Numerical Aptitude
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These numerical aptitude tests will let you practice on numbers.
How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Answer & Explanation:
Answer: Option B
Explanation: Marking (/) those which are are divisible by 3 by not by 9 and the others by (X), by taking the sum of digits, we get:s
2133 9 (X)
2343 12 (/)
3474 18 (X)
4131 9 (X)
5286 21 (/)
5340 12 (/)
6336 18 (X)
7347 21 (/)
8115 15 (/)
9276 24 (/)
Required number of numbers = 6.
How many 3 digit numbers are divisible by 6 in all ?
Answer & Explanation:
Answer: Option B
Explanation: Required numbers are 102, 108, 114, ... , 996
This is an A.P. in which a = 102, d = 6 and l = 996
Let the number of terms be n.
Then, a + (n - 1)d = 996
102 + (n - 1) x 6 = 996
6 x (n - 1) = 894
(n - 1) = 149
n = 150.
A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
Answer & Explanation:
Answer: Option A
Explanation:
4 a 3 |
9 8 4 } ==> a + 8 = b ==> b - a = 8
13 b 7 |
Also, 13 b7 is divisible by 11 (7 + 3) - (b + 1) = (9 - b)
(9 - b) = 0
b = 9
(b = 9 and a = 1) (a + b) = 10.
8597 - ? = 7429 - 4358
Answer & Explanation:
Answer: Option C
Explanation:
7429-4358=3071
Let 8597 - x = 3071
Then, x = 8597 - 3071 = 5526
The smallest prime number is:
Answer & Explanation:
Answer: Option B
Explanation: The smallest prime number is 2.
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