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Number System

Number System
If the difference between a number and its 2/5 is 240, find the number.

440
400
360
480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x Therefore x - 2x/5 = 240,        Therefore, 3x/5 = 240Therefore, x = 240x5/3 = 400

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

1240
1280
1300
1260

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ?

Rs. 800
Rs. 810
Rs. 830
Rs. 820

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29  + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810

Number System
If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series?

9/13
8/13
7/13
6/13

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13

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

None of these
3326400
2326400
1326400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

CORPORATION = 11 letters 'O' comes thrice,'R' twice.∴ total no. of ways = 111/3121 = 3326400

Number System
If one-third of one fourth of a number is 15, then three-tenth of that number is:

35
25
45
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.

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