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Number System

Number System
Two third of three- fifth of one fourth of a number is 24, what is 30% of that number?

90
69
42
72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 2/3 * 3/5 * 1/4 = 24x = 240240 * 30/100 = 72

Number System
7.8 x 4.5 x 4.2/0.14 = ?

1087
1053
1012
1032

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7.8 x 4.5 x 4.2/0.14 = 1053

Number System
In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ?

28
24
22
18

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28

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 ?

720
660
840
780

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

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 four consecutive even numbers is 36. Find the sum of the squares of these numbers?

252
388
296
344

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.

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