Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2367 2678 2520 2410 2367 2678 2520 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 If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 17 11 15 13 17 11 15 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
Number System If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third? 2/9 4/11 3/10 1/16 2/9 4/11 3/10 1/16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 141 188 162 245 141 188 162 245 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System In a 150-litre mixture of milk and water, the percentage of milk is 84%. How much water should be added so that the percentage of milk becomes 52.5% ? 85 litre 90 litre 80 litre 95 litre 85 litre 90 litre 80 litre 95 litre ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In 150 litre, milk is 84%ie 150 x 84/100 = 126 litre Let us add x litres of waterTherefore, the quantity of mixture = 150 + x∴ 52.5% of (150 + x) = 126 litres 150 + x = 126x100/52.5 = 240 litres∴ x = 240 - 150 = 90 litres
Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1260 1300 1280 1240 1260 1300 1280 1240 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
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