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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?

5
7
3
9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x/2 – x/3 = 6=> x =63 + 6 = 9

Number System
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

4589
3289
2476
1760

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

Number System
(164 x 175) x ? = 258300

9
11
2
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 258300 / 164 x 175 = 9

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

20, 25
30, 25
15, 20
21, 26

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

Number System
If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ?

95
92
99
103

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801  Therefore, x = 99

Number System
(444 x 44 x 4) ÷ 40 ?

2053.6
2153.6
1853.6
1953.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

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