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Number System

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

2504
2520
2510
2508

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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 ?

4589
1760
2476
3289

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
How many numbers between 300 and 800 can be by using digits 2, 4, 5, 6 and 0 ?

56
36
52
48

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

∴ Reqd . numbers = 3 x 4P2 = 3 x 12 = 36

Number System
Complete the series : 1, 8, 27, 64, 125, 216 .....

373
363
343
353

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

343

Number System
A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?

9
6
8
10

ANSWER DOWNLOAD EXAMIANS APP

Number System
If a + b = 16 and ab = 68, what is the value of a² + b² ?

120
116
124
112

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a + b = 16 Therefore, (a+b)² = (16)² = 256                    a² + b² + 2ab = 256Therefore,        a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120

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