + 4b)2
Question 66 1 / -0
The process of fractional distillation is used to separate a mixture of alcohol and water because
Solution
Distillation is used to separate a mixture of two miscible liquids having different boiling points. Since the difference in the boiling points is less than 25 K, a fractional column has to be introduced, in order to speed up the process of condensation of vapours.
Question 67 1 / -0
The applications of three processes P, Q and R for the separation of mixtures are given in the table below. Identify the processes/apparatus by choosing the correct option from the given alternatives.
Processes Properties P Used to separate suspended particles from water Q Used to separate immiscible liquids R Used to separate a mixture of NaCl and water
Solution
'P' is the process of filtration which is used to separate suspended particles from water or another solvent. 'Q' is a separating funnel used in liquid-liquid extractions to separate (partition) the components of a mixture into two immiscible solvent phases of different densities. 'R' is distillation, a process which is used to separate a mixture of NaCl and water. This process includes a combinations of the processes of vaporisation and condensation.
Question 68 1 / -0
What type of a mixture do iodine and alcohol form?
Solution
Iodine and alcohol form a true solution in which iodine is the solute and alcohol is the solvent. It is a solid-liquid homogeneous mixture.
Question 69 1 / -0
Burning of coal is the main source of which of the following pollutants?
Solution
Sulfur dioxide is the major pollutant that comes from the burning of coal or oil in power plants. It dissolves in the rain water and comes down as acid rain. It is also the chief cause of winter smog.
Question 70 1 / -0
Which of the following constituents of petroleum is used as a solvent for dry cleaning?
Solution
Dirt and grease are soluble in non-polar organic solvents. Petrol is a constituent of petroleum, which is used as a solvent for dry cleaning.
Question 71 1 / -0
Select the fuel which contains 75% methane and does not produce smoke.
Solution
Methane is the main component of biogas, which is a clean fuel and does not produce smoke. It leaves no residue. The chemical composition of biogas is as follows: 50–85% CH4 (methane); 20–35% CO2 ; H2 , N2 and H2 S form the rest.
Question 72 1 / -0
Which of the following statements is not applicable to carbon compounds?
Solution
Carbon forms compounds by sharing of electrons. They have weak inter-molecular forces of attraction. They are non-polar in nature and are covalent compounds. Hence, the statement in option (2) is incorrect. All the other statements regarding carbon compounds are correct. Due to weak forces of attraction between covalently bonded carbon compounds, they have low melting and boiling points. Carbon compounds form homologous series which are groups of compounds with the same general formula and similar properties. Due to non-polar nature of carbon compounds, they are generally soluble in organic solvents.
Question 73 1 / -0
Why does carbon form a large number of compounds? a. Because of its property of catenation b. Because of its tetravalency c. Because it exhibits isomerism
Solution
Carbon forms a large number of compounds. a. Owing to its property of catenation, it can form long chains of carbon atoms which may be straight chains or branched chains or form cyclic rings. b. Because of its tetravalency, it can simultaneously bond to four other atoms. c. It exhibits isomerism, and we have carbon compounds having the same molecular formulae but different properties.
Question 74 1 / -0
Mica and limestone are _________ minerals.
Solution
Mica and limestone are usually considered to be non-metallic minerals. Although certain metal elements are a part of their formulae, the minerals themselves is not a source of metal (mining) and have no particular metallic characteristics.
Question 75 1 / -0
Which of the following minerals is derived from the ore Galena?
Solution
Galena (lead sulphide: PbS) is the chief ore of lead.
Question 76 1 / -0
Which is the largest mechanised iron ore mine in Asia?
Solution
Bailadila range in the belt of Madhya Pradesh and Chattisgarh is situated in Bastar district. It is the largest mechanised mine in Asia.
Question 77 1 / -0
Which of the following is an ecofriendly activity?
Solution
Using windmills to generate power is an ecofriendly activity. Wind power is a clean and environmentally friendly technology that catches or extracts the kinetic energy in the wind and converts it to other useful forms of energy. Wind power does not pollute the atmosphere or consume any fossil fuels when operating because no fuel is burned. Nor does it consume clean water for cooling or leave any hazardous waste behind that could potentially harm the environment.
Question 78 1 / -0
Pure nylon is not used in the making of
Solution
Pure nylon is not used in the making of carpets because the properties of nylon are such that friction (i.e. walking across the carpet) causes the fibres to build up a static charge. In order to get around this problem, most manufacturers treat their nylon carpets with an anti-static chemical which prevents the static charge from accumulating.
Question 79 1 / -0
Which of the following is/are biodegradable?
Solution
Wood is a biodegradable substance because it is decomposed by the action of microorganisms.
Question 80 1 / -0
Which of the following substances is not classified as artificial silk?
Solution
Jute is a natural fibre and cannot be classified as artificial silk. Artificial silk or (as the term is used in the textile industry) art silk is a synthetically manufactured fibre which resembles silk but is cheaper to produce. Artificial silk is just a synonym for rayon and it is also sometimes called bamboo silk. In the present day, imitation silk may be made with rayon, mercerised cotton, polyester, a blend of these materials, or a blend of rayon and silk.
Question 81 1 / -0
The rod or stem in a gold leaf electroscope is made of
Solution
The rod or stem in a gold leaf electroscope is made of brass. This is because brass is a good conductor of electricity and charge can flow freely through the conductors.
Question 82 1 / -0
If a charged body attracts another body, then the charge on the other body _______.
Solution
If a charged body attracts another body, then the charge on the other body may be negative or positive, because if the first body has a positive charge then the other body will have a negative charge and vice-versa.
Question 83 1 / -0
The resultant of all forces acting on a body is zero. Which of the following statements cannot be true?
Solution
'Balanced forces' means no net force is acting on the object. Hence, it cannot undergo any acceleration. Hence, option (1) cannot be true.
Question 84 1 / -0
If bodies A and B having masses 200 kg and 300 kg respectively are at rest, then the force required to change the state of rest will be
Solution
mA = 200 kg mB = 300 kg More the mass, more is the inertia of rest i.e. more will be the force required to change the state of rest. Hence, B will require larger force.
Question 85 1 / -0
Which of the following is/are contact force(s)?
Solution
Muscular force can be applied only when it is in contact with an object and frictional force arises due to contact between two surfaces.
Question 86 1 / -0
If the current passing through a conductor is doubled, what will be the change in heat produced?
Solution
We know that H = I2 Rt; where H = Heat produced I = Current passed through the conductor R = Resistance t = Time So, if the current passing through a conductor is doubled, heat produced will be four times.
Question 87 1 / -0
Nichrome alloy is used for making heating elements of electrical appliances because it has high
Solution
Nichrome is an alloy of 80% nickel and 20% chromium. It is an ideal material for making heating elements of electrical appliances because it has relatively high resistance and forms an adherent layer of chromium oxide.
Question 88 1 / -0
Which physical quantity is equal to 'one coulomb of charge that flows through a cross-section of a conductor in one second'?
Solution
One ampere is equal to 'one coulomb of charge that flows through a cross-section of a conductor in one second'.
Question 89 1 / -0
What is the measure of angle of reflection in the given diagram?
Solution
According to law of reflection,
i =
r
Since angle of incidence = 30°, angle of reflection will be 30°.
Question 90 1 / -0
Which of the following parts of an eye controls the size of pupil?
Solution
Light enters the eye through the pupil, and the iris regulates the amount of light by controlling the size of the pupil.
Question 91 1 / -0
The part of the eye that helps the eye lens to focus on the near and distant objects in quick succession is the _________________
Solution
The part of the eye that helps the eye lens to focus on the near as well as distant objects in quick succession is the ciliary muscles. These muscles are made of layers of smooth muscle in a circular shape that help to suspend the lens.The main function of the ciliary muscles is to contract and relax change the shape of the lens in the eye to help with focusing. Another function of the ciliary muscles is to help regulate the flow of aqueous humor in the eye.
Question 92 1 / -0
Which of the following is not a vestigial organ in man?
Solution
The function of the ileum is mainly to absorb vitamin B12 and bile salts and whatever products of digestion were not absorbed by the jejunum.
Question 93 1 / -0
Which of the following is a connecting link between reptiles and birds?
Solution
Archaeopteryx is a genus of bird-like dinosaurs that is transitional between non-avian feathered dinosaurs and modern birds.
Question 94 1 / -0
The purpose of 'Chipko movement' was to save
Solution
'Trees' is the correct answer. In the 1970s, an organised resistance to the destruction of forests spread throughout India and came to be known as Chipko movement. The name of the movement came from the word 'embrace', as the villagers hugged the trees, and prevented the contractors from felling them.
Question 95 1 / -0
Which of the following is an example of mutualism?
Solution
Lichens live in symbiotic relationship with blue green algae, which is an example of mutualism.
Question 96 1 / -0
Dry farming in India is extensively practised in
Solution
The Deccan Plateau has a dry season that lasts six to nine months. Much of its surface is covered by thorn scrub forest interspersed with small areas of deciduous broadleaf forest. The climate of the region varies from semi-arid in the north to tropical in most of the region with distinct wet and dry seasons. Rain falls during the monsoon season from about June to October. Hence, dry farming is carried out in Deccan region.
Question 97 1 / -0
Which of these is a Kharif crop?
Solution
Kharif crops include rice, maize, sorghum, pearl millet/bajra, finger millet/ragi (cereals), arhar (pulses), soybean, groundnut (oilseeds), cotton, etc. Rabi crops include wheat, barley, oats (cereals), chickpea/gram (pulses), linseed, mustard (oilseeds) etc. Hence, option (3) is correct.
Question 98 1 / -0
What type of asexual reproduction is shown in the given figure?
Solution
The type of asexual reproduction shown in the given figure is budding. Budding in hydra involves a small bud which is developed from its parent hydra through the repeated mitotic division of its cells.
Question 99 1 / -0
How is tidal energy generated?
Solution
The gravitational pull of moon on spinning Earth causes the rise and fall in the sea level. This is called high tide and low tide, and the difference in water levels between high and low tides gives us tidal energy.
Question 100 1 / -0
How is a reservoir-type hydro power plant useful for the environment?
Solution
A hydro power plant helps in irrigation and in controlling floods. Dammed reservoirs are used for multiple purposes, such as agricultural irrigation, flood control, and recreation, and not all wildlife impacts associated with dams can be directly attributed to hydroelectric power. Also, hydroelectric power does not pollute the water or the air.