AISSEE Class IX...

If z denotes a digit in the given number 789z45, such that the number is divisible by 3, then what can be the value of z?

Which of the following numbers is in standard form?

(2³+ 6) : 4² is same as

Find the value of X, Y and Z in the following and calculate the value of X + Z - Y.

Find the simplified form of (x² – 3)(x + 3) + 9.

The number of edges of triangular prism are

The mean consumption of petrol of a group of 20 cars is 65 litres. 2 other cars with consumption as 89 litres and 85 litres, respectively were added to the group. What is the new mean consumption for the group of cars?

A dice is rolled and a coin is tossed. What is the probability of getting heads and an even number?

What will be the value of 56² - 14²?

What will be the value of ?

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. Find the number of bricks required.

Which of the following is a perfect cube?

The simple interest on a certain sum of money for 4 years at 4% per annum is less than the compound interest on the same sum for 2 years at 10% per annum by Rs. 60. Find the sum.

Johnny purchased 3 novels marked at Rs. 95 each, a Chemistry book marked at Rs. 180 and an Oxford dictionary marked at Rs. 470. He received Rs. 187 as a discount on the total marked price. Find the discount percentage.

If the selling price (SP) of an article is of its cost price (CP), the percentage profit in the transaction is

A batch of troopers was in a camp for 1 month and 20 days from 1^st June. There was enough food for 70 troopers, but 10 of them left after 20^th day. How long will the food last, if they consume food at the same rate?

Mohak is travelling from one part of Toronto to another, which is 30 km away. He began his journey in a metro at the speed of 50 km/h and covered half of the distance. Then, he covered the rest of the distance in a local bus at a speed of 20 km/h. How much time did he take to reach from one part of Toronto to another?

What will be p² + , if p - = 10?

What number should be added to to get ?

16^2.5 : 4⁵ is the same as

Find 2 consecutive even numbers such that one third of the larger exceeds one-fifth of the smaller by 2.

How many 2-digit numbers are possible such that the sum of their digits is equal to twice the difference between the digits?

If 0.48 + 1(8a + 3) = 0.96(0.5 + 9a), then a is equal to

If the width of a rectangle is equal to the side of a square, find the area of the square when the diagonal of the rectangle is cm and its length is 12 cm.

A person has a rope and he wants to make a square from that rope. The square that he makes using the rope has an area of 225 m². Find the length of the rope.

The perpendicular distance between the parallel sides of a trapezium is 15 cm. If the area of the trapezium is 495 cm², then find the length of the larger of parallel sides, if they are in ratio of 6 : 5.

Directions: Study the given information carefully and answer the question that follows.

The marks of 12 students in a class test are as follows.

61, 56, 49, 72, 75, 69, 56, 53, 68, 55, 58, 61

Find the median, if one of the students scored 96 marks, but the teacher entered it wrongly as 69.

Which of the following least numbers must be added to 621 to make it a perfect square?

A person is filling fuel in the car. The tank of the car is in the form of a cylinder. If height of tank is 80 cm and diameter is 84 cm, then calculate the fuel that a person can fill in that car.

By what least number should 13718 be divided to get a perfect cube?

Find the value of 'x'.

= 6x – 66

A sold a watch to B at a gain of 5% and B sold it to C at a gain of 4%. If C paid Rs. 1,092 for it, the price paid by A is

Adolf can do a task in 15 days, but Beggie can do the same task in 25 days. Both started working together, but after 6 days, Adolf left. In how many days will Beggie complete the remaining task?

There are 96 square tiles which make up the floor of the hall in a wedding palace. If the perimeter of each tile is 8 m, what is the area of the floor of the hall?

Find the number of small cubes of 100 cm edge that can be cut out from a cube of 5 m edge.

Rohan has a cylindrical flask whose height is 26 cm. If the total amount of liquid that it can store is 4004 cm³, then find the diameter of flask.

Which of the following numbers is the same as ?

Ella is trying to find the volume of a cuboid whose edges are in ratio of 2 : 3 : 4. Find the volume of the cuboid, if the surface area is 1300 cm².

A cyclist started with a speed of 30 km/hr in a race. After every lap of one hour each, he increased his speed by 5 km/h. In how many laps will he cover 450 km?

The average of 21 results is 54. If the average of the first 11 results is 51 and that of the last 11 is 57, find the 11^th result.

Which of the following numbers is the same as ?

What will be the value of (z + 2)(z² + 2)(z - 4)?

A square pyramid consists of

What is the value of 9x - 52 + x²?

If (x + y + z) = 5 and xy + yz + xz = 8, then what is the value of x² + y² + z²?

For how long was he having a rest and from what time to what time?

How much is the total distance covered?

Find the average distance covered per hour.

What is the scale taken on the distance axis?

Maximum distance was covered during

Directions: Select the option that best punctuates the given sentence.

Directions: In the following question, a sentence has been given in direct/indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in indirect/direct speech.

My mother says, "I have often told you not to play with fire."

Directions: In the following question, a sentence has been given in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.

He could have solved the problem.

Directions: In the following question, out of four alternatives, select the word similar in meaning to the word given.

Incensed

Directions: In the following question, select the word similar in meaning to the word given.

Dodge

Directions: In the following question, out of the given four alternatives, select the one which best expresses the meaning of the given word.

Perky

Directions: In the following question, out of the four alternatives, choose the one which best expresses the meaning of the given Idiom/Phrase.

Bite the dust

Directions: In the following question, choose the word opposite in meaning to the given word.

Elegance

The plural of 'virus' is:

Directions: Read the sentence to find out whether there is any grammatical or idiomatic error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is (D). (Ignore the errors of punctuation, if any)

All the good dancers (A) has participated in (B) the cheer leading squad. (C) No error (D)

Directions: Choose the correct order to make the sentence below meaningful.

wanted could and (1)/ and cross the seas (2)/ to cross these frontiers (3)/ did scale the mountains (4)/ while it was difficult (5)/ those who (6)

Directions: Choose the correct idiom or phrase to complete the sentence.

Having walked four miles, I felt tired and wanted to _________.

Directions: Fill in the blank with the suitable conjunction.

She had been invited to the party, _______ she stayed home.

Complete the following maxim.

A journey of a thousand miles begins with a single ______.

The right suffix for the word 'honest' to make it an abstract noun is:

Directions: Find the prefix for the following word:

Heat

Directions: The item consists of a sentence with an underlined word followed by four words. Select the word that is most nearly opposite in meaning to the underlined word.

The culprit was sentenced by the Court.

Directions: The item consists of a sentence with an underlined word followed by four words. Select the word that is most nearly opposite in meaning to the underlined word.

His short but pointed speech was applauded by all sections of the audience.

Directions: The item consists of a sentence with an underlined word followed by four words. Select the word that is most similar in meaning to the underlined word.

House rent in cities like Mumbai or Delhi has risen to astronomical figures beyond the reach of even high-salaried people.

Directions: The item consists of a sentence with an underlined word followed by four words. Select the word that is most similar in meaning to the underlined word.

Appropriate technology holds the key to a nation's development.

The adjective form of 'ambition' is:

What does 'Nature' in the passage mean?

According to the passage, which one of the following is the correct statement?

What does 'struggle' in the passage mean?

Why will a beautiful landscape 'fill us with infinite satisfaction'?

The ______ galaxy which was formed 5 billion years after the explosion is the home of the Earth and the Solar System.

______ rotates faster than any other planet, completing one rotation in less than 10 hours.

__________, an important component, is present in the top layer of the soil that determines the soil fertility.

In ancient times, air was considered to be an element. A number of scientist tried to find out the exact composition and nature of air. In 1774, Lavoisier, a French chemist, showed that air is a mixture and the main gases in it are nitrogen and oxygen.

Air is a mixture. It has certain properties. Pick out the correct property/properties of air.

What is the role of a catalyst in a reaction?

Which of the following substances falls under the category of mixtures?

From which of the following sources, do we get the purest form of water?

The mass of an atom is equal to the _______.

Isotopes have the same _________ but different _________.

(i) atomic number, mass numbers
(ii) mass number, atomic numbers
(iii) physical properties, chemical properties
(iv) chemical properties, physical properties

Which of the following metals is the best conductor of heat?

Which of the following is not a functional group?

Which of the following is a property of a prokaryotic cell?

Which of the following is TRUE with respect to bacteria?

Why do stars twinkle?

Which of the following is the correct unit of optical power?

Which of the following devices converts electric energy into mechanical energy?

Materials that allow electric current to flow through them are conductors. Which of the following statements about conductors is false?

Why are lubricants applied to rubbing surfaces of machines?

Which of the following should be applied on the carom board to reduce friction?

Energy can neither be created nor destroyed, it can be transformed from one form to another form. This law is called

_______ is a natural gas produced from waste products.

_____ bodies absorb more heat and light than white bodies.

Which of the following diseases cannot be cured with antibiotics?

Which of the following is a protein-deficiency disease?

Match the following:

What was the term used for the revenue collecting department of the state?

Which man is the pioneer in spreading modern education and social reforms among Muslims?

By the 18^th century, which of the following commodities were produced on large plantations in America by slave labour and exported to other countries?

The person who established British rule in India

India came directly under the rule of the British crown under the year ______.

The Kuka movement to overthrow the British rule was organised in

Who among the following used cloth as a symbolic weapon against the British rule?

The British industrial policy in India has been rightly called the policy of

The first victim of the British policy of Subsidiary Alliance was

In Modern Age, women too encouraged writings for awakening and social reforms. They wrote several books. 'Aamar Jiban' published in 1876 A.D. was written by

Alluri Sitarama Raju's rebellion (1922 - 1924) took place in

In February 1933 Gandhiji started the publication of a weekly paper, Harijan, to promote the anti - untouchability campaign. Its first issue was out on February 11, 1933 from

Goa, immediately after Independence of India, became

When did the British East India Company's rule come to an end in India?

Indian Constitution was formulated by

The Indian Constitution is a Republican Constitution because it has

Meaning of secularism is

Which of these organs of the United Nations is also the parliament of the United Nations?

The Foreign Trade Policy is framed by

In a cyclone hit area, as a preventive measure,

Intensity of earthquake is measured using

Which natural disaster is very rare in India?

Which of the following is/are abiotic natural resource(s)?

Which of the following resources is a potential natural resource?

Which of the following rivers became the world's first natural resource to be given its own legal identity, with the rights, duties and liabilities of a legal person?

Directions: The question contains a pair of CAPITALISED words followed by five pairs of words. Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.

BEGINNING : ENDING

Directions: In the following question, there is a relationship between the two terms to the left of : : and the same relationship holds between the two terms to its right, of which one term is missing. Identify the correct option.

ACF : GIL : : PRU : ?

Directions: In the following question, there is a relationship between the two terms to the left of : : and the same relationship holds between the two terms to its right, of which one term is missing. One of the four given options contains the missing term. Identify the correct option.

MNO : RQP : : WXY : ?

Directions: In the following question, there is some relationship between the two groups on the left of : : and the same relationship exists between the two groups on its right. Find the missing group.

PALE : LEAP : : POSH : ?

Directions: In this question, the two terms given to the left of the sign (: :) bear a certain relationship to each other. The same relationship exists between the two terms to its right, out of which one is missing. Identify the relationship and find the missing term.

42 : 56 : : 110 : ?

Directions: There is some relationship between the two pairs of numbers on the left of the sign (: :). The same relationship exists between the two terms on the right, of which one is missing. Find the missing one from the given alternatives.

144 : 72 : : 198 : ?

Directions: In the following question, a series is given with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

I2, K3, M5, O7, Q11, __

Directions: In the following question, a series is given with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

6, 9, 18, 21, 42, 45, __

Directions: In the following question, a series is given with one or two terms missing. Choose the correct alternative from the given options that will complete the series.

3, 7, 16, 35, __

Directions: Choose the correct alternative that will continue the same pattern in the given series.

17, 13, 11, 7, 5, 1, ___

Directions: Choose the letter which when placed at the sign of interrogation (?) would complete the matrix.

Directions: Choose the letter which when placed at the sign of interrogation (?) would complete the matrix.

Which letter will replace the question mark (?) and complete the matrix?

What number should come in place of the question mark to complete the third figure?

A is standing at 6^thposition and B is standing at 16^thposition from the right end of a row. How many people are standing between A and B?

A policeman left his police post and proceeded 4 km towards South, after hearing a loud sound from a point A. On reaching point A, he heard another sound and proceeded 4 km to the left to reach another point B. From point B, he proceeded left to reach a point 4 km away. In which direction should he go to reach his police post?

Seven is added to a certain number. The sum is multiplied by 5, the product is divided by 9 and 3 is subtracted from the quotient. The remainder left is 12. What is the number?

How many triangles are there in the following figure?

Directions: In the following question, four figures are given. Three of them are similar in some way, but one figure is unlike the other three. Select the figure which does not belong to the group.

Directions: In the following question, arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.

1. Wound
2. Writer
3. Whiter
4. Worst
5. Worked

In a certain coding system, 'PAGES' is coded as 23719 and 'GUEST' is coded as 75196. How will you code 'STAGE' in this coding system?

If 2^nd August of a year is Tuesday, then what would be the day on 2^nd August after 3 years?

From the given words, select the one which cannot be formed using the letters of the given word.

FAMISHED

Which of the following four interchanges in signs would make the given equation correct?

115 ÷ 26 × 9 - 3 + 20 = 57

If + stands for , - for , for - and for +, then find the value of 26 + 74 - 4 5 2.