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Number System

Number System
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

None of these
20
40
30

ANSWER DOWNLOAD EXAMIANS APP

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

372880
362880
392880
382880

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

30
26
29
28

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

Number System
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:

20
15
18
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20

Number System
The difference between a number and its three-fifth is 50. What is the number?

125
75
100
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.

Number System
If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ?

5/9
6/9
3/9
4/9

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9

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