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Number System

Number System
What is the sum of 1 + 2 + 3+ ... + 27 ?

396
382
378
343

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378

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

19765
17453
18456
20160

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160

Number System
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

253
370
145
352

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.

Number System
735 chocolates were distributed equally among children in such a way that the number of chocolates received by each child is 60% of the total number of children. How many chocolates did each child rec

18
14
21
16

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the number of children be 'x' Therefore, each child will receiveX x 60/100 = 3x/5 chocolates∴ X x 3x/5 = 735∴ x² x 735x5/3 = 1225∴ x = 1225 = 35∴ Number of chocolates = 3x/5 = 21

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 ?

68
64
62
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.

Number System
83250÷?=74×25

21
45
59
38

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

45

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