Number System If the fractions8/5,7/2,9/5,5/4,4/5 are arranged in descending order of their values, which one will be fourth? 7/9 1/3 11/13 5/4 7/9 1/3 11/13 5/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5/4
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 ? 80/153 80/151 80/152 80/150 80/153 80/151 80/152 80/150 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 Sum of the digits number is 8 and their product is 12. Find the difference between the digits? None 2 4 6 None 2 4 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 3/10 5/4 3/5 4/5 3/10 5/4 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System 3√68921 = ? 41 51 31 21 41 51 31 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 3√68921= 3√41 x 41 x 41= 41
Number System A plot of 650 sq ft is available at the rate of Rs 6500 per sq ft. If 13% of the total cost of the plot is to be paid for booking the plot, what is the booking amount, (in Rs) ? Rs. 536250 Rs. 549250 Rs. 507250 Rs. 519850 Rs. 536250 Rs. 549250 Rs. 507250 Rs. 519850 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total cost of plot= 650 x 6500 = 4225000Booking amount = 13% of (4225000) = 4225000 x 13/100 = 549250
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