Quantitative Aptitude Practice Question and Answer
8Q: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red. 1923 05b5cc7d0e4d2b4197775121d
5b5cc7d0e4d2b4197775121d- 123/42false
- 219/42true
- 37/32false
- 416/39false
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Answer : 2. "19/42"
Explanation :
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
Q: 45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ? 1921 05b5cc6dae4d2b4197774e8c8
5b5cc6dae4d2b4197774e8c8- 136true
- 261false
- 348false
- 454false
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Answer : 1. "36"
Explanation :
Answer: A) 36 Explanation: (45 x 9)/40 = (M x 7)/56 => M = 81 => 81 – 45 = 36
Q: A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water? 1920 05b5cc6afe4d2b4197774d1e7
5b5cc6afe4d2b4197774d1e7- 11 : 3true
- 23 : 2false
- 32 : 3false
- 43 : 1false
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Answer : 1. "1 : 3"
Explanation :
Answer: A) 1 : 3 Explanation: Let the speed of the boat in still water is 'w' Speed of the current is 'c' Let the distance between two places is 'd' According to the question, motorboat takes half time to cover a certain distance downstream than upstream. dw+c = 12dw-c => 2w - 2c = w + c => w = 3c => c : w = 1 : 3 Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3
Q: Find the next number in the given number series? 11, 5.5, 10, 6.5, 9, ? 1919 05b5cc61ee4d2b4197774b753
5b5cc61ee4d2b4197774b753- 16.5false
- 27.5true
- 38.5false
- 410.5false
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Answer : 2. "7.5"
Explanation :
Answer: B) 7.5 Explanation: The given number series follows a pattern that 11 11 - 5.5 = 5.5 5.5 + 4.5 = 10 10 - 3.5 = 6.5 6.5 + 2.5 = 9 9 - 1.5 = 7.5 Hence, the next number in the given number series is 7.5.
Q: On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ? 1914 05b5cc761e4d2b4197774fd3f
5b5cc761e4d2b4197774fd3f- 1Rs. 5422false
- 2Rs. 10,500true
- 3Rs. 12,800false
- 4Rs. 15,000false
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Answer : 2. "Rs. 10,500"
Explanation :
Answer: B) Rs. 10,500 Explanation: The ratio of distribution should be: 21 x 15 : 15 x 35 : 35 x 21= 315 : 525 : 735 = 3 : 5 : 7The smallest share will be of worth: 3/15 x 52,500 = Rs. 10,500
Q: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ? 1911 05b5cc6e7e4d2b4197774ed9c
5b5cc6e7e4d2b4197774ed9c- 1Rs. 8840false
- 2Rs. 8800false
- 3Rs. 8810false
- 4Nonetrue
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Answer : 4. "None"
Explanation :
Answer: D) None Explanation: Amount = 80001+51002 = 8000 x 21/20 x 21/20 = Rs. 8820
Q: What are the Multiples of 6 and the Common Multiples of 4 and 6? 1910 05b5cc6b1e4d2b4197774d303
5b5cc6b1e4d2b4197774d303- 112, 34, 42false
- 212, 18, 36,true
- 36, 4, 14false
- 44, 8, 16false
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Answer : 2. "12, 18, 36,"
Explanation :
Answer: B) 12, 18, 36, Explanation: The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60. The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.
Q: 1, 2, 8, 33, ? Find the next number in the given series? 1910 05b5cc6bae4d2b4197774d7e4
5b5cc6bae4d2b4197774d7e4- 1148true
- 2145false
- 3143false
- 4141false
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Answer : 1. "148"
Explanation :
Answer: A) 148 Explanation: 1 x 1 + 1 x 1 = (1 + 1) = 2 2 x 2 + 2 x 2 = (4 + 4) = 8 8 x 3 + 3 x 3 = (24 + 9) = 33 33 x 4 + 4 x 4 = (132 + 16) = 148 148 x 5 + 5 x 5 = (740 + 25) = 765.