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Number System

Number System
3√68921 = ?

21
31
41
51

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 3√68921= 3√41 x 41 x 41= 41

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

40
37
38
39

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

290/289
289
1/289
289/290

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
A bag contains eighteen 25-paise coins, seventeen 50-paise coins, twentytwo one-rupee coins, nine 2-rupee coins and three 5-rupee coins. What is the total amount in the bag (Ans in rupees) ?

Rs. 68
Rs. 62
Rs. 79
Rs. 74

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Total = 18/7 + 17/2 + 22 + 9 x 2 + 3 x 5         = 4.5 + 8.5 + 22 + 18 + 15         = Rs 68

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
25 years
21 years
15 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
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

164
162
168
170

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

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