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Number System

Number System
What will be the next number in the following number series ?

177
191
182
162

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1² + 1, 3² + 3, 5² + 5, 7² + 7

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

2520
2410
2678
2367

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520

Number System
Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers?

12, 9
10, 5
12, 7
11, 6

ANSWER DOWNLOAD EXAMIANS APP

Number System
When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?

101
99
97
103

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.

Number System
The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ?

54
14
None of these
36

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54

Number System
If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ?

64
66
68
62

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14            .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.

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