Quantitative Aptitude Practice Question and Answer

Q: If a girl cycles at 10 kmph, then she arrives at a certain place at 1 p.m. If she cycles at 15 kmph, she will arrive at the same place at 11 a.m. At what speed must she cycle to get there at noon? 1807 0

  • 1
    14 kmph
    Correct
    Wrong
  • 2
    13 kmph
    Correct
    Wrong
  • 3
    12 kmph
    Correct
    Wrong
  • 4
    11 kmph
    Correct
    Wrong
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Answer : 3. "12 kmph"
Explanation :

Answer: C) 12 kmph Explanation: The distance is constant in this case. Let the time taken for travel with a speed of 10 kmph be 't'. Now the speed of 15 kmph is 3/2 times the speed of 10 kmph. Therefore, time taken with the speed of 15 kmph will be 2t/3 (speed is inversely proportional to time) Extra time taken = t - 2t/3 = t/3 => 1pm - 11am = 2hrs => t/3 = 2h => t = 6 hrs. Now, Distance = speed x time = 10 x 6 = 60 kms Time he takes to reach at noon = 6 - 1 = 5 hrs Now, Speed = 60/5 = 12 kmph.

Q: Simplify 2392-21+8-72=?2 1807 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 3. "6"
Explanation :

Answer: C) 6 Explanation: ?2 = 2×78-21+8+49-148= 57 - 21=36=> ? = ±6

Q: What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ? 1806 0

  • 1
    28450
    Correct
    Wrong
  • 2
    26340
    Correct
    Wrong
  • 3
    32640
    Correct
    Wrong
  • 4
    36450
    Correct
    Wrong
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Answer : 3. "32640"
Explanation :

Answer: C) 32640 Explanation: We know that zero can't be in hundreds place. But let's assume that our number could start with zero.   The formula to find sum of all numbers in a permutation is   111 x no of ways numbers can be formed for a number at given position x sum of all given digits   No of 1 s depends on number of digits   So,the answer us   111 x 20 x (0+1+2+3+4+5) = 33300   We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.   Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.   This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.   So the sum for this is 11 x 4 x (1+2+3+4+5). =660   Hope u understood why we use 4. Each number can be formed in 4x1 ways   So, the final answer is 33300-660 = 32640

Q: Anu's present age is 9 years more than that of what Raj's age will be after five years. Raj's present age is seven years more than that of what Renu's age was 4 years ago. Renu's present age is 19 years. What will be Anu's age after 5 years ? 1806 0

  • 1
    39 yrs
    Correct
    Wrong
  • 2
    36 yrs
    Correct
    Wrong
  • 3
    46 yrs
    Correct
    Wrong
  • 4
    41 yrs
    Correct
    Wrong
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Answer : 4. "41 yrs"
Explanation :

Answer: D) 41 yrs Explanation: Anu = (Raj + 5) + 9 = Raj + 14 -------- (I) Raj = (Renu - 4) + 7 = Renu + 3 ------- (II) Raj's age = 19 + 3 = 22 years After 5 years Anu's age = 22 + 14 + 5 = 41 years

Q: The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender? 1805 0

  • 1
    28.5 yrs
    Correct
    Wrong
  • 2
    29.5 yrs
    Correct
    Wrong
  • 3
    30.5 yrs
    Correct
    Wrong
  • 4
    27 yrs
    Correct
    Wrong
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Answer : 1. "28.5 yrs"
Explanation :

Answer: A) 28.5 yrs Explanation: According to the given data, (V + R)/2 = 24 Now, after joining of Veerender, V + R + D)/3 = 25.5 Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

Q: A polygon has 44 diagonals, then the number of its sides are ? 1805 0

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

Answer: C) 11 Explanation: Let the number of sides be n.  The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0  nC2 - n = 44 n2 - 3n - 88 = 0  n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0  n = -8 or n = 11.   As n>0, n will not be -8. Therefore, n=11.

Q: Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years? 1803 0

  • 1
    Rs. 364
    Correct
    Wrong
  • 2
    Rs. 432
    Correct
    Wrong
  • 3
    Rs. 498
    Correct
    Wrong
  • 4
    Rs. 554
    Correct
    Wrong
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Answer : 2. "Rs. 432"
Explanation :

Answer: B) Rs. 432 Explanation: Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya Principal amount and Time is same but the only difference is Rate of interest. Rajeev took @ 8% and gave it to Chanukya @ 6% Here the difference in interest rate = 2% 2% of 5400 should be the extra amount paid by Rajeev to Avinash Required amount = 2 x 5400 x 4100 = 432   Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

Q: There are two numbers such that the sum of twice the first number and thrice the second number is 100 and sum of thrice the first number and twice the second number is 120. Which is the larger number ? 1802 0

  • 1
    32
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    38
    Correct
    Wrong
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Answer : 1. "32"
Explanation :

Answer: A) 32 Explanation: Let the first number be K and second number be LThen, 2K + 3L = 100.....(1)3K + 2L = 120.......(2)solving (1)&(2), we getK = 32 and L = 12 Hence the largest number is 32.

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