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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
If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers.

50
125
25
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.

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

382880
372880
362880
392880

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of letters = 9!                       = 9*8*7*6*5*4*3*2*1                       = 362880

Number System
√2304 x √? = 2832

3481
3581
3381
3681

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

√2304 x √? = 2832= 48 x √? = 2832= √? = 2832/48 = 59∴? = 59 x 59 = 3481

Number System
What is the difference between the local value of 7 and 5 in the number 2574?

430
413
403
570

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

500 – 70 = 430

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

124
112
116
120

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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