Quantitative Aptitude Practice Question and Answer

Q: A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ? 1615 0

  • 1
    11/91
    Correct
    Wrong
  • 2
    4/11
    Correct
    Wrong
  • 3
    1/11
    Correct
    Wrong
  • 4
    90/91
    Correct
    Wrong
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Answer : 4. "90/91"
Explanation :

Answer: D) Option D Explanation: Let S be the sample space. Then,n(s) = number of ways of drawing 4 pearls out of 14 = C414 ways = 14×13×12×114×3×2×1= 1001 Let E be the event of drawing 4 pearls of the same colour.Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)   ⇒C15+ C44+ C15 = 5+1+5 =11  P(E) = n(E)n(S)=111001=191      Required probability = 1-191=9091

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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: The missing number in the Series 114, 131, 165, 216,  ?, 369 1611 0

  • 1
    314
    Correct
    Wrong
  • 2
    304
    Correct
    Wrong
  • 3
    294
    Correct
    Wrong
  • 4
    284
    Correct
    Wrong
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Answer : 4. "284"
Explanation :

Answer: D) 284 Explanation: 114       131     165     216     ?      369    +17      +34     +51     +68    +85   => The missing number in the given Number series = 216 + 68 = 284.

Q: In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ? 1611 0

  • 1
    175
    Correct
    Wrong
  • 2
    145
    Correct
    Wrong
  • 3
    165
    Correct
    Wrong
  • 4
    135
    Correct
    Wrong
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Answer : 1. "175"
Explanation :

Answer: A) 175 Explanation: Let the number of males be 'M'Let the number of females be 'F'From the given conditions,(F-15)=2M.....(i)F=5(M-45).....(ii)By solving the equations (1) & (2) we get M = 80 Then substitute M = 80 in (1)F = 2M + 15F = 2 x 80 + 15=> F = 175Therefore, number of males = 80 and females = 175 in the party.

Q: If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is: 1610 0

  • 1
    Rs. 408
    Correct
    Wrong
  • 2
    Rs. 204
    Correct
    Wrong
  • 3
    Rs. 412
    Correct
    Wrong
  • 4
    Rs. 220
    Correct
    Wrong
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Answer : 2. "Rs. 204"
Explanation :

Answer: B) Rs. 204 Explanation: Given ratio = 1/2:2/3:3/4 = 6:8:9 1st part = 782 x 6/23 = Rs. 204.

Q: 3131×31-27 =? 1609 0

  • 1
    961 x 861
    Correct
    Wrong
  • 2
    961 x 961
    Correct
    Wrong
  • 3
    961 x 2
    Correct
    Wrong
  • 4
    29791
    Correct
    Wrong
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Answer : 2. "961 x 961"
Explanation :

Answer: B) 961 x 961 Explanation: We know that am×an=am+n  ∴3131-27 = 314 = 961 x 961.

Q: The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings? 1607 0

  • 1
    Rs.22,000
    Correct
    Wrong
  • 2
    Rs.27,500
    Correct
    Wrong
  • 3
    Rs. 26,400
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
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Answer : 4. "Cannot be determined"
Explanation :

Answer: D) Cannot be determined Explanation:

Q: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? 1604 0

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 1200
    Correct
    Wrong
  • 3
    Rs. 1000
    Correct
    Wrong
  • 4
    Rs. 1840
    Correct
    Wrong
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Answer : 2. "Rs. 1200"
Explanation :

Answer: B) Rs. 1200 Explanation: P --- 10 ----- 600    P --- 5 ----- 300 3P --- 5 ----- 900                __________                   1200

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