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Number System

Number System
Two-third of a positive number and 25/216 of its reciprocal are equal. The number is:

5/12
25/144
12/5
144/25

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12

Number System
The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root?

8
27
32
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.

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

91
92
89
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
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336

4
7
6
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.

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

3326400
2326400
None of these
1326400

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

CORPORATION = 11 letters 'O' comes thrice,'R' twice.∴ total no. of ways = 111/3121 = 3326400

Number System
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

1/35
7/32
12/35
35/8

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.

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