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Number System

Number System
Which choice provides the answer in the following : If 2 * 3 = 36, 5 * 4 = 400, 6 * 2 = 144, 3 * 3 = 81; then, 5 * 5 = ?

425
325
525
625

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

625

Number System
If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

68
64
66
62

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

Number System
Write the next number in the series : 14, 16, 13, 17, 12, 18, 11 ....

19
15
7
1

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

19

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

9974
9125
None of these
9565

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
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

47
49
50
48

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

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

116
124
120
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

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