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Number System

Number System
If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ?

84
83
81
82

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x² - (17*17*17)  = 2143or x² = 2143 + 4913 = 7056∴ x = 84

Number System
The product of two consecutive odd numbers is 4095 What is the greater number ?

65
61
69
74

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65

Number System
(444 x 44 x 4) ÷ 40 ?

2053.6
1853.6
1953.6
2153.6

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 444 x 44 x 4/40 = 1953.6

Number System
What is the remainder when 263251 is divided by 9?

3
1
6
8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.2 + 6 + 3 + 2 + 5 + 1 = 19The nearest multiple of 9 is 18.19 - 18 = 1.

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

2520
2504
2508
2510

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520

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?

34
78
23
65

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

65

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