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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?

78
23
34
65

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 ?

146
179
163
124

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
The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ?

3289
2476
1760
4589

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A + B + C + D + E/5 = 42∴ C = 42,   ∴ B = 40,  ∴ D = 44∴ B x D = 40 x 44 = 1760

Number System
What is the least number to be subtracted from 696 to make it a perfect square?

71
16
1
20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The numbers less than 696 and are squares of certain numbers are 676, 625.The least number that should be subtracted from 696 to make it perfect square = 696 - 676 = 20.

Number System
Which one of the following represents the sum of the first n even numbers?

N(N + 1)
N2
N2+ 1
N(N – 1)

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

N (N + 1)

Number System
If x + y = 61 and xy = 888, What is the value of x²+ y² ?

1965
1945
1975
1955

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Because (x + y)²  = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945

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