Quantitative Aptitude Practice Question and Answer

Q: 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? 2051 0

  • 1
    3.5%
    Correct
    Wrong
  • 2
    4%
    Correct
    Wrong
  • 3
    5%
    Correct
    Wrong
  • 4
    6.5%
    Correct
    Wrong
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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: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? 2049 0

  • 1
    15 min 20 sec.
    Correct
    Wrong
  • 2
    16 min 40 sec.
    Correct
    Wrong
  • 3
    13 min 10 sec.
    Correct
    Wrong
  • 4
    14 min 40 sec.
    Correct
    Wrong
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Answer : 4. "14 min 40 sec."
Explanation :

Answer: D) 14 min 40 sec. Explanation: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15   Remaining part = 1 - 7/15 = 8/15   Part filled by B in 1 minute = 1/20   1/20 : 8/15 :: 1 : k   k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.   The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

Q: Ramesh spent Rs. 38460 on the renovation of his home, Rs. 24468 on buying furniture and remaining 28% of the total amount he had as cash with him. What was the total amount ? 2048 0

  • 1
    87400
    Correct
    Wrong
  • 2
    92520
    Correct
    Wrong
  • 3
    88470
    Correct
    Wrong
  • 4
    90150
    Correct
    Wrong
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Answer : 1. "87400"
Explanation :

Answer: A) 87400 Explanation: Let X be the total amount with Ramesh Given 28% of X = Cash remaining => Amount spent = 72% of X = 38460 + 24468 = 62928 => 72% of X = 62928 =>  X = ? => X = 87400

Q: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit  ? 2048 0

  • 1
    Rs. 8840
    Correct
    Wrong
  • 2
    Rs. 8800
    Correct
    Wrong
  • 3
    Rs. 8810
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 4. "None"
Explanation :

Answer: D) None Explanation: Amount = 80001+51002   = 8000 x 21/20 x 21/20    = Rs. 8820

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. 2048 0

  • 1
    Only a
    Correct
    Wrong
  • 2
    Only c
    Correct
    Wrong
  • 3
    Both a & b
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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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: Find the compound interest on Rs. 6,500 for 4 years if the rate of interest is 10% p.a. for the first 2 years and 20% per annum for the next 2 years? 2046 0

  • 1
    Rs. 3845
    Correct
    Wrong
  • 2
    Rs. 4826
    Correct
    Wrong
  • 3
    Rs. 5142
    Correct
    Wrong
  • 4
    Rs. 4415
    Correct
    Wrong
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Answer : 2. "Rs. 4826"
Explanation :

Answer: B) Rs. 4826 Explanation: We know the formula for calculating The compound interest C = P1 + r100n - 1 where P = amount, r = rate of interest, n = time Here P = 5000, r1 = 10, r2 = 20 Then C = 65001 + 101002 x 1 + 201002 - 1= 6500 x 18562500= 65 x 185625 C = Rs. 4826.

Q: How many meshes are there in 1 squrare meter of wire gauge if each mesh is 8mm long and 5mm wide ? 2045 0

  • 1
    2500
    Correct
    Wrong
  • 2
    25000
    Correct
    Wrong
  • 3
    12500
    Correct
    Wrong
  • 4
    15400
    Correct
    Wrong
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Answer : 2. "25000"
Explanation :

Answer: B) 25000 Explanation: We know that,   One square meter is equal to 10,00,000 sq mm.Given, each mesh is 8mm length and 5mm wideTherefore for each mesh : 8 x 5 = 40 sq mm.So, number of meshes = 100000040 = 25000.

Q: An Engine length 1000 m moving at 10 m/s. A bird is flying from engine to end with 'x' m/s and coming back at '2x' m/s. Take total time of bird travelling as 187.5 s. Find x and 2x in km/hr ? 2045 0

  • 1
    21.4 and 42.8
    Correct
    Wrong
  • 2
    25.2 and 50.4
    Correct
    Wrong
  • 3
    31.4208 and 62.8416
    Correct
    Wrong
  • 4
    33.12 and 66.24
    Correct
    Wrong
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Answer : 3. "31.4208 and 62.8416"
Explanation :

Answer: C) 31.4208 and 62.8416 Explanation: Birds speeds in mtrs/sec is 'x' and '2x' .While flying from Engine to end, relative speed = (x+10) m/secfrom end to engine, flying speed = (2x - 10) mtr/secso 1000/(x+10) + 1000/(2x-10) = 187.5 secssolving it, we getso x = 8.728 m/sec and 2x= 17.456 m/sec x = 31.4208 km/hr and 2x = 62.8416 km/hr.

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