# Numbers Aptitude Test Paper 2

6) Which of the following numbers is divisible by 9?

1. 67578
2. 56785
3. 45678
4. 65889

A number is divisible by 9 if the sum of its digits is divisible by 9.

Sum of the digits of the given numbers are;

6+7+5+7+8= 33

5+6+7+8+5= 31

4+5+6+7+8= 30

6+5+8+8+9= 36

The sum of the digits of the number 65889 is 36 which is divisible by 9, so the correct answer is 65889.

7) If (2p + 1) is a prime number, which one of the following digits could be the value of p?

1. 3
2. 4
3. 5
4. 6

In such questions, each alternative should be tried.

So, if P = 3, we will get; 8 + 1= 9

If P = 4, we will get; 16 + 1 = 17

If P = 5, we will get; 32 + 1 = 33

If P= 6, we will get; 64 + 1= 65

Out of the four results, only 17 is the prime number. So, the required value of the P is 4.

8) Find the number of three-digit numbers which are divisible by 6.

1. 150
2. 130
3. 120
4. 110

The required three digit numbers would be 102, 108, 114, 120...990 and 996.

The sequence of numbers shows that it is an arithmetic progression, where 'a' = 102, 'd' = 6 and last number = 996

Let the number of terms = n 9) What is the sum of first 35 natural numbers?

1. 610
2. 630
3. 645
4. 660

First 35 natural numbers are 1, 2, 3, 4, 5.....35 10) Given that 1+2+3+.. +9 = 45, find the value of (11+12+13+..+19).

1. 125
2. 130
3. 135
4. 140

11+12+13+...+19 is an arithmetic progression with number of terms 'n' = 9, first term = 11 and last term = 19.

Apply formula; Sn = n/2 (first term + last term)

∴Required value or sum = 9/2 ( 11 + 19)

= 4.5 * 30 = 135   