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Number System

Number System
Four-fifth of a number is 10 more than two-third of the same number. What is the number?

35
91
89
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?

61
75
65
67

ANSWER DOWNLOAD EXAMIANS APP

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
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

44
46
47
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

Number System
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is:

160
12
28
180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.

Number System
If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.

125
30
50
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.

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