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Number System

Number System
4/6 of 6/5 of 5/7 of a number is 96. Find the number.

170
168
164
162

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

Number System
2536+4851—?=3450+313

6784
4567
5243
3624

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3624

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
15 years
25 years
21 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
In how many different ways can the letters of word "COLLEGE" be arranged ?

1280
1260
1300
1240

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

Number System
(√6 + 1)² = ? + 2√6

7
5
8
6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7

Number System
What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?

None of these
90
110
100

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.

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