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Number System

Number System
What will be the next number in the following number series ?

177
191
182
162

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1² + 1, 3² + 3, 5² + 5, 7² + 7

Number System
The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

5
11
3
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7

Number System
384×12×2=?

9216
7487
8465
6123

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

9216

Number System
The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ?

4098
2871
1456
3016

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016

Number System
What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ?

4545
7878
3434
5656

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545

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 ?

6
7
8
9

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

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