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Complete the series.
1, 3, 7, ?, 21
1 + 2 = 3 3 + 4 = 7 7 + 6 = 13 13 + 8 = 21
Pharrell invited 50 friends on her birthday party. She thought of serving snacks and a soft drink and bought 4 bottles of soft drink of volume 2 litres each, and 1 bottle of soft drink of volume 1 litre. What volume of soft drink will be served to each person if it is distributed among 50 of her friends equally?
Total volume of soft drink available = (4 × 2 + 1 × 1) L = 9 L Distributing 9 L of soft drink among 50 of her friends = 9/50 = 0.18 L = 180 mL So, each of her friends will be served 180 mL of soft drink in the party.
Alisha had 46 ribbons for the art project. She gave 13 to Namita and got 6 from Akira. How many ribbons is Alisha left with?
The number of ribbons that Alisha is left with = 46 - 13 + 6 = 33 + 6 = 39
What is the HCF of 25 and 40?
Prime factors of 25 = 1 × 5 Prime factors of 40 = 2 × 2 × 2 × 5 HCF = 5
Hari says that sum of two numbers is 43.060. If one of them is 31.66, then find the other number.
Let the other number be x. According to question, 31.66 + x = 43.060 x = 43.060 – 31.66 = 11.4
In a kitchen garden, a snail covers 230 cm in 1 minute, while Ankit covers or walks 4 m in just 30 seconds. What is the total distance covered by both of them together in one minute?
Distance covered by the snail in one minute = 230 cm Distance covered or walked by Ankit in 30 seconds = 4 m Distance covered by Ankit in one minute or 60 seconds = 8 m We know that 1 m = 100 cm, so 230 cm will be 230 ÷ 100 = 2.3 m Now, the total distance covered in metres = 8 m + 2.3 m = 10.3 m
From the given options, choose the one which shows the product of 12.5 g and 2.5.
Product of 12.5 g and 2.5 = 12.5 g × 2.5 = 31.25 g
A man buys two pens at Rs. 20 each. He sells one at a gain of 5% and the other at a loss of 5%. Find his gain or loss percentage.
CP of each pen = Rs. 20 SP of 1st pen = Rs. (20 + 5/100 × 20) = Rs. 21 SP of 2nd pen = Rs. (20 – 5/100 × 20) = Rs. 19 So, Total SP = Rs. 21 + Rs. 19 = Rs. 40 Total CP = Rs. 40 Hence no loss or gain
Perimeter of a rectangle is 16 m and its length is 2 m more than its breadth. What is the area of the rectangle?
Let breadth = x m Length = (x + 2) m Perimeter = 2(x + x + 2) = 16 2x + 2 = 8 x = 3 m Length = 3 + 2 = 5 m Breadth = 3 m Area of rectangle = l × b = 15 m2
A brick company arranges bricks on a square wooden crate to transport them easily. The stack of bricks on the crate is 9 bricks high. There are 4 bricks placed along each side of the crate. How many bricks are there in each crate?
Number of bricks = 4 x 4 x 9 = 16 x 9 = 144
Study the following information and answer the question that follows.
The pictogram below shows the number of coins with four friends.
If each circle represents 3 coins, how many coins does David have?
Each circles represents 3 coins. So, David has (3 x 6) = 18 coins.
Find three consecutive even numbers such that the sum of first number, twice of second number and three times the third is equal to 100.
Let 1st even number = x 2nd even number = x + 2 3rd even number = x + 4 ∴ x + 2(x + 2) + 3(x + 4) = 100 ∴ x = 14 ∴ Three even numbers are 14, 16, 18.
Directions For Questions
Directions: Read the given passage carefully and select the best answer to the question.
He was a vendor of sweets. He had his own peculiar method of advertising and doing business. He never depended upon others for help and worked hard all alone. I speak of Murali - the man who sold sweets. His customers were children, the future citizens of the world. At the stroke of nine in the morning, Murali would stand in front of the school with his tray of sweets. Till about eleven, the sale would be brisk. After that, he moved off to other places. Even when the sweets became sticky in the heat, his business never slackened. There was depression in his business when the holidays came.
...view full instructions
Who was Murali?
As per the context, it is stated in the very first line that 'He was a vendor of sweets'.
Who were his customers?
As per the context, it is stated that 'His customers were children, the future citizens of the world'.
What time would he go to the school?
As per the context, it is stated that 'At the stroke of nine in the morning, Murali would stand in front of the school with his tray of sweets' which means that he went to school at 9 o'clock in the morning.
Till about eleven, the sale would be
It is stated in the context that 'Till about eleven, the sale would be brisk.'
When did the depression come in his business?
It is stated in the last lines of the passage that 'There was depression in his business when the holidays came'.
Directions: Read the given passage and answer the following question.
Chameleons can make their skin colour change, but not because they decide to. The colour changes to help the chameleon avoid its enemies. It is a form of camouflage, a disguise that lets it blend in with its surroundings. The change is actually determined by environmental factors, such as light and temperature. Bright sunlight causes the skin to darken.
On cool nights, the colour fades to a creamy colour. The colour also changes when chameleons are excited, angry or afraid. The colour change is rapid and increases when the chameleon is handled, injured or approached by another chameleon. There are many types of chameleons. Almost half of them are found on the African island of Madagascar. The others mostly occur in the Sahara Desert, with a few in Western Asia and Southern Europe. Chameleons live on trees, where they usually eat insects. Very large chameleons may even use their sticky tongues to catch birds.
Chameleons change colour when they are
This line, 'The colour also changes when chameleons are excited, angry or afraid'
Half of the world's chameleons are found
This line, 'Almost half of them are found on the African island of Madagascar'
The colour changing ability of a chameleon is a form of camouflage which is a
This line, 'It is a form of camouflage, a disguise that lets it blend in with its surroundings'
A chameleon's colour changes to help it
This line, 'The colour changes to help the chameleon avoid its enemies'
The colour change is determined by
This line, 'The change is actually determined by environmental factors, such as light and temperature'
Directions: Read the passage carefully and choose the best answer out of the four alternatives.
When he heard that a Dutch inventor had invented something called a spyglass, but was keeping it a secret, Galileo Galilei decided to work on one of his own. Within 24 hours, he had invented a telescope that could magnify things to make them appear ten times larger than in real life. One night, he pointed his telescope towards the sky, and made his first of many space observations: the moon was not smooth, like everyone thought. The moon was covered with bumps and craters. As technology has improved, many others have made improvements on the telescope, the wonderful device that allows us to see from a distance.
Give a synonym for 'improvements'.
'Improvements' in this passage means 'to make the technology better'. The only word out of the given options that is synonym of 'better' is 'development'. The 'telescope' was already invented, but now with modifications and developments it has become better.
What is the basic definition of a telescope?
The lines of the passage that give the answer are, "... telescope that could magnify things to make them appear ten times larger than in real life." and "As technology has improved, many others have made improvements on the telescope, the wonderful device that allows us to see from a distance."
What is the main theme of the passage?
The passage started with a Dutch and the invention of spyglass, but after that the whole passage gives the information about Galileo and his telescope.
What was Galileo's observation of the moon?
It's clearly given in the passage that moon is not smooth as everyone thought. Therefore, options 2 and 3 are incorrect. Option 1 cannot be the answer because nothing is given about the brightness of the moon in the passage. However, the information in option 4 is given in the line, "The moon was covered with bumps and craters."
What was the inspiration for Galileo's telescope?
It is given in the first line that the invention of spyglass by a Dutch and his intention of keeping it a secret inspired Galileo to invent a telescope.
Dance involves our sense of rhythm. We have an innate sense of rhythm in us. From the time we are in our mother’s womb, the rhythmic rocking we feel as she walks awakens our instinct of movement. As babies, we are rocked to sleep. As children, we sing nursery rhymes and clap or dance along to them. We have already begun dancing. In many countries, dance is indulged in to cultivate discipline and appreciation for one’s native culture. For instance, in Africa, many tribes initiate their children into adulthood through dance. When we have mastered walking, we learn the rudimentary steps of dance. From there, we are able to choreograph other steps suited to the message we wish to convey. Ironically, we are able to be spontaneous in the midst of discipline.
Throughout the passage, the importance of dance in different stages of life and in different societies has been portrayed.
When is the human being first associated with rhythm?
It is given in the first line, 'We have an innate sense of rhythm in us. From the time we are in our mother's womb, the rhythmic rocking we feel as she walks awakens our instinct of movement.'
Give a synonym for 'spontaneous'.
'Spontaneous' means 'occurring as a result of a sudden impulse or inclination'. Therefore, the closest synonym out of the given options is 'Instinctive'.
Why is dance taught in many countries?
The information is given in the fourth line, "In many countries, dance is indulged in to cultivate discipline and appreciation for one's native culture."
What is the meaning of the word 'rudimentary'?
The meaning of 'rudimentary' is 'basic' or 'elementary'. Therefore, its synonym will be 'basic'. In the passage, it is given "....we learn the rudimentary steps of dance." Here, it means the elementary or basic steps of dance.
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