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Number System

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)
N2 + 1
N2
N(N + 1)/2

ANSWER DOWNLOAD EXAMIANS APP

Number System
What least number shall be added to 4700 to make it a perfect square ?

71
61
91
81

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

(69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.

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

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

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
In how many different ways can the letters of the word FORMULATE be arranged ?

392880
362880
372880
382880

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of letters = 9!                       = 9*8*7*6*5*4*3*2*1                       = 362880

Number System
Find the average of the following set of scores 450, 1050, 12, 390, 143, 286, 550, 999

495
480
485
490

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required average score                    = (450 + 1050 + 12 + 390 + 143 + 286 + 550 + 999) / 8                   = 3880 / 8                   = 485

Number System
Which is the smallest fractions among the following ?

11/13
27/31
13/15
15/19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789

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