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Number System

Number System
Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number?

65
78
34
23

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

65

Number System
If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?

124
179
163
146

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x²   = 15376Therefore, x² = 15376                    x = 124

Number System
If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ?

7/5
3/5
1/5
8/5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175        = 8/5

Number System
The sum of the present age of a father and a son is 60 years. Five years before, the age of the father was four times that of son. What is the present age of the son ?

18 years
21 years
15 years
25 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the father's age be x and son's age yTherefore, x + y = 60   ....................(i)Five years back, (x - 5) = 4 (y - 5)x - 4y = - 15 ......................(2)Solving (1) and (2), x = 45 and y = 15

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

Rs. 830
Rs. 800
Rs. 820
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
74698 + 365 + 85213 + 95 = ?

160341
160361
160351
160371

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 74698 + 365 + 85213 + 95 = 160371

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