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Number System

Number System
Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is

110
85
74
93

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

85

Number System
If a number is subtracted from its square we get 272. Find the number?

22
24
17
14

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

x2 – x = 272 => x =17

Number System
The sum of three consecutive numbers is 87. The greatest among these three number is:

29
28
26
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.

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

61480
63480
60480
62480

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

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

Number System
In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ?

60
56
58
54

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.

Number System
The cost of 87 pens and 29 pencils is `783. What is the cost of 90 pens and 30 pencils ?

Rs. 830
Rs. 820
Rs. 800
Rs. 810

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the price of a pen be 'x' and that of pencil be 'y' Then 87x + 29y = 783Multiplying eqn (i) by 30/29 we get (87x) x 30/29  + (29y) 30/29 = 783 x 30/29∴ 90x + 30y = 810

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