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Number System

Number System
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?

0
11
7
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

39 + 20 = 59/13 = 7 (Remainder)

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

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

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
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

25/144
12/5
5/12
144/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

5/4
3/5
3/10
4/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

Number System
{3√4913}² = ?

121
225
289
333

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (3√4913)² = (17)² = 289

Number System
3251 + 587 + 369 - ? = 3007

1200
1375
1300
1250

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 4207 - x = 3007 Then, x = 4207 - 3007 = 1200

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