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Number System

Number System
5525 ÷ 17 = √?

93025
112225
105625
99225

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√? = 5525/17 = 325∴ ? = (325)² = 105625

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

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

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
What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ?

84
87
81
94

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 10, 15, 25 = 150When we drive 2641 by 150 the remainder is 91.But the remainder should be 7.So, the number to be subtracted from 2641 is 91 - 7 = 84.

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

116
120
124
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

Number System
What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?

2345
2105
5243
2435

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

2000 + 300 + 40 + 5 = 2345

Number System
Sum of the digits number is 8 and their product is 12. Find the difference between the digits?

4
2
6
None

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4

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