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Number System

Number System
On dividing number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5?

1
0
4
2

ANSWER DOWNLOAD EXAMIANS APP

Number System
Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ?

Rs. 2000
Rs. 4000
Rs. 3000
Rs. 5000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the amount be x.∴ X x 20/100 x 25/100 x 30/100 = 75∴ X = 75 x 5 x 4 x 10/3  = 5000

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

1260
1300
1240
1280

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?

10
11
9
5

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

221 + 43 = 264/17 = 9 (Remainder)

Number System
A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ?

6363
6373
6353
6383

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x + x + 1 + x + 2 + x + 3 + x + 4  = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80  ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383

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 ?

62
64
68
66

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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