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Quantitative Aptitude

Description: Maths There are 15 questions on Quantitative Aptitude for the preparation of all competitive exams.
Number of Questions: 15
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Tags: Quantitative Aptitude Numerical Ability Direct Variation
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Manoj takes 30 seconds to cover a distance of 270 m on increasing his speed by 60%. If he travels at his original speed, how much time will he take to cover the same distance?

  1. 45 seconds

  2. 48 seconds

  3. 40 seconds

  4. 20 seconds

  5. None of these


Correct Option: B
Explanation:

Present speed of Manoj = 270/30 = 9 m/s Let his initial speed be x m/s. His increased speed: 1.6 x = 9/1.6 = 45/8 m/s So, time taken = 270/(45/8) = 48 sec

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, then the volume of the hall is

  1. 720 m3

  2. 900 m3

  3. 1200 m3

  4. 1800 m3

  5. None of these


Correct Option: C
Explanation:

Areas of floor and ceiling = 2lb = 2 * 15 * 12 = 360 m2  Area of four walls = 2(l+b)h = 2(15 + 12)h = 360 h = 20/3 m Volume = l * b * h = (15 * 12 * 20)/3 = 1200 m3

A can do a piece of work in 80 days. He works on it for 10 days and then, B alone finishes the remaining work in 49 days. In how much time will A and B, working together, finish the work?

  1. 31 days

  2. 30 days

  3. 33 days

  4. 40 days

  5. None of these


Correct Option: C
Explanation:

Work done by A in 10 days = 10/80 = 1/8 Remaining work = (1-(1/8)) = 7/8 Now, work will be done by B in 49 days. Whole work will be done by B in (49 * 8/7) = 56 days Therefore, A's one day's work = 1/80 B’s one day's work = 1/56(A + B)'s one day's work = 1/80 + 1/56 = 17/560 = 33 days Hence, both will finish the work in 33 days.

While finding the average of 9 consecutive numbers starting from X, a student interchanged the digits of the second number by mistake and got the average 8 more than the actual average. Find the value of X.

  1. 13

  2. 15

  3. 17

  4. 18

  5. None of these


Correct Option: D
Explanation:

Since the average is 8 more than the actual, the second number will increase by 72 (9 x 8) by interchanging the digits. If 'ab' is the second number, then 10a + b + 72 = 10b+ a, i.e. 9 (b - a) = 72b - a = 8 The possible number 'ab' is 19. Since the second number is 19, the first number is 18. So, X = 18

A, B and C complete a piece of work for Rs. 2000. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio 4 : 5 : 4, what is the share of A?

  1. Rs. 512

  2. Rs. 768

  3. Rs. 675

  4. Rs. 800

  5. None of these


Correct Option: A
Explanation:

Daily wages are in the ratio 4 : 5 : 4. Working days of A, B, C = 8, 9 and 12 Wages will be in the ratio 32 : 45 : 48. Share of A = 32/(24 + 45 + 48) × 2000 = Rs. 512

Three partners: A, B and C invested capital in the ratio 5 : 3 : 2 for time periods in the ratio 3 : 4 : 6. Find the ratio of their profits.

  1. 5 : 4 : 4

  2. 1 : 1 : 1

  3. 4 : 4 : 5

  4. Cannot be determined

  5. None of these


Correct Option: A
Explanation:

The ratio of profit distribution = 5 * 3 : 3 * 4 : 2 * 6 = 15 : 12 : 12 = 5 : 4 : 4

The difference between 90% and 85% of a number is 225. What is 90% of that number?

  1. 4000

  2. 4225

  3. 4500

  4. 4050

  5. None of these


Correct Option: D
Explanation:

(90% - 85%)x = 225 5% of x = 225 x = (225 * 100)/5 = 4500 90% of 4500 = 4050

A motorist travels a distance of 20 km at a speed of 55 km/h and travels at the speed of 65 km/h while returning. What is his average speed?

  1. 54.55 km/h

  2. 59.58 km/h

  3. 55.58 km/h

  4. 54.58 km/h

  5. None of these


Correct Option: B
Explanation:

Average speed = (2x × y) / (x+y) = (2 × 55 × 65) / (55 + 65) = 59.58 km/hr

The ratio among the angles of a quadrilateral is 6 : 4 : 5 : 3. If the greatest angle of a triangle is 30 less than 5/6th of the greatest angle of the quadrilateral and if another angle of triangle is 3/5th of the second largest angle of the quadrilateral, then find the third angle of the triangle.

  1. 50°

  2. 40°

  3. 60°

  4. 45°

  5. None of these


Correct Option: A
Explanation:

Largest angle of quadrilateral = (360o x 6) / 18 = 120o   Largest angle of triangle = (120o x 5) / 6 – 30o = 70o  Second largest angle of quadrilateral = (360o x 5)/18 = 100o  Second angle = (100o x 3) / 5 = 60o  Third angle of triangle = 180o - (70o + 60o) = 180o – 130o = 50o 

A group of 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m, then the rise in the water level in the tank will be

  1. 20 cm

  2. 25 cm

  3. 35 cm

  4. 50 cm

  5. None of these


Correct Option: B
Explanation:

Total volume of water displaced = (4 x 50) m3 = 200 m3  Rise in water level = 200/800 = 0.25 m = 25 cm

A sum of money was invested at a certain rate of simple interest for 3 years. If the rate had been 3% higher, the amount received would be Rs. 390 more. Find the sum invested.

  1. Rs. 4333

  2. Rs. 5430

  3. Rs. 5000

  4. Rs. 4400

  5. None of these


Correct Option: A
Explanation:

 R + 3(P x (R + 3) x 3/100) - (P x R x 3) /100 = 390 = 3PR + 9P - 3PR = 39000 = 9P = 39000 = P = 4333

A man sold an item for Rs. 6750 at a loss of 25%. What will be the selling price of the same item if he sells it at a profit of 20%?

  1. Rs. 10530

  2. Rs. 10800

  3. Rs. 10350

  4. Rs. 11340

  5. None of these


Correct Option: B
Explanation:

CP of the item = (6750 ×100)/75 = Rs. 9000 SP of the item = Rs. (9000 × 120)/100 = Rs. 10800

What will come in place of the question mark (?) in the following number series?

3 11 35 107 ?

  1. 242

  2. 256

  3. 296

  4. 323

  5. None of these


Correct Option: D
Explanation:

 ? = 107 x 3 + 2 = 323

What will come in place of the question mark (?) in the following number series?

2 8 ? 32 50

  1. 21

  2. 29

  3. 27

  4. 18

  5. None of these


Correct Option: D
Explanation:

? = 3 x 3 + 32 = 18

The ratio of milk to water in a mixture of 189 litres is 7 : 2. To make a new mixture containing milk and water in the ratio 3 : 2, the amount of water to be added is

  1. 46 litres

  2. 66 litres

  3. 56 litres

  4. 50 litres

  5. None of these


Correct Option: C
Explanation:

Quantity of milk in 189 litres of mixture = (7 x 189) / 9 = 147 litres Quantity of water = (189-147) litres = 42 litres Let x litres of water be mixed to get the required ratio. 3 : 2 = 147 / (42 + x) 3 / 2 = 3x + 126 294 = 3x 3x = 294 – 126 = 168 x = 168 / 3 = 56 litres

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