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Number System

Number System
A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?

60
8
12
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12

Number System
36% of 850+? % of 592 = 750

50
25
12.5
75

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

75

Number System
{(742)² ÷ 36} ÷ 2 = ?

422.5
420.5
423.5
421.5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (174 x 174/36) ÷ 2 = 841/2 = 420.5

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

120
112
124
116

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

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

9125
9565
None of these
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
What is the least number to be subtracted from 696 to make it a perfect square?

71
1
16
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The numbers less than 696 and are squares of certain numbers are 676, 625.The least number that should be subtracted from 696 to make it perfect square = 696 - 676 = 20.

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