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Number System

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

52
36
56
48

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

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

90
91
92
89

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
The population of a town increases by 15% in the first year and decreases by 25% in the second year. If its current population is 168480 then what will be its population after two years ?

145914
145214
145714
145314

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Population of the town= 168480 x 115/100 x 75/100= 145314

Number System
In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A?

1/5
2/5
1/25
Data inadequate

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5

Number System
84 * 29 + 365 = ?

- 2071
- 2801
2436
2801

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

- 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071

Number System
The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ?

39
38
40
37

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40

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