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Number System

Number System
In how many different ways can the letters of word "COLLEGE" be arranged ?

1240
1300
1260
1280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1945
1975
1955
1965

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

Number System
What is the difference between the local values of 3 in the number 53403?

0
3030
2997
3003

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3000 – 3 = 2997

Number System
If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ?

12/25
13/25
3/5
6/7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25

Number System
8988 / 8 / 4 = ?

4494
561.75
2247
280.875

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

8988 * 1/8 * 1/4 = 2247/8 = 280.875

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

362880
372880
382880
392880

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

MORE MCQ ON Number System

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