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Quantitative Aptitude

Description: mcq
Number of Questions: 17
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Tags: apti Average Arithmetic Simplification Time and Distance Ratio/Proportion and Variation Ratio/Proportion & Variation
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If 20% of 25% of a number is 100, then what is 24% of that number?

  1. 480

  2. 2000

  3. 1.2

  4. 120

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the original number be X. Then (20 * 25 * X)/(100 * 100) = 100X = 2000 So, the required number = 24 * 2000/100 = 480.

If 36% of a number, when subtracted from itself, gives 16 as the answer, then what is the number?

  1. 5.76

  2. 44.44

  3. 25

  4. 225

  5. None of these

Show answer
Correct Option: C
Explanation:

Let the number be X. Then according to the question, X - (X * 36/100) = 16 X * 64/100 = 16 X = 25

A, B, C, D and E are five consecutive odd numbers. If the sum of C and E is 150, then what is the value of D?

  1. 73

  2. 77

  3. 75

  4. 69

  5. None of these

Show answer
Correct Option: C
Explanation:

Suppose the five consecutive odd numbers are X, X + 2, X + 4, X + 6 and X + 8. Then, X + 4 + X + 8 = 150 X = 69 So, D = X + 6 = 69 + 6 = 75

If the numerator of a fraction is increased by 500% and the denominator is decreased by 50%, the resultant fraction is 3/2. What was the original fraction?

  1. 3/8

  2. 1/8

  3. 1/10

  4. 3/20

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the original fraction be a/b. The equation becomes (6 * a)/(1.5 * b) = 3/2 a/b = 3/8

A 400 m long train crosses a 200 m long platform in 80 seconds. What is the speed of the train (in km/hr)?

  1. 27

  2. 18

  3. 7.5

  4. 9

  5. None of these

Show answer
Correct Option: A
Explanation:

Total distance covered by the train = 400 + 200 = 600 m Speed = 600/80 = 15/2 m/s = (15 * 18)/(2 * 5) km/hr = 27 km/hr

In how many ways can 8 people be seated on a sofa if there are only 5 seats available?

  1. 56

  2. 6720

  3. 120

  4. 336

  5. None of these

Show answer
Correct Option: B
Explanation:

Required number of ways = 8P5 = 8 * 7 * 6 * 5 * 4 * 3!/3! = 6720

The total cost of 5 pendants and 8 chairs is Rs. 145785. What would be the total cost of 20 pendants and 32 chairs?

  1. Rs. 583140

  2. Rs. 5831400

  3. Rs. 583500

  4. Rs. 583410

  5. None of these

Show answer
Correct Option: A
Explanation:

Suppose, the price of one pendant = p Price of one chair = c So, (5 * p + 8 * c) = Rs.145785 4 * (5 * p + 8 * c) = 4 *  Rs.145785 20 * p + 32 * c =  Rs. 583140

A bus covers 400 km in 8 hours and another bus covers 500 km in 10 hours. The ratio of their average speeds is

  1. 1 : 1

  2. 4 : 5

  3. 5 : 4

  4. 16 : 25

  5. None of these

Show answer
Correct Option: A
Explanation:

Speed of the first bus = 400/8 = 50 km/hr Speed of the second bus = 500/10 = 50 km/hr Ratio of their speeds = 50 : 50 = 1 : 1

A cycle covers a certain distance in 2 hours and 30 minutes by covering two-thirds of the distance at 8 kmph and the rest at 9 kmph. Find the total distance.

  1. 20.77 km

  2. 20.83 km

  3. 21.25 km

  4. 42.5 km

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the total distance be x. Then (2 * x/3)/8 + (x/3)/9 = 2.5 x/12 + x/27 = 2.5 13 * x/108 = 2.5 x = 270/13 = 20.77

If 55% of 20% of a number is 1100, then what is the number?

  1. 121

  2. 1466.67

  3. 565

  4. 10000

  5. None of these

Show answer
Correct Option: D
Explanation:

Let the number be X. Then (X * 55 * 20)/(100 * 100) = 1100 X = 10000

By how much is 1/6th of 120 lesser than 2/5th of 180?

  1. 52

    • 52
    • 18

  4. 92

  5. None of these

Show answer
Correct Option: A
Explanation:

Answer = (2 * 180/5) - (120/6) = 72 - 20 = 52

A sum of Rs. 400 was divided among 80 boys and some girls in such a way that each boy gets Rs. 2 and each girl gets Rs. 4. The number of girls is

  1. 120

  2. 100

  3. 60

  4. 40

  5. None of these

Show answer
Correct Option: C
Explanation:

Let the number of girls be X. Then, 80 * 2 + X * 4 = 400 4 * X = 240 X = 60

Two pipes A and B can fill a tank in 6 hours. After working at it together for 2 hours, B is closed and A alone fills the remaining part in 8 hours. How many hours will B alone take to fill the tank?

  1. 12

  2. 16

  3. 8

  4. 4 hours

  5. None of these

Show answer
Correct Option: A
Explanation:

Part of tank filled by A and B in 2 hours = 2/6 = 1/3 So in 8 hours, part of the tank filled by A = 1 - 1/3 = 2/3 In 1 hour, part filled by A = 2/(3 * 8) = 1/12 Now, let B take X hours to fill the tank. So, (1/12) + (1/X) = 1/6 X = 12 hours

The number of girls in a class is 6 times the number of boys. Which of the following options cannot be the total number of children in the class?

  1. 28

  2. 30

  3. 42

  4. 49

  5. None of these

Show answer
Correct Option: B
Explanation:

Let the number of boys be X. Then, the number of girls = 6 * X Total number of children = X + 6 * X = 7 * X So, the total number of students should be a multiple of 7. 30 is not a multiple of 7. So, it cannot be the total number of children in the class.

If the numerator of a fraction is increased by 250% and the denominator is decreased by 50%, then the new fraction is 4/5. What was the original fraction?

  1. 4/35

  2. 1/5

  3. 4/25

  4. 12/35

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the original fraction be a/b. Then according to the question, (a + a * 250/100)/(b - b * 50/100) = 4/5 (3.5 * a)/(0.5 * b) = 4/5 a/b = 4/35

A cricket team won 4 more matches than they lost. If a win gives them 4 points and a loss deducts 2 points, then how many matches have they played in total if their score is 32 points? It is to be assumed that there are no draws.

  1. 8

  2. 32

  3. 20

  4. 12

  5. None of these

Show answer
Correct Option: C
Explanation:

Let the number of matches lost be X. Number of matches won = X + 4 So, 4 * (X + 4) - 2 * X = 32 X = 8 So, total number of matches = X + 4 + X = 8 + 4 + 8 = 20

A person bought 5 apples for Rs. 10 and sold 3 of them for Rs. 5. Find his gain or loss percent.

  1. 16.67% gain

  2. 16.67% loss

  3. 5% loss

  4. 40% loss

  5. None of these

Show answer
Correct Option: B
Explanation:

Cost price of 1 apple = 10/5 = Rs. 2  Selling price of 1 apple = Rs. 5/3   Loss = 2 - 5/3 = Re. 1/3 % loss = (1/3) * 100/2 = 100/6 = 16.67%

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