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Q:

In a class there are certain no. of boys and girls. If 15 girls are absent then no. of boys will be twice that of girls. If 45 boys are absent then girls strength will be 5 times that of boys. Find number of boys actually present ?

A) 40	B) 50
C) 55	D) 35

Answer & Explanation Answer: B) 50

Explanation:

15 girls are absent => b = 2(g-15)...... eqn...(1)

45 boys are absent => g - 15 = 5(b-45).....eqn...(2)

=> g = 5(b-45) + 15

=> b = 2((5(b-45)+15)-15)

=> b = 2(5b - 225 + 15 - 15)

=> b = 2(5b-225)

=> b = 10b - 450

=> 9b = 450

=> b = 50

so from equation(2)

g - 15 = 5(b - 45)

=> g - 15 = 5(50-45)

=> g - 15 = 5(5)

=> g = 25 + 15

=> g = 40

Therefore, the number of boys = 50 and girls = 40

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Q:

There are five bags. In the first bag we put some fruits. Each bag the number of fruits is reduced by 1/4. The last bag contains 4. Then the number of fruits in the first bag is ?

A) 2596	B) 1024
C) 256	D) 64

Answer & Explanation Answer: B) 1024

Explanation:

Fruits reduced by 1/4.
Total no. of bags N = 5
Formula to find no. of fruits in 1st bag = 4^n
Last Bag = 4 fruits.
That means, 4th bag = 4 x 4 = 16 fruits
3rd bag = 16 x 4 = 64 fruits
2nd bag = 64 x 4 = 256 fruits
1st bag = 256 x 4= 1024 fruits.

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Q:

Rajeev works in the security section of a bank. Everybody in the company is either an IT person or a finance person or both. The assignment that rambo is currently working on has five people from finance and three people from IT,including him. Of the 26 finance people in his department, a total of 16 are in his section. Of the 18 IT people in his department, 10 are not in Rajeev section. There is nobody in Rajeev section who is both a finance person and an IT person. Fifteen people in his department do not belong to his section.

Questions :

1)How many IT people are there in Rajeev's department who are not a finance person and are not in Rajeev's section ?

A)1 B)3 C)5 D)8

2)what number finance people in Rajeev's department are not in his section?

A)26 B)10 C)21 D)16

Answer

Finance person in his department = 26
IT persons in his department = 18
Finance person in his section = 16
IT persons in his section = 8
Total in his section = 16+8 = 24
Total people in his depatment = 26+18 = 44
only 15 people in his dept are not in his sec
and 44-24 = 20
so 20-15 = 5 people belong to both finance and IT

Answer 1) is 'C'.

IT persons in his department = 18(total IT) - 8(section) - 5(both) = 5

Answer 2) is 'B'

Finance persons not in his section = 26 - 16 = 10

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Q:

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

A) 19	B) 23
C) 17	D) 15

Answer & Explanation Answer: B) 23

Explanation:

If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer

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Q:

In a street, there are certain number of houses. People in that street are decided to paint their houses with certain colours. If four houses are painted with each colour, then one house will be left without any colour. If five houses are painted with each colour, then one colour will remain. Find the number of houses in that street ?

A) 25	B) 6
C) 32	D) 7

Answer & Explanation Answer: A) 25

Explanation:

Let x be number of houses and y be colors.

on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25

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Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142	B) 181
C) 156	D) 179

Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

$1^{2} + 2^{2} = 5$

$3^{2} + 4^{2} = 25$

$5^{2} + 6^{2} = 61$

$7^{2} + 8^{2} = 113$

SO NEXT IS, $9^{2} + 10^{2} = 181$

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Q:

A group of 1200 persons consisting of boys and girls is travelling in a Bus. For every 15 boys there is one girl. The number of girls in the group is ?

A) 60	B) 65
C) 70	D) 75

Answer & Explanation Answer: D) 75

Explanation:

If there are x girls, then
x + 15x = 1200
16x = 1200
x= 1200/16 = 75

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Q:

What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?

A) 3	B) 5
C) 7	D) 9

Answer & Explanation Answer: A) 3

Explanation:

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