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Number System

Number System
What is the value of ? in the following equations ? 72/? = ?/50

40
60
80
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60

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?

Data inadequate
1/5
2/5
1/25

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
When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?

97
103
99
101

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.

Number System
Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24.

None of these
9125
9565
9974

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.

Number System
In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is

775
640
725
750

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Failed students are 32% which is 248.∴ Total = 24800/32 = 775

Number System
If one-seventh of a number is 55 then 40% of that number = ?

154
171
163
147

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x ,             Therefore, x/7 = 55Therefore, x = 55 x 7 = 385Therefore, 49% of 385 = 154

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