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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
125
50
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is:

47719
47619
48619
47649

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619     333333----------------        0

Number System
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

168
164
162
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

Number System
3√68921 = ?

51
31
21
41

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√68921= 3√41 x 41 x 41= 41

Number System
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

18
42
24
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.

Number System
6.4 x 8.5 x 25/3.2 x 12.5 = ?

4.5
2.3
3.4
5.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 6.4 x 8.5 x 2.5/3.2 x 12.5 = 3.4

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