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Number System

Number System
If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ?

48
47
50
49

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48

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

1300
1240
1260
1280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Number of ways = 7!/2!2! = 1260(∵ L and E come twice)

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, 7
10, 5
11, 6
12, 9

ANSWER DOWNLOAD EXAMIANS APP

Number System
Subtracting 30 from a number, the remainder is one fourth of the number. Find the number?

40
45
30
22 1/2

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

3/4 x = 30 => x = 40

Number System
The difference between two integers is 5. Their product is 500. Find the numbers.

20, 25
30, 25
21, 26
15, 20

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.

Number System
Find the least value of 3x + 4y if x2y3 = 6.

10
6
3
7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

10

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