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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
88
54
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

5
6
7
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

Number System
In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is

640
775
725
750

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Failed students are 32% which is 248.∴ Total = 24800/32 = 775

Number System
Which choice provides the answer in the following : If 2 * 3 = 36, 5 * 4 = 400, 6 * 2 = 144, 3 * 3 = 81; then, 5 * 5 = ?

425
325
625
525

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

625

Number System
If the difference between a number and its 2/5 is 240, find the number.

360
440
480
400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

Number System
The sum of the present age of a father and a son is 60 years. Five years before, the age of the father was four times that of son. What is the present age of the son ?

21 years
15 years
18 years
25 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the father's age be x and son's age yTherefore, x + y = 60   ....................(i)Five years back, (x - 5) = 4 (y - 5)x - 4y = - 15 ......................(2)Solving (1) and (2), x = 45 and y = 15

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