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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
77
76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The product of two consecutive odd numbers is 6723. Find is the greater number.

85
80
83
77

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83

Number System
The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number

724
636
673
845

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100  = 636

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
25
50
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

54
None of these
36
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

Number System
1089/? = ?/1296

1348
1082
1188
1278

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188

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