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Number System

Number System
What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361

225
121
11
321

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The series is (Prime No.)²So it is (11)² = 121

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

63480
62480
61480
60480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

No. of arrangements = 9! / 3! Because, E comes 3 times = 60480

Number System
480% of 350 + 620% of 275 = ?

2385
3385
4385
5385

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

? = 480 x 350/100 + 620 x 275/100= 1680 + 1705 = 3385

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
4/9
3/9
6/9

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

Number System
The product of two successive numbers is 4556. Which of the following is the larger of the two numbers?

78
67
68
63

ANSWER DOWNLOAD EXAMIANS APP

Number System
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

3/5
4/5
3/10
5/4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5

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