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Number System

Number System
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

3.5
8
6
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8

Number System
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

13
11
12
10

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.

Number System
In how many different ways can the letters of the word TEST' be arranged ?

10
12
8
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12

Number System
Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ?

9
8
6
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9

Number System
56.21 +2.36+5.41 —21.4+1.5=?

54.08
44.08
64.08
34.08

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

44.08

Number System
The population of a town increases by 15% in the first year and decreases by 25% in the second year. If its current population is 168480 then what will be its population after two years ?

145714
145314
145914
145214

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Population of the town= 168480 x 115/100 x 75/100= 145314

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