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Number System

Number System
What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ?

75
78
76
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is: +9, +11, +13, +15, +17

Number System
Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?

30
22 1/2
40
45

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 x = 30 => x = 40

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

44
47
45
46

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?

43983
43883
43893
70983

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

74330 Largest30347 Smallest-------------43983

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
12.5
75
25

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
If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ?

840
720
780
660

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660

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