Quantitative Aptitude Practice Question and Answer
8Q: Ajay and his wife Reshmi appear in an interview for two vaccancies in the same post. The Probability of Ajay's selection is 1/7 and that of his wife Reshmi's selection is 1/5. What is the probability that only one of them will be selected? 2064 05b5cc7d0e4d2b41977751222
5b5cc7d0e4d2b41977751222- 15/7false
- 21/5false
- 32/7true
- 42/35false
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Answer : 3. "2/7"
Explanation :
Answer: C) 2/7 Explanation: P( only one of them will be selected) = p[(E and not F) or (F and not E)] = PE∩F∪F∩E = PEPF+PFPE =17×45+15×67=27
Q: In a joint family, there are 24 members whose age is decreased by 4 months, when one girl aged 24 years is replaced by a new boy. Find the age of the new boy ? 2063 05b5cc6c5e4d2b4197774dd73
5b5cc6c5e4d2b4197774dd73- 118 yearsfalse
- 212 yearsfalse
- 315 yearsfalse
- 416 yearstrue
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Answer : 4. "16 years"
Explanation :
Answer: D) 16 years Explanation: Age of new boy = (Age of moved girl) – (Number of family members × Decreased in average) = 24 – 24×4/12 = 24 – 8 = 16 years.
Q: The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ? 2063 05b5cc783e4d2b41977750205
5b5cc783e4d2b41977750205- 1Rs.855false
- 2Rs.955false
- 3Rs.906true
- 4Rs.896false
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Answer : 3. "Rs.906"
Explanation :
Answer: C) Rs.906 Explanation: Let C.P =Rs. x Then as given, (753 - x ) = (x - 455) =>2x = 1208 => x = 604 There fore S.P= 150% of 604 => Rs. 150100×604= Rs.906
Q: A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ? 2062 05b5cc6c0e4d2b4197774dae4
5b5cc6c0e4d2b4197774dae4- 152%false
- 264%false
- 384%true
- 477%false
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Answer : 3. "84%"
Explanation :
Answer: C) 84% Explanation: Let the number be 'x' Then, according to the given data, 52x-25x52xx100 = 2125x100 = 84%
Q: A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red? 2061 05b5cc6a9e4d2b4197774cef6
5b5cc6a9e4d2b4197774cef6- 12/3true
- 21/8false
- 33/8false
- 43/4false
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Answer : 1. "2/3"
Explanation :
Answer: A) 2/3 Explanation: Given number of balls = 3 + 5 + 7 = 15 One ball is drawn randomly = 15C1 probability that it is either pink or red = 7C1 + 3C115C1 = 7 + 315 = 1015 = 23
Q: Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ? 2060 05b5cc774e4d2b41977750034
5b5cc774e4d2b41977750034- 13449 daysfalse
- 212449 daysfalse
- 34349 daystrue
- 441249 daysfalse
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Answer : 3. "4349 days"
Explanation :
Answer: C) Option C Explanation: Raghu can complete the work in (12 x 9)hrs = 108 hrs. Arun can complete the work in (8 x 11)hrs = 88 hrs. Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88 (Raghu + Arun)'s 1 hrs work = 1108+188=492376 So, both Raghu and Arun will finish the work in 237649 hrs Number of days of 12 hours each=237649×112 = 19849=4349 days
Q: P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119days, in how many days will Q alone do the same work ? 2060 05b5cc6c2e4d2b4197774dbcd
5b5cc6c2e4d2b4197774dbcd- 124 daysfalse
- 225 daystrue
- 320 daysfalse
- 419 daysfalse
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Answer : 2. "25 days"
Explanation :
Answer: B) 25 days Explanation: Let Q complete that work in 'L' days => 1L + 1L-5 = 9100 => 9L2-245L+500=0 L = 25 days.
Q: The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ? 2060 05b5cc72ce4d2b4197774f76e
5b5cc72ce4d2b4197774f76e- 114:9false
- 213:12false
- 316:5true
- 417:13false
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Answer : 3. "16:5"
Explanation :
Answer: C) 16:5 Explanation: Area of a square SxS = 1024 => S = 32 cmLength of the rectangle = 32x2 cm = 64 cmBreadth of the rectangle = 32 - 12 = 20 cmRequired ratio = 64 : 20 = 16 : 5