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Number System

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

2520
2504
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 difference between a number and its three fifths is 62, what is the number ?

145
175
165
155

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155

Number System
What is the sum of all the prime numbers from 20 to 40?

118
120
119
117

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

23 + 29 + 31 + 37 = 120

Number System
If the sum of four consecutive numbers is 370, which the following is the third lowest number among them

89
92
91
90

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92

Number System
0.333 .... × 0.444 .... is equal to

0.148148148 ....
0.777 ....
1.333 ....
0.121212 ....

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

0.148148148 ....

Number System
The sum of the present age of a father and a son is 60 years. Five years before, the age of the father was four times that of son. What is the present age of the son ?

18 years
15 years
25 years
21 years

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the father's age be x and son's age yTherefore, x + y = 60   ....................(i)Five years back, (x - 5) = 4 (y - 5)x - 4y = - 15 ......................(2)Solving (1) and (2), x = 45 and y = 15

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