Answer: A) Vacuum Explanation: A Sound wave needs a medium for propogation. Hence, Sound cannot travel through a vacuum. A vacuum is an area without any air, like space. So sound cannot travel through space because there is no matter for the vibrations to work in.

Answer: A) 3, 3, 8 Explanation: Let’s break it down. The product of their ages is 72. So what are the possible choices?   2, 2, 18 – sum(2, 2, 18) = 222, 4, 9 – sum(2, 4, 9) = 152, 6, 6 – sum(2, 6, 6) = 142, 3, 12 – sum(2, 3, 12) = 173, 4, 6 – sum(3, 4, 6) = 133, 3, 8 – sum(3, 3, 8 ) = 141, 8, 9 – sum(1,8,9) = 181, 3, 24 – sum(1, 3, 24) = 281, 4, 18 – sum(1, 4, 18) = 231, 2, 36 – sum(1, 2, 36) = 391, 6, 12 – sum(1, 6, 12) = 19   The sum of their ages is the same as your birth date. That could be anything from 1 to 31 but the fact that Jack was unable to find out the ages, it means there are two or more combinations with the same sum. From the choices above, only two of them are possible now.   2, 6, 6 – sum(2, 6, 6) = 143, 3, 8 – sum(3, 3, 8 ) = 14   Since the eldest kid is taking piano lessons, we can eliminate combination 1 since there are two eldest ones. The answer is 3, 3 and 8.

Answer: A) 10000 and 15000 Explanation: As both A and B invest the same amounts, the ratio of their profits at the end of the year is equal to the ratio of the time periods for which they have invested.   Thus, the required ratio of their profits = A : B = 8 : 12 = 2 : 3.   Hence, share of A in the total profit = 2 x 25000/5 = Rs.10000   Similarly, share of B in the total profit = 3 x 25000/5 = Rs.15000

Answer: A) 21 Explanation: The given number series follows a pattern that, 19 + 12 = 20 (not 21)20 + 22 = 2424 + 32 = 3333 + 42 = 4949 + 52 = 74    Hence, the odd number in the given number series is 21.

Answer: C) 180º Explanation: Angle traced by the hour hand in 6 hours =360o12×6 = 180o.

Answer: B) 23 1/3% Explanation: y=100 x=130 130---------30100---------? => 23 1/3%

Answer: A) 19 Explanation: Initialy from left 7th = kumarfrom right 9th = pawanInterchange kumar = 11th from left, from right kumar = 9th;11+8 = 19;8 is 1,2,3,4,5,6,7(pawan),8,9,10,11(kumar),12,13,14,15,16,17,18,19;simply count the 9th place from right we will get total as 19.

Answer: B) 10 Explanation: 175760 =2³ x 2 x 5 x 13³= 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10