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Number System

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.

30
25
50
125

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

146
163
179
124

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

Number System
(4300731) - ? = 2535618

1865113
1765113
1775123
1675123

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4300731 - x = 2535618Then, x = 4300731 - 2535618 = 1765113

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

35/8
7/32
1/35
12/35

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

Number System
In each of the following numbers, what should be the missing digit in the indicated place such that the number is a multiple of 11?

2
3
5
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Divisibility of 11: If the difference of the sum of the digits at odd places and the sum of the digits at even places of a number is zero or a multiple of 11, then that number is divisible by 11.As per divisibility rule of 11, difference = (x + 21) - 18 = x + 3=> x + 3 = 11 => x = 8

Number System
Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is:

4
6
5
10

ANSWER DOWNLOAD EXAMIANS APP
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