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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)

88
75
54
64

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

64

Number System
450% of a number is 4725. What is 82% of that number ?

841
871
861
851

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 450/100 = 4725= x = 4725 x 100/450 = 1050∴ 82% of 1050 = 1050 x 82/100= 861

Number System
A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

6353
6373
6383
6363

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4  = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80  ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383

Number System
The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number.

50
25
12.5
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ x + y = 12    ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75

Number System
20% of the total number of students in a school play football. How many students do not play football if the total number of students in the school is 7600 ?

6000
5800
5976
6080

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

20% of 7600 = 1520Therefore, students who do not play football = 7600 - 1520 = 6080

Number System
What is the sum of all the numbers between 300 and 1000 which are divisible by 179?

2506
2607
2527
2517

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

358/179 ….. 895/179179(2 + 3 + 4 + 5) => 2506

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