Quantitative Aptitude Practice Question and Answer
8Q: What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520? 1941 05b5cc68be4d2b4197774c38a
5b5cc68be4d2b4197774c38a- 13.5%false
- 24%false
- 35%true
- 46.5%false
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Answer : 3. "5%"
Explanation :
Answer: C) 5% Explanation: Let 'R%' be the rate of interest From the given data, 25202400 = 1 + R10041 + R1003⇒1 + R100 = 6360⇒R = 5 Hence, the rate of interest R = 5% per annum.
Q: A, B and C can do a piece of work in 72, 48 and 36 days respectively. For first p/2 days, A & B work together and for next ((p+6))/3days all three worked together. Remaining 125/3% of work is completed by D in 10 days. If C & D worked together for p day then, what portion of work will be remained? 1941 05b5cc669e4d2b4197774bf4d
5b5cc669e4d2b4197774bf4d- 11/5false
- 21/6true
- 31/7false
- 41/8false
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Answer : 2. "1/6"
Explanation :
Answer: B) 1/6 Explanation: Total work is given by L.C.M of 72, 48, 36 Total work = 144 units Efficieny of A = 144/72 = 2 units/day Efficieny of B = 144/48 = 3 units/day Efficieny of C = 144/36 = 4 units/day According to the given data, 2 x p/2 + 3 x p/2 + 2 x (p+6)/3 + 3 x (p+6)/3 + 4 x (p+6)/3 = 144 x (100 - 125/3) x 1/100 3p + 4.5p + 2p + 3p + 4p = 84 x 3 - 54 p = 198/16.5 p = 12 days. Now, efficency of D = (144 x 125/3 x 1/100)/10 = 6 unit/day (C+D) in p days = (4 + 6) x 12 = 120 unit Remained part of work = (144-120)/144 = 1/6.
Q: What is the difference in the shares of profit between P and Q in a joint business at the end of one year ? a. P Invested Rs. 80,000 and withdrew Rs. 20,000 after 6 months. b. Q joined four months after the start of business. c. Q's amount was 80% of P's amount during the last six months. 1938 05b5cc70be4d2b4197774f2dc
5b5cc70be4d2b4197774f2dc- 1Only afalse
- 2Only cfalse
- 3Both a & bfalse
- 4Data is not sufficienttrue
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Answer : 4. "Data is not sufficient"
Explanation :
Answer: D) Data is not sufficient Explanation: a. P's investment = (80000 x 6 + 60000 x 6) = 840000 for 1 month. b & c. Q's investment = 80% of Rs. 60000 for 8 months. = Rs.(48000 x 8) for 1 month = 384000 for 1 month P : Q = 840000 : 384000 = 35 : 16. But, the total profit is not given, so data is inadequate.
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? 1938 05b5cc662e4d2b4197774be9c
5b5cc662e4d2b4197774be9c- 170 kmstrue
- 260 kmsfalse
- 345 kmsfalse
- 430 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: The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?
1937 05d4aa1bf11160f2052371576
5d4aa1bf11160f2052371576- 11856 cm2false
- 21658 cm2false
- 31558 cm2false
- 41586 cm2false
- 5None of thesetrue
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Answer : 5. "None of these"
Explanation :
given 4a=224,
a=56, so that Area of square is=a2=56*56
so that Area of Triangle is a2/2=1568
Q: A person in a bet 40 shots taken. 50p for a hit, 10p for a miss.(he have to give). Finally he has Rs.5. How many hits he have ? 1934 05b5cc718e4d2b4197774f47c
5b5cc718e4d2b4197774f47c- 115true
- 220false
- 325false
- 430false
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Answer : 1. "15"
Explanation :
Answer: A) 15 Explanation: Let number of hit shots be 'X'Let number of miss shots be 'Y'Given X + Y = 40....(1)50X - 10Y = 500.....(2)Solving 1 and 2, we getX = 15 and Y = 25Therefore, number of hits = 15
Q: It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ? 1932 05b5cc6cfe4d2b4197774e2ef
5b5cc6cfe4d2b4197774e2ef- 11000 (r - p) + pqfalse
- 21000 p + qrfalse
- 31000 (r - q) + prfalse
- 41000(p - q) + qrtrue
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Answer : 4. "1000(p - q) + qr"
Explanation :
Answer: D) 1000(p - q) + qr Explanation: We need to find the total cost to send r messsages, r > 1000. The first 1000 messsages will cost Rs.p each (Or) The total cost of first 1000 messsages = Rs.1000p The remaining (r - 1000) messsages will cost Rs.q each (Or) The cost of the (r - 1000) = Rs.(r - 1000)y Therefore, total cost = 1000p + rq - 1000q = 1000(p - q) + qr
Q: What will be added to the unit digits of the number 86236 so that number will be divisible by 9 ? 1931 05b5cc6cae4d2b4197774dfcf
5b5cc6cae4d2b4197774dfcf- 11false
- 22true
- 33false
- 40false
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Answer : 2. "2"
Explanation :
Answer: B) 2 Explanation: A number is divisible by 9 only if the sum of the digits of the number is divisible by 9. Here 86236 = 8 + 6 + 2 + 3 + 6 = 25 We must add 2 to 25 to become 27 which is divisible by 9.