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Number System

Number System
What should come in place of the question mark (?) in the following number series ? 888 888 444 148 ? 7.4

37
29
35
33

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

888 ÷ 1 = 888888 ÷ 2 = 444444 ÷ 3 = 148148 ÷ 4 = 3737 ÷ 5 = 7.4

Number System
The product of two consecutive position odd numbers is 6723. What is the smaller number?

71
74
83
79

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83

Number System
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

7
4
5
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

Number System
The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ?

4
1
3
2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4

Number System
The sum of two numbers is 25 and their difference is 13. Find their product.

325
104
114
315

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114

Number System
The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ?

1468
1327
1292
1168

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34,                             E = 38Therefore, Product = 34 x 38 = 1292

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