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Number System

Number System
On converting the following base-2 numeral in base ten, 1101101, we get

108
106
107
109

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

109

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. 810
Rs. 800

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 one-seventh of a number is 55 then 40% of that number = ?

147
154
163
171

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be x ,             Therefore, x/7 = 55Therefore, x = 55 x 7 = 385Therefore, 49% of 385 = 154

Number System
Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number?

N2
N(N + 1)/2
N(N + 1)
N2 + 1

ANSWER DOWNLOAD EXAMIANS APP

Number System
Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?

40
22 1/2
45
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 x = 30 => x = 40

Number System
The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ?

1680
1480
1780
1580

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40                                 s =  x + 6 = 42Therefore, Product = 1680

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