Quantitative Aptitude Practice Question and Answer

Q: Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet? 2260 0

  • 1
    360 kms
    Correct
    Wrong
  • 2
    480 kms
    Correct
    Wrong
  • 3
    520 kms
    Correct
    Wrong
  • 4
    240 kms
    Correct
    Wrong
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Answer : 2. "480 kms"
Explanation :

Answer: B) 480 kms Explanation: Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms Let the Charminar Express takes 't' hrs to catch Chennai express => 80 x t = 60 x (2 + t) => 80 t = 120 + 60t => t = 6 hrs   Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.

Q: Derivative of sinx by first principle? 2259 0

  • 1
    -sinx
    Correct
    Wrong
  • 2
    -cosx
    Correct
    Wrong
  • 3
    cosx
    Correct
    Wrong
  • 4
    sinx
    Correct
    Wrong
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Answer : 3. "cosx"
Explanation :

Answer: C) cosx Explanation:   Thus, the derivative of sinx by first principle is cosx.

Q: Twelve percent of Kalyan's monthly salary is equal to the sixteen per cent of Nandu's monthly salary. Sarnesh's monthly salary is half that of Nandu's monthly salary. If sarnesh's annual salary is Rs. 1.08 lacs, What is Kalyan's monthly salary ? 2255 0

  • 1
    15,000
    Correct
    Wrong
  • 2
    36,000
    Correct
    Wrong
  • 3
    24,000
    Correct
    Wrong
  • 4
    12,500
    Correct
    Wrong
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Answer : 3. "24,000"
Explanation :

Answer: C) 24,000 Explanation: Let K = Kalyan's monthly salaryN = Nandu's monthly salaryS = Sarnesh's monthly salary.Then from given data, 12% of K = 16% of NS = N/2 => N = 2SK = 16/12 x N = 16/12 x 2S= 16/6 x 1.08/12 = 16/6 x 0.09 = 0.24 lacs = 24,000

Q: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is  ? 2255 0

  • 1
    2(6!)
    Correct
    Wrong
  • 2
    6! x 7
    Correct
    Wrong
  • 3
    6! x ⁷P₆
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "6! x ⁷P₆"
Explanation :

Answer: C) 6! x ⁷P₆ Explanation: We can initially arrange the six boys in 6! ways.Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways. Hence required number of ways = 6! x ⁷P₆

Q: What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ? 2254 0

  • 1
    165 degrees
    Correct
    Wrong
  • 2
    172.5 degrees
    Correct
    Wrong
  • 3
    112.5 degrees
    Correct
    Wrong
  • 4
    125.5 degrees
    Correct
    Wrong
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Answer : 2. "172.5 degrees"
Explanation :

Answer: B) 172.5 degrees Explanation: The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand. Here 15 minutes corresponds to 15 x 6 = 90 degrees Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees. Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

Q: Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh? 2254 0

  • 1
    Rs. 5000
    Correct
    Wrong
  • 2
    Rs. 6200
    Correct
    Wrong
  • 3
    Rs. 8100
    Correct
    Wrong
  • 4
    R. 7600
    Correct
    Wrong
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Answer : 1. "Rs. 5000"
Explanation :

Answer: A) Rs. 5000 Explanation: Let the amount invested by saketh = RS. p Now, that of sandeep = 20,000 x 6 saketh = 12 x p Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000) => 12000012p = 60003000 => p= Rs. 5000 Hence, the amount investe by saketh  = Rs. p  = Rs. 5000.

Q: Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train? 2252 0

  • 1
    105 mts
    Correct
    Wrong
  • 2
    115 mts
    Correct
    Wrong
  • 3
    120 mts
    Correct
    Wrong
  • 4
    140 mts
    Correct
    Wrong
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Answer : 4. "140 mts"
Explanation :

Answer: D) 140 mts Explanation: Speeds of two trains = 30 kmph and 58 kmph => Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s Given a man takes time to cross length of faster train = 18 sec   Now, required Length of faster train = speed x time = 70/9  x  18 = 140 mts.

Q: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = ? 2252 0

  • 1
    0
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 3. "12"
Explanation :

Answer: C) 12 Explanation: Given  1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 Using BODMAS Rule, As multiplication precedes addition, 1 x 0 = 0,  Now, 10 + 0 + 1 + 1 = 10 + 2 = 12.   Hence, 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 x 0 + 1 + 1 = 12.

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