Answer: B) 8 Explanation: Given for year = 70000 => 365 days = 70000 => 365 x 24 hours = 70000 =>   1 hour = ? 70000/365x24 = 7.990 = 8

Answer: B) 168 Explanation: we can select the 5 member team out of the 8 in 8C5 ways = 56 ways. The captain can be selected from amongst the remaining 3 players in 3 ways. Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways.   (or)   Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways. Now, the captain can be selected from these 6 players in 6 ways. Therefore, total ways the selection can be made is 28x6 = 168 ways.

Answer: D) None Explanation: Amount = 80001+51002   = 8000 x 21/20 x 21/20    = Rs. 8820

Answer: D) 0.375 & 0.1 Explanation: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => 3 x 1258 x 125 = 3751000 = 0.375   1/10 as a Decimal : 1 divided into 10 parts of each 0.1.   Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

Answer: C) 82.5 Explanation: The given series    12   24   26.5   79.5   ?   330 follows a pattern that,   12 x 2 = 24   24 + 2.5 = 26.5   26.5 x 3 = 79.5   79.5 + 3 = 82.5   82.5 x 4 = 330   Hence, the missing number is 82.5

Answer: B) 19/42 Explanation: A red ball can be drawn in two mutually exclusive ways  (i) Selecting bag I and then drawing a red ball from it.   (ii) Selecting bag II and then drawing a red ball from it.   Let E1, E2 and A denote the events defined as follows: E1 = selecting bag I, E2 = selecting bag II A = drawing a red ball Since one of the two bags is selected randomly, therefore  P(E1) = 1/2  and  P(E2) = 1/2 Now, PAE1 = Probability of drawing a red ball when the first bag has been selected = 4/7   PAE2  = Probability of drawing a red ball when the second bag has been selected = 2/6  Using the law of total probability, we have   P(red ball) = P(A) = PE1×PAE1+PE2×PAE2                              = 12×47+12×26=1942

Answer: C) decrease by 4% Explanation: Here, x = 20 and y = - 20Therefore, the net % change in value=x + y + xy100 %= 20 + -20 + 20 × -20100%  or  - 4% Since the sign is negative, there is a decrease in value by 4%.

Answer: B) 12.5% Explanation: Let p% of a day is 3 hrs. We know that a day has 24 hrs. => p x 24/100 = 3 => p = 300/24 => p = 12.5%   Hence, 3 hrs is 12.5% of a day.