116
Q:

# Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?

 A) 20 years B) 22 years C) 25 years D) 27 years

Explanation:

Let Varun's age today = x years.

Then, Varun's age after 1 year = (x + 1) years.

Therefore x + 1 = 2 (x - 12) $\inline \Rightarrow$ x + 1 = 2x - 24 $\inline \Rightarrow$ x = 25.

Q:

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

 A) 12 & 7 B) 13 & 8 C) 15 & 10 D) 14 & 9

Explanation:

x – y = 5

4x – 6y = 6

x = 12 y = 7

0 4
Q:

The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6 and 7, 7, 7, 7, 7, 7, 7 is   ?

 A) 6 B) 9 C) 7 D) 5

Explanation:

Arithmatic mean = sum/members

=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)

=> 140/28 = 5

1 23
Q:

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is  ?

 A) 5 B) 4 C) 7 D) 6

Explanation:

Let the number be x. Then,

$\inline \fn_jvn \small 3x^{2}$ - 4x = x + 50

$\inline \fn_jvn \small 3x^{2}$ - 5x - 50 = 0

(3x + 10)(x - 5) = 0

x = 5

2 15
Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

 A) 30 B) 27 C) 23 D) 33

Explanation:

Then, A:B = 2:3 and B:C = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5
A:B:C = 2:3:24/5
= 10:15:24 => B = 98 x 15/49 = 30.

3 45
Q:

Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'  ?

 A) 4 B) 10 C) 8 D) 5

Explanation:

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.