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Number System

Number System
Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.

12
16
18
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.

Number System
What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ?

4545
5656
7878
3434

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545

Number System
The Twenty-First Century will start on January 1 in the year

2000
2100
2001
2101

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2001

Number System
An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white ?

92/190
91/190
89/190
90/190

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total possible outcomes = 20C2 = 20 x 19/1 x 2 = 190Total favourable outcomes = 7C1 x 13C1 = 7 x 13 = 91∴ Required probability = 91/190

Number System
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

3
9
5
11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.

Number System
What is the least number to be subtracted from 696 to make it a perfect square?

20
16
71
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The numbers less than 696 and are squares of certain numbers are 676, 625.The least number that should be subtracted from 696 to make it perfect square = 696 - 676 = 20.

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