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Q:

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is ?

A) 11 B) 7
C) 9 D) 13
 
Answer & Explanation Answer: C) 9

Explanation:

Here the number of cogs is inveresly proportional to number of revolutions

=> More cogs less revolution
=> 6 : 14 :: x : 21
=> (21x6)/14 = 9

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Filed Under: Ratios and Proportions
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Q:

Find out the wrong number in the following series ?

2880, 480, 92, 24, 8, 4, 4

A) 480 B) 92
C) 24 D) 4
 
Answer & Explanation Answer: B) 92

Explanation:

The given series of numbers follow the rule that,

2880/6 = 480
480/5   = 96
96/4     = 24
24/3     = 8
8/2       = 4
4/1       = 4

But 92 is not in the rule. It is the wrong number in the given series.

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Q:

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

A) 844 B) 814
C) 840 D) 820
 
Answer & Explanation Answer: B) 814

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm

Required number of tiles =1517 x 902/(41 x 41) = 814.

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Filed Under: Area
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Q:

If you write down all the numbers from 1 to 100, then how many times do you write 4 ?

A) 11 B) 20
C) 17 D) 14
 
Answer & Explanation Answer: B) 20

Explanation:

4, 14, 24, 34, 44, 54, 64, 74, 84, 94 => has 11 number of (4's)
40, 41, 42, 43, 45, 46, 47, 48, 49 => has 9 number of (4's)
So, totally (11 + 9 = 20) number of 4's in 1 to 100.

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Filed Under: Numbers
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Q:

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Assume the family has X girls and Y boys, according to the question,
we can have 2 equations:
X-1=Y, 2(Y-2)=X.
Solve the equations, we get X=4, Y=3.

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Filed Under: Arithmetical Reasoning
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Q:

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ?

A) 13/125 B) 14/57
C) 11/120 D) 16/41
 
Answer & Explanation Answer: C) 11/120

Explanation:

Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM
Then, a + b = 55 and ab = 5 x 120 = 600.
=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120

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Filed Under: HCF and LCM
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Q:

The largest 4 digit number exactly divisible by 88 is ?

A) 9944 B) 9768
C) 8888 D) 9988
 
Answer & Explanation Answer: A) 9944

Explanation:

The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.

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Q:

Find out the wrong term in the given series of numbers ?
6, 15, 35, 77, 165, 221

A) 35 B) 165
C) 221 D) 77
 
Answer & Explanation Answer: B) 165

Explanation:

The given series follow the rule that :

Multiplying consecutive prime numbers
2,3,5,7,11,13,17,19....
2x3 = 6
3x5 = 15
5x7 = 35
7x11 = 77
11x13 = 143
13x17 = 221
So, the wrong term is 165.

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Filed Under: Odd Man Out
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