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Q:

$\frac{854 * 854 * 854 - 276 * 276 * 276}{854 * 854 + 854 * 276 + 276 * 276} = ?$

A) 546	B) 578
C) 607	D) None of these

Answer & Explanation Answer: B) 578

Explanation:

Given exp . is like this $\frac{854 * 854 * 854 - 276 * 276 * 276}{854 * 854 + 854 * 276 + 276 * 276} = ?$

so ans = 854 - 276 = 578

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Filed Under: Numbers

Q:

$9 \frac{3}{4} + 7 \frac{2}{17} - 9 \frac{1}{15} = ?$

A) 7 + 719/1020	B) 9 + 817/1020
C) 9 + 719/1020	D) 7 + 817/1020

Answer & Explanation Answer: D) 7 + 817/1020

Explanation:

$g i v e n s u m = 9 + \frac{3}{4} + 7 + \frac{2}{17} - (9 + \frac{1}{15})$

$(9 + 7 + 9) + (\frac{3}{4} + \frac{2}{17} - \frac{1}{15})$

=> $\frac{7 + (765 + 120 - 68)}{1020}$ => $7 + \frac{817}{1020}$

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Filed Under: Numbers

Q:

On dividing 2272 as well as 875 by 3-digit number N,we get the same remainder.The sum of the digits of N is:

A) 13	B) 12
C) 11	D) 10

Answer & Explanation Answer: D) 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

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Filed Under: Numbers

Q:

If the number 517?324 is completely divisible by 3,then the smallest whole number in place of ? will be:

A) 2	B) 1
C) 3	D) 7

Answer & Explanation Answer: A) 2

Explanation:

Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = ( 22 + x ), which must be divisible by 3.

When x=2. [(22 + 2) = 24 is divisible by 3]

So, the answer is 2

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Filed Under: Numbers

Q:

If 60% of $\frac{3}{5}$ of a number is 36, then the number is

A) 86	B) 94
C) 100	D) 115

Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of $\frac{3}{5}$ of x=36.

=> $\frac{60}{100} * \frac{3}{5} * x = 36$

=> $\frac{9 x}{25} = 36$ => x= $\frac{25 * 36}{9} = 100$

Required number is 100.

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Filed Under: Numbers

Q:

A number when divided by 296 leaves 75 as remainder.When the same number is divided by 37,the remainder will be:

A) 1	B) 3
C) 5	D) 2

Answer & Explanation Answer: A) 1

Explanation:

Let the Number be Y.

Then Y = 296 q + 75

= (37 x 8)q +( 37 x 2) + 1

= 37 (8q + 2) + 1

Thus, when the number is divided by 37, the remainder is 1

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Filed Under: Numbers

Q:

The sum of the present ages of a father and his son is 60 years. five years ago, father's age was four times the age of the son. so now the son's age will be:

A) 5	B) 10
C) 15	D) 20

Answer & Explanation Answer: C) 15

Explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 5= 4(x - 5)

55 - x = 4x - 20

5x = 75 => x = 15

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Filed Under: Problems on Ages

Q:

Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?

A) 4:6:8	B) 4:7:8
C) 4:8:16	D) 4:9:16

Answer & Explanation Answer: D) 4:9:16

Explanation:

Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.

Then, 12x : 8y : 6z = 4 : 6 : 8

Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4

And, 12x/6z = 4/8 <=> 4x=z <=> z=4x

Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16

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Filed Under: Partnership

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