Quantitative Aptitude Practice Question and Answer

Q: 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ? 1953 0

  • 1
    32.1 km
    Correct
    Wrong
  • 2
    15.23 km
    Correct
    Wrong
  • 3
    3.75 km
    Correct
    Wrong
  • 4
    32.1 m
    Correct
    Wrong
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Answer : 3. "3.75 km"
Explanation :

Answer: C) 3.75 km Explanation: Let 'd' be the distance between A and BK -time = d/10 + d/9 = 19d/90 hoursL -time = 2d/12 = d/6 hoursWe know that, 10 min = 1/6 hoursThus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6=> (19d-15d)/90 = 1/6=> 4d/90 = 1/6Thus,d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km.

Q: The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ? 1950 0

  • 1
    2580
    Correct
    Wrong
  • 2
    3687
    Correct
    Wrong
  • 3
    4320
    Correct
    Wrong
  • 4
    5460
    Correct
    Wrong
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Answer : 3. "4320"
Explanation :

Answer: C) 4320 Explanation: Let 'Y' be the youngest player. The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways. The required number of ways = 3(3!) = 4320.

Q: The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ? 1949 0

  • 1
    225 deg
    Correct
    Wrong
  • 2
    210 deg
    Correct
    Wrong
  • 3
    205 deg
    Correct
    Wrong
  • 4
    245 deg
    Correct
    Wrong
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Answer : 1. "225 deg"
Explanation :

Answer: A) 225 deg Explanation: Angle of triangle = 180 × 3/12 = 45 deg Other angles of the triangle are = 60 deg, 75 deg Angle of quadrilateral = 360 - (45 + 60 + 75) = 180 deg Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees. Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

Q: A bus covers its journey at the speed of 80km/hr in 10hours. If the same distance is to be covered in 4 hours, by how much the speed of bus will have to increase ? 1949 0

  • 1
    85 km/hr
    Correct
    Wrong
  • 2
    95 km/hr
    Correct
    Wrong
  • 3
    105 km/hr
    Correct
    Wrong
  • 4
    120 km/hr
    Correct
    Wrong
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Answer : 4. "120 km/hr"
Explanation :

Answer: D) 120 km/hr Explanation: Initial speed = 80km/hrTotal distance = 80 x 10 = 800kmNew speed = 800/4 =200km/hrIncrease in speed = 200 - 80 = 120km/hr

Q: On retirement, a woman gets Rs. 1,45,440 of her provident fund which she invests in a scheme at 20% per annum. Her monthly income from this scheme will be 1949 0

  • 1
    Rs. 2550
    Correct
    Wrong
  • 2
    Rs. 2424
    Correct
    Wrong
  • 3
    Rs. 2224
    Correct
    Wrong
  • 4
    Rs. 2380
    Correct
    Wrong
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Answer : 2. "Rs. 2424"
Explanation :

Answer: B) Rs. 2424 Explanation: Now, the principal amount P = Rs. 1,45,440 Rate of interest R = 20%/annum Now monthly income I = PTR/100 = 1,45,440 x 20 x 1/100 x 12 = 2908800/1200 = Rs. 2424.   Hence, her monthly income = Rs. 2424.

Q: Some children goto ice-cream shop. 9 flavours are available there. Each child takes a cone with two different flavours. No two children take same combination and they have taken all such possible combinations. How many children went to ice cream shop ? 1946 0

  • 1
    28
    Correct
    Wrong
  • 2
    56
    Correct
    Wrong
  • 3
    44
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 4. "36"
Explanation :

Answer: D) 36 Explanation: Given there are 9 flavours of ice creams.   Each child takes the combination of two flavours and no two children will have the same combination   This can be done by  ways i.e children.   Number of children=C29  = 9 x 8 / 1x 2 = 36.

Q: The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ? 1945 1

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 5500
    Correct
    Wrong
  • 3
    Rs. 1400
    Correct
    Wrong
  • 4
    Rs. 4120
    Correct
    Wrong
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Answer : 1. "Rs. 1100"
Explanation :

Answer: A) Rs. 1100 Explanation: Let the sum be Rs.x. Then,     x1+101002-x=1155   ⇒x11102-1=1155   => x =5500   sum = Rs. 5500.   So, S.I = Rs. 5500×5×4100 = 1100

Q: Express 0.875 and 0.375 as a Fraction. 1942 0

  • 1
    3/11 & 7/11
    Correct
    Wrong
  • 2
    7/9 & 9/13
    Correct
    Wrong
  • 3
    7/8 & 3/8
    Correct
    Wrong
  • 4
    7/9 & 9/11
    Correct
    Wrong
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Answer : 3. "7/8 & 3/8"
Explanation :

Answer: C) 7/8 & 3/8 Explanation: Given 0.875 and 0.375 0.875 :: After decimal point there are 3 digits 875 Now, mutiply and divide 0.875 with 1000 0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78 Similarly, 0.375 ::  After decimal point there are 3 digits 375 Now, mutiply and divide 0.375 with 1000 0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

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