Quantitative Aptitude Practice Question and Answer
8Q: A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady? 1603 05b5cc7d1e4d2b41977751286
5b5cc7d1e4d2b41977751286- 1123false
- 2113false
- 3246true
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Answer : 3. "246"
Explanation :
Answer: C) 246 Explanation: A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking. (i) 1 lady out of 4 and 4 gentlemen out of 6 (ii) 2 ladies out of 4 and 3 gentlemen out of 6 (iii) 3 ladies out of 4 and 2 gentlemen out of 6 (iv) 4 ladies out of 4 and 1 gentlemen out of 6 In case I the number of ways = C14×C46 = 4 x 15 = 60 In case II the number of ways = C24×C36 = 6 x 20 = 120 In case III the number of ways = C34×C26 = 4 x 15 = 60 In case IV the number of ways = C44×C16 = 1 x 6 = 6 Hence, the required number of ways = 60 + 120 + 60 + 6 = 246
Q: If the labour cost 20% of the cost of production and raw material cost 10% of the cost of production and the price on which article is sold is 20% above the cost of production. If the price of labour is increased by 40% and the price of raw material increased by 20% and rest other expenditure of cost remain constant. The industry thus decide to increase the selling price by 10%. Find the new profit percent ? 1602 05b5cc6c7e4d2b4197774de78
5b5cc6c7e4d2b4197774de78- 118%false
- 220%true
- 322%false
- 424%false
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Answer : 2. "20%"
Explanation :
Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%
Q: What should be the maximum value of B in the following equation?8A9 – 6B2 + 4C6 = 723 1601 05b5cc77fe4d2b419777501b0
5b5cc77fe4d2b419777501b0- 14false
- 21false
- 35false
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Answer : 4. "7"
Explanation :
Answer: D) 7 Explanation: 1 1 8 A 9 + 4 C 6 - 6 B 2 7 2 3 We may represent the given sum, as shown below:1 + A + C - B = 12 A + C - B = 11 Now,giving the maximum values to A and C, i.e.A = 9 and C = 9, we get B = 7.
Q: With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey? 1601 05b5cc662e4d2b4197774be9c
5b5cc662e4d2b4197774be9c- 170 kmstrue
- 260 kmsfalse
- 345 kmsfalse
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Answer : 1. "70 kms"
Explanation :
Answer: A) 70 kms Explanation: Let the time taken by train be 't' hrs. Then, 40t = 35t + 1560 40t = 35t + 35/4 t = 7/4 hrs Therefore, Required length of the total journey d = s x t = 40 x 7/4 = 70 kms.
Q: In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ? 1600 05b5cc72ce4d2b4197774f75a
5b5cc72ce4d2b4197774f75a- 1625false
- 2525true
- 3425false
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Answer : 2. "525"
Explanation :
Answer: B) 525 Explanation: Given 40% minimum passing marks for boys = 483 + 117 = 600=> 1% = 600/40 => 100% = 600 x 100/40 = 1500Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.
Q: What percent of a day is 3 hours? 1598 05b5cc69ae4d2b4197774c778
5b5cc69ae4d2b4197774c778- 114.9%false
- 212.5%true
- 315.6%%false
- 411.4%false
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Answer : 2. "12.5%"
Explanation :
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.
Q: Find the odd one in the given series ? 5-20-25, 10-40-50, 4-15-24, 25-100-125 1595 05b5cc6dde4d2b4197774e9ec
5b5cc6dde4d2b4197774e9ec- 14-15-24true
- 25-20-25false
- 310-40-50false
- 425-100-125false
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Answer : 1. "4-15-24"
Explanation :
Answer: A) 4-15-24 Explanation: In each term second two numbers are multiples of the first number. But in 4-15-24 15 is not multiple of 4.
Q: Salaries of Karthik, Arun and Akhil were in the ratio 4 : 5 : 6 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of the salaries of Akhil, Arun and Karthik ? 1595 05b5cc761e4d2b4197774fd2a
5b5cc761e4d2b4197774fd2a- 16 : 8 : 9false
- 28 : 6 : 9false
- 39 : 8 : 6true
- 46 : 5 : 4false
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Answer : 3. "9 : 8 : 6"
Explanation :
Answer: C) 9 : 8 : 6 Explanation: Given the salaries are in the ratio of 4 : 5 : 6 Now the salaries are increased by 50%, 60% and 50% respectively The New ratio of salaries will be 4 x (150/100) : 5 x (160/100) : 6 x (150/100) = 6 : 8 : 9 The new ratio of salaries of Akhil, Arun and Karthik is 9 : 8 : 6