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Number System

Number System
What is the least number, which is perfect square but contains 2700 as its factor?

2700
1800
5400
10800

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

900 * 3 * 3 = 8100

Number System
When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ?

44
45
46
47

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46

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
Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?

N(N + 1)
N(N + 1)/2
N2
N2 + 1

ANSWER DOWNLOAD EXAMIANS APP

Number System
Which one of the following numbers is exactly divisible by 11?

315624
235641
245642
415624

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.

Number System
If the difference between the squares of two consecutive numbers is 47, what is the smaller number ?

23
24
26
25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23

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