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Number System

Number System
If the difference between a number and its three-fourth is 18, find the number.

57
68
61
72

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.According to the question,x - 3x/4 = 18= x/4 = 18= x = 4 x 18 = 72

Number System
3√103820 x 3√274620 = ?

3065
3035
3045
3055

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055

Number System
5525 ÷ 17 = √?

99225
105625
93025
112225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√? = 5525/17 = 325∴ ? = (325)² = 105625

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

289/290
290/289
1/289
289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?

2/5
1/25
1/5
Data inadequate

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5

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?

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

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.

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