Quantitative Aptitude Practice Question and Answer
8Q: Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ? 1821 05b5cc75ee4d2b4197774fcb6
5b5cc75ee4d2b4197774fcb6- 181false
- 278false
- 380.5false
- 481.5true
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Answer : 4. "81.5"
Explanation :
Answer: D) 81.5 Explanation: Let the number of students in classes A, B and C be P, Q and R respectively.Then, total score of A = 83P, total score of B = 76Q, total score of C = 85R.Also given that,(83P + 76Q) / (P + Q) = 79=>4P = 3Q.(76Q + 85R)/(Q + R) = 81=>4R = 5Q,=>Q = 4P/3 and R = 5P/3Therefore, average score of A, B, C = ( 83P + 76Q + 85R ) / (P + Q + R) = 978/12 = 81.5
Q: A fair coin is tossed 11 times. What is the probability that only the first two tosses will yield heads ? 1820 05b5cc6c8e4d2b4197774df23
5b5cc6c8e4d2b4197774df23- 1(1/2)^11true
- 2(9)(1/2)false
- 3(11C2)(1/2)^9false
- 4(1/2)false
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Answer : 1. "(1/2)^11"
Explanation :
Answer: A) (1/2)^11 Explanation: Probability of occurrence of an event, P(E) = Number of favorable outcomes/Numeber of possible outcomes = n(E)/n(S) ⇒ Probability of getting head in one coin = ½, ⇒ Probability of not getting head in one coin = 1- ½ = ½, Hence, All the 11 tosses are independent of each other. ∴ Required probability of getting only 2 times heads =122×129=1211
Q: After working for 8 days, Arun finds that only 13 rd of the work has been done. He employs Akhil who is 60% as efficient as Arun. How many days more would Akhil take to complete the work? 1818 05b5cc76fe4d2b4197774ff67
5b5cc76fe4d2b4197774ff67- 124.5 daysfalse
- 226.6 daystrue
- 325 daysfalse
- 420 daysfalse
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Answer : 2. "26.6 days"
Explanation :
Answer: B) 26.6 days Explanation: Arun has completed 13rd of the work in 8 days Then he can complete the total work in 13 ---- 8 1 ---- ? = 24 days But given Akhil is only 60% as efficient as Arun Akhil =124×60100=140 Akhil can complete the total work in 40 days Now, remaining 2/3rd of work can be completed in 1 ------ 40 23 ------ ? = 26.66 days.
Q: Find the next two numbers in the sequence 4, 12, 6, 18, 12, 26, 30, ?, ? 1818 05b5cc6b8e4d2b4197774d655
5b5cc6b8e4d2b4197774d655- 136 & 90true
- 290 & 41false
- 345 & 36false
- 441 & 36false
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Answer : 1. "36 & 90"
Explanation :
Answer: A) 36 & 90 Explanation: the next 2 number in series we need to divide the series into 2 different series First series : 4 , 6, 12, 30 ?? Second Series : 12,18,26, ?? So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply : Pattern of Series 1 : 6 divide 4 : 1.5 Next number i.e 12 divided by 6=2 Next number i.e 30 divided by 12 =2.5 So series is going in multiples of 1.5, 2, 2.5, 3 , so on So first series will look like 4 , 6, 12, 30, 30x3 =90 Pattern of Series 2 : 12,18,26, ?? Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12) Series will be like 12,18,26,36. For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90
Q: Lucky started working 2 years ago. Her starting salary was half of Karthik's salary at that time. Each year since then Lucky and Karthik have received a rise of 10% in their respective salary. What percentage (to the nearest percent) of Karthik's current salary is Lucky's current salary ? 1817 05b5cc6cfe4d2b4197774e2f9
5b5cc6cfe4d2b4197774e2f9- 175%false
- 222.5%false
- 335%false
- 450%true
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Answer : 4. "50%"
Explanation :
Answer: D) 50% Explanation: Let the salary of Karthik 2 years ago be Rs.100So, Lucky's salary 2 years ago was Rs.50 Karthik's present salary has seen two 10 percent increases. So as Lucky's salary. So, Karthik's salary 1 year ago = 100 + 10% of 100 = 100 + 10 = 110.Karthik's present salary = 110 + 10% of 110 = 110 + 11 = 121. Lucky's salary 1 year ago = 50 + 10% of 50 = 50 + 5 = 55Lucky's present salary = 55 + 10% of 55 = 55 + 5.5 = 60.5 Lucky's present salary of 60.5 = 50% of Karthik's present salary of 121.
Q: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 1817 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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Answer : 1. "49 kmph"
Explanation :
Answer: A) 49 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.
Q: There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ? 1816 05b5cc705e4d2b4197774f253
5b5cc705e4d2b4197774f253- 123true
- 2432false
- 322false
- 4431false
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Answer : 1. "23"
Explanation :
Answer: A) 23 Explanation: As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used. C19+C18+C16 = 23 will be answer.
Q: An amount doubles itself in 15 years. what is the rate of interest ? 1815 05b5cc711e4d2b4197774f3cd
5b5cc711e4d2b4197774f3cd- 17.85 %false
- 29.41%false
- 36.66 %true
- 44.21 %false
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Answer : 3. "6.66 %"
Explanation :
Answer: C) 6.66 % Explanation: Let the principle be Rs. PAs the amount double itself the interest is Rs. P tooSo P = P x r x 15/100=> r = 100/15 = 20/3 % = 6.66 %.

