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Number System

Number System
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?

9
3
7
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x/2 – x/3 = 6=> x =63 + 6 = 9

Number System
17580 x 1.8 - 13720 x 2.1 = ? x 2.4

1160
1120
1140
1180

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2.4 x ? = 31644 - 28812 = 2832∴ ? = 2832/2.4= 1180

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

124
120
116
112

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.

9974
9125
9565
None of these

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
50% of 8/15 of 9/4 of 5/3 of 333 = ?

555
666
444
333

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

50% of [8x9x5/15x4x3 x 333]= 50% of 666= 333

Number System
2/11 of 3/7 of 8/13 of 12012 = ?

576
321
449
241

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 2 x 3 x 8 x 12012/11 x 7 x 13 = 576

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