Quantitative Aptitude Practice Question and Answer
8Q: 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 ? 1977 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
Q: Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet? 1975 05b5cc6abe4d2b4197774d067
5b5cc6abe4d2b4197774d067- 1360 kmsfalse
- 2480 kmstrue
- 3520 kmsfalse
- 4240 kmsfalse
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Answer : 2. "480 kms"
Explanation :
Answer: B) 480 kms Explanation: Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms Let the Charminar Express takes 't' hrs to catch Chennai express => 80 x t = 60 x (2 + t) => 80 t = 120 + 60t => t = 6 hrs Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.
Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ? 1973 05b5cc6e2e4d2b4197774ec3e
5b5cc6e2e4d2b4197774ec3e- 12(6!)false
- 26! x 7false
- 36! x ⁷P₆true
- 4Nonefalse
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Answer : 3. "6! x ⁷P₆"
Explanation :
Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆
Q: A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ? 1972 05b5cc723e4d2b4197774f690
5b5cc723e4d2b4197774f690- 1Rs. 345.15true
- 2Rs. 245.1false
- 3Rs. 234.18false
- 4Rs. 456.65false
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Answer : 1. "Rs. 345.15"
Explanation :
Answer: A) Rs. 345.15 Explanation: area of the plot = 120m x 60m = 7200 sq.marea of plot excluding gravel = 117m x 57m = 6669 sq.marea of gravel = 7200 sq.m - 6669 sq.m = 531 sq.mcost of building it = 531 sq.m x 65 ps = 34515 psIn Rs. = 34515/100 = Rs. 345.15.
Q: The Value of logtan10+logtan20+⋯⋯+logtan890 is 1971 15b5cc7d0e4d2b41977751204
5b5cc7d0e4d2b41977751204- 1-1false
- 20true
- 31/2false
- 41false
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Answer : 2. "0"
Explanation :
Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450 = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1 ∵ tan(90-θ)=cotθ and tan 450=1 = log 1 + log 1 +.....+log 1 = 0.
Q: If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ? 1970 05b5cc6d8e4d2b4197774e732
5b5cc6d8e4d2b4197774e732- 11.44 %false
- 22.02 %false
- 31.04 %false
- 42.25 %true
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Answer : 4. "2.25 %"
Explanation :
Answer: D) 2.25 % Explanation: SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car. In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (15)(15)/100 % = 2.25%
Q: A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively? 1968 05b5cc6bce4d2b4197774d88b
5b5cc6bce4d2b4197774d88b- 17:4false
- 211:4false
- 34:7false
- 48:3true
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Answer : 4. "8:3"
Explanation :
Answer: D) 8:3 Explanation: Let the speed of the boat upstream be p kmph and that of downstream be q kmph Time for upstream = 8 hrs 48 min = 845hrs Time for downstream = 4 hrs Distance in both the cases is same. => p x 845= q x 4 => 44p/5 = 4q => q = 11p/5 Now, the required ratio of Speed of boat : Speed of water current = q+p2:q-p2 => (11p/5 + p)/2 : (11p/5 - p)/2 => 8 : 3
Q: Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh? 1967 05b5cc6a6e4d2b4197774cdd9
5b5cc6a6e4d2b4197774cdd9- 1Rs. 5000true
- 2Rs. 6200false
- 3Rs. 8100false
- 4R. 7600false
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Answer : 1. "Rs. 5000"
Explanation :
Answer: A) Rs. 5000 Explanation: Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 12000012p = 60003000 => p= Rs. 5000 Hence, the amount investe by saketh = Rs. p = Rs. 5000.