Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2678 2367 2410 2520 2678 2367 2410 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System Supply the missing figure : 3, 11, 8, 16, 13 .... 18 28 21 18 12 28 21 18 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 21
Number System A canteen requires 17 dozen of eggs per week. How many eggs will it require from January 1 to February 11 ? 1224 987 820 525 1224 987 820 525 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of days from Jan 1 to Feb 11th= 31 + 11 = 42 days = 6 weeks∴ Total eggs =17 x 12 x 6 = 1224
Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x <= y if x < y if x >= y if x > y if x <= y if x < y if x >= y if x > y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 163 158 160 167 163 158 160 167 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/10 3/5 5/4 4/5 3/10 3/5 5/4 4/5 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
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