Quantitative Aptitude Practice Question and Answer
8Q: Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ? 2349 05b5cc6cae4d2b4197774e068
5b5cc6cae4d2b4197774e068- 131 yearstrue
- 237 yearsfalse
- 346 yearsfalse
- 429 yearsfalse
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Answer : 1. "31 years"
Explanation :
Answer: A) 31 years Explanation: Let the present age of Pinky be x years Then the age of Mary is x - 12 years After 3 years, Ratio of MaryPinky = x - 9x + 3 = 58 8x - 72 = 5x +15 => 3x = 87 => x = 29 => Age of Pinky = 29 years => Age of Mary = 29 - 12 = 17 years Present age of Sam = 29 + 17 = 46 Before 15 years Sam age = 46 - 15 = 31 years.
Q: The sides of a right-angled triangle are 12 cm, 16 cm, 20 cm respectively. A new right angle Δ is made by joining the midpoints of all the sides. This process continues for infinite then calculate the sum of the areas of all the triangles so made. 2349 05b5cc6b7e4d2b4197774d62e
5b5cc6b7e4d2b4197774d62e- 1312 sq.cmfalse
- 2128 sq.cmtrue
- 3412 sq.cmfalse
- 4246 sq.cmfalse
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Answer : 2. "128 sq.cm"
Explanation :
Answer: B) 128 sq.cm Explanation: Area = = 96 Sum of Area =
Q: A batsman scored 180 runs which included 11 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ? 2348 05b5cc75ce4d2b4197774fc4d
5b5cc75ce4d2b4197774fc4d- 162.45%false
- 251.42%false
- 348.88%true
- 447.32%false
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Answer : 3. "48.88%"
Explanation :
Answer: C) 48.88% Explanation: Number of runs made by running = 180 - (11 x 4 + 8 x 6)= 180 - (92)= 88Now, we need to calculate 88 is what percent of 180.⇒88180×100 = 48.888%.
Q: Ram sell his goods 25% cheaper than Shyam and 25% dearer than Bram. How much % is Bram's good cheaper than Shyam ? 2348 05b5cc70be4d2b4197774f2f6
5b5cc70be4d2b4197774f2f6- 160%false
- 240%true
- 350%false
- 430%false
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Answer : 2. "40%"
Explanation :
Answer: B) 40% Explanation: Lets say shyam sells at 100, Since Ram sells 25% cheaper than Shyam, Therefor Ram sells at less than 25% of100 or 75 rs. Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or 125% of x (say x price of bram )=75rs.or 100% of x =60rs.hence price of bram is 60rs. now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%. Hence Brams Good is 40% cheaper than that of Shyam's good.
Q: K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ? 2348 05b5cc774e4d2b4197775003e
5b5cc774e4d2b4197775003e- 130 daystrue
- 240 daysfalse
- 3120 daysfalse
- 480 daysfalse
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Answer : 1. "30 days"
Explanation :
Answer: A) 30 days Explanation: Given K=4L -->K+L = 4L+L = 5L These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days. Hence, K alone can do the work in 120/4= 30 days.
Q: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ? 2347 05b5cc71ee4d2b4197774f568
5b5cc71ee4d2b4197774f568- 176%false
- 272%false
- 380%true
- 482%false
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Answer : 3. "80%"
Explanation :
Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr = 10 => so r = 5πvolume = π×5π2×8 = 200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.
Q: If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ? 2345 05b5cc74ae4d2b4197774fa81
5b5cc74ae4d2b4197774fa81- 151/1221false
- 242/221false
- 31/221true
- 452/1245false
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Answer : 3. "1/221"
Explanation :
Answer: C) 1/221 Explanation: Total Combination of getting a card from 52 cards = C152 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= C151 Total combination of getting 2 cards from 52 cards without replacement= (C152×C151) There are total 4 Ace in stack. Combination of getting 1 Ace is = C14 Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace = C13 Total Combination of getting 2 Ace without replacement=C14×C13 Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.
Q: Express 3/8 and 1/10 as a Decimals? 2345 05b5cc6b3e4d2b4197774d437
5b5cc6b3e4d2b4197774d437- 11.375 & 1false
- 20.375 & 1false
- 313.75 & 1.1false
- 40.375 & 0.1true
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Answer : 4. "0.375 & 0.1"
Explanation :
Answer: D) 0.375 & 0.1 Explanation: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => 3 x 1258 x 125 = 3751000 = 0.375 1/10 as a Decimal : 1 divided into 10 parts of each 0.1. Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.