10
Q:

# Find the next number in the series 14, 916, 2536,......

 A) 4981 B) 6481 C) 4964 D) 6449

Explanation:

The pattern is $1^{2}$$2^{2}$$3^{^{2}}$$4^{2}$$5^{2}$$6^{2}$

The next number= $7^{2}^{}$$8^{2}$ = 4964

Q:

There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?

 A) 121 B) 943 C) 462 D) None

Explanation:

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

1 7
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

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

2 9
Q:

Find the remainder when $\inline \fn_jvn \small 6^{29}$ is divided by 5 ?

 A) 0 B) 1 C) 3 D) 5

Explanation:

All powers of 6 has 6 in units place so answer will definitely be 1.

2 14
Q:

Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77,  but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ?

 A) Rs. 13 and Rs. 17 B) Rs. 17 and Rs. 19 C) Rs. 23 and Rs. 17 D) Rs. 13 and Rs. 19

Explanation:

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

1 43
Q:

At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?

 A) 60 B) 74 C) 82 D) 58

Explanation:

Let,

no. of rice bowl = x
no. of dal bowl = y
no. of meat bowl = z

Then, x + y + z = 65 ....(1)

Also given that, 2x = 3y = 4z

substituting value of y & z in terms of x i.e. y = 2x/3 and z = x/2 in eq (1),
We get x = 30.

As 1 rice bowl is shared between 2 guests,
Therefore, there are 60 guests.