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Number System

Number System
If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1)

75
54
64
88

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
Which number should replace question mark (?) in the following equation ? ?/342 = 38/?

118
116
112
114

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

8
5
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?

5243
2435
2345
2105

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2000 + 300 + 40 + 5 = 2345

Number System
(444 x 44 x 4) ÷ 40 ?

2153.6
2053.6
1953.6
1853.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

Number System
In how many different ways can the letters of word "COLLEGE" be arranged ?

1240
1300
1260
1280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

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