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Q:

The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]

A) 35 years	B) 40 years
C) 45 years	D) 47 years

Answer & Explanation Answer: C) 45 years

Explanation:

Let, Total of current ages of the 2 daughters is A years.
Then, father’s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father’s current age = 45 years.

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Filed Under: Problems on Ages

Q:

If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

A) 55.6003	B) 53.603
C) 153.6003	D) 213.003

Answer & Explanation Answer: C) 153.6003

Explanation:

4*A + 7/B + 2*C + 5/D + 6*E =47.2506
=> 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006
Comparing the terms on both sides, we get :
4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006
A = 10,
B = 1,
C = 0.1,
D = 100,
E = 0.0001.
5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001)
=50 + 3 + 0.6 + 100 + 0.003 = 153.6003.

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Filed Under: Decimal Fractions

Q:

If n is natural number , then $(6 n^{2} + 6 n)$ is always divisible by :

A) 6 only	B) 6 and 12 both
C) 12 only	D) by 18 only

Answer & Explanation Answer: B) 6 and 12 both

Explanation:

$(6 n^{2} + 6 n) = 6 n (n + 1)$ , which is always divisible by 6 and 12 both, since n(n+1) is always even.

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Filed Under: Numbers

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:

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

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