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Number System

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

2678
2410
2367
2520

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
What is the difference between the largest number and the least number written with the digits 7, 3, 1, 4?

5084
6084
6048
6184

ANSWER DOWNLOAD EXAMIANS APP

Number System
7589 - ? = 3434

1123
11023
4155
4242

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 7589 - x = 3434Then x = 7589 - 3434 = 4155

Number System
If the difference between a number and two-fifths of that number is 45 what is the number ?

77
78
75
76

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x ∴ x - 2x/5 = 45∴ x = 75

Number System
The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is:

289/290
1/289
290/289
289

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289

Number System
Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers?

170
160
140
150

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.

MORE MCQ ON Number System

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