Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 1/35 12/35 35/8 7/32 1/35 12/35 35/8 7/32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 13 15 11 17 13 15 11 17 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 A shopkeeper purchased 200 bulbs for Rs. 10 each. However, 5 bulbs were fused and had to be thrown away. The remaining were sold at Rs. 12 each. What will be percentage profit? 21 14 17 33 21 14 17 33 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 12
Number System √9216 + √15376 = ? 220 231 227 224 220 231 227 224 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √9216 + √15376= 96 + 124= 220
Number System If the three fourth of a number is subtracted from the number; the value so, obtained is 163. What is that number ? 652 678 689 692 652 678 689 692 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number x (1 - 3/4) = 163∴ Number = 163 x 4 = 652
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? None of these 14 36 54 None of these 14 36 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
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