Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 382 343 378 396 382 343 378 396 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 40 80 44 88 40 80 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ? Rs. 4000 Rs. 5000 Rs. 2000 Rs. 3000 Rs. 4000 Rs. 5000 Rs. 2000 Rs. 3000 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 A basket contains eight white and ten black balls. Two draws of one ball each are made without replacement. What is the probability that one ball is white and the other ball is black ? 80/150 80/153 80/152 80/151 80/150 80/153 80/152 80/151 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Two balls can be drawn from 18 balls in 18C2 Ways, ie 153 ways. One white from 8 white balls can be drawn in 8C1 = 8 ways and one black ball from 10 black can be drawn in 10C1 = 10 ways.∴ n(S) = 153, n(E) = 8 x 10 = 80∴ P(E) = 80/153
Number System √2304 x √? = 2832 3581 3681 3381 3481 3581 3681 3381 3481 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √2304 x √? = 2832= 48 x √? = 2832= √? = 2832/48 = 59∴? = 59 x 59 = 3481
Number System In how many different ways can the letters of the word TEST' be arranged ? 10 8 12 16 10 8 12 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
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