Numbers Aptitude Questions & Answers with explanation – Test Paper 2
1) Which of the following numbers is divisible by 9?
- 67578
- 56785
- 45678
- 65889
The Correct answer is (4)
Answer with explanation:
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.
2) If (2p + 1) is a prime number, which one of the following digits could be the value of p?
- 3
- 4
- 5
- 6
The Correct answer is (2)
Answer with explanation:
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.
3) Find the number of three-digit numbers which are divisible by 6.
- 150
- 130
- 120
- 110
The Correct answer is (1)
Answer with explanation:
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
4) What is the sum of first 35 natural numbers?
- 610
- 630
- 645
- 660
The Correct answer is (2)
Answer with explanation:
First 35 natural numbers are 1, 2, 3, 4, 5…..35
5) Given that 1+2+3+.. +9 = 45, find the value of (11+12+13+..+19).
- 125
- 130
- 135
- 140
The Correct answer is (3)
Answer with explanation:
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
Also Check the Test paper 3
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