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Quantitative Ability

Description: mcq
Number of Questions: 20
Created by:
Tags: apti Profit and Loss Applications of Percentages (Profit and Loss) Percentages Area of 2-D Figures Arithmetic Ratio/Proportion and Variation Ratio/Proportion & Variation
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In a class of 50 students, 30 students have 40 pencils each and 20 students have 60 pencils each. Find the average number of pencils that a student has.

  1. 50

  2. 48

  3. 40

  4. 80

  5. None of these

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Correct Option: B
Explanation:

Average = (30 * 40 + 20 * 60)/50 = 48

After a discount of 35%, an article is sold at Rs. 15,600. What is its marked price?

  1. Rs. 5460

  2. Rs. 44571.43

  3. Rs. 24000

  4. Rs. 15,600

  5. None of these

Show answer
Correct Option: C
Explanation:

Let the marked price be X. Then, X * 65/100 = 15600 X = 24000 rupees This answer is correct.

The numerator of a fraction is decreased by 25% and the denominator is increased by 150%. If the new fraction is 9/20, then find the original fraction.

  1. 3/2

  2. 9/10

  3. 1/6

  4. 3/40

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the original fraction be n/p. Then, according to the question, (0.75*n)/(2.5*p) = 9/20 n/p = 3/2

If a shopkeeper gives successive discounts of 20%, 10% and 10% on a luxury good, then what is the net percentage of discount offered by him?

  1. 35.2%

  2. 40%

  3. 13.33%

  4. 3.52%

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the price be 100 rupees. Then, after 20% discount, price = 80 rupees Now, again 10% discount, price = 80 - (80*10/100) = 72 rupees Now, again 10% discount, price=72 - (72*10/100) = 64.8 rupees So, total discount = 35.2 rupees Answer = 35.2% discount Hence, this option is correct.

If the length of a rectangle is decreased by 30% and the breadth is increased by 50%, then find the change in area of the rectangle.

  1. 20% increase

  2. 80% increase

  3. 5% decrease

  4. 5% increase

  5. None of these

Show answer
Correct Option: D
Explanation:

Let the length be l and the breadth be b. Original area = l * b Now, new length = 0.7 * l and new breadth = 1.5 * b So, new area = (0.7 * 1.5 * l * b) = 1.05 * l * b Change in area = 5%(increase) Hence, this option is correct.

A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 2 hours to row to a place and come back, how far is the place?

  1. 4.8 km

  2. 12 km

  3. 48 km

  4. 10 km

  5. None of these

Show answer
Correct Option: A
Explanation:

Speed downstream = (5 + 1) = 6 kmph Speed upstream = (5 - 1) = 4 kmph Let the distance be x. Then, (x/6) + (x/4) = 2 2*x + 3*x = 24 x = 4.8 km

A boat running downstream covers a distance of 20 km in 2 hours, while it takes the boat 4 hours to cover the same distance while going upstream. What is the speed of the boat in still water?

  1. 5 kmph

  2. 15 kmph

  3. 2.5 kmph

  4. 7.5 kmph

  5. None of these

Show answer
Correct Option: D
Explanation:

Speed while going downstream = (20/2) kmph = 10 kmph Speed while going upstream = (20/4) kmph = 5 kmph So, the speed of the boat in still water = (10 + 5)/2 = 7.5 kmph Hence, this option is correct.

Mr. Zen spends 40% of his money on food, 30% on transport and 15% on luxury items. If he stil has 3000 rupees left, what was the total amount with him initially?

  1. Rs. 3529.41

  2. Rs. 20000

  3. Rs. 17000

  4. Rs. 10000

  5. None of these

Show answer
Correct Option: B
Explanation:

Savings = 100 - (40 + 30 + 15) = 15% Now, let the total money with him be Y. Then, Y*15/100 = 3000 Y = 20000 rupees Hence, this option is correct.

In how many different ways can the letters of the word 'RUMOUR' be arranged?

  1. 360

  2. 720

  3. 180

  4. 2880

  5. None of these

Show answer
Correct Option: C
Explanation:

Required number of ways = 6! / (2! * 2!) = 180 Hence, this option is correct.

The speed of a boat in still water is 30 kmph and the rate of current is 6 kmph. The distance travelled downstream in 12 minutes is

  1. 7.2 km

  2. 432 km

  3. 4.8 km

  4. 6 km

  5. None of these

Show answer
Correct Option: A
Explanation:

Speed downstream = (30 + 6) = 36 kmph Time = 12 min = (12/60) hours = 1/5 hours Distance = 36/5 = 7.2 km Hence, this option is correct.

A man's speed with the current is 17 km/hr and the speed of the current is 3 km/hr. The man's speed against the current is

  1. 20 km/hr

  2. 14 km/hr

  3. 11 km/hr

  4. 10 km/hr

  5. None of these

Show answer
Correct Option: C
Explanation:

Man's speed in still water = (17 - 3) km/hr = 14 km/hr Now, man's speed against the current = (14 - 3) km/hr = 11 km/hr Hence, this option is correct.

In how many ways can a committee consisting of 5 men and 5 women be formed with 8 men and 9 women?

  1. 77792

  2. 7056

  3. 14400

  4. 182

  5. None of these

Show answer
Correct Option: B
Explanation:

Required number of ways = 8C5*9C5                                                = 56*126                                                = 7056

 

A person incurs a loss of 5% by selling a watch for Rs. 1140. At what price should the watch be sold to earn a profit of 5%?

  1. Rs. 1260

  2. Rs. 1200

  3. Rs. 1083

  4. Rs. 1197

  5. None of these

Show answer
Correct Option: A
Explanation:

Cost price = 1140*100/95 = 1200 5% profit = 1200*5/100 = 60 So, the new selling price = 1200 + 60 = 1260 Hence, this option is correct.

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red is

  1. 2/91

  2. 89/91

  3. 4/91

  4. 1/3

  5. None of these

Show answer
Correct Option: A
Explanation:

Probability of all the three balls being red  = 5C3/15C3                                                                              = 10/455                                                                              = 2/91 Hence, this option is correct.

A shopkeeper takes 20% profit on his goods. He lost 20% goods during theft. His loss or gain percent is

  1. 0%

  2. 4% gain

  3. 40% gain

  4. 4% loss

  5. None of these

Show answer
Correct Option: D
Explanation:

This option is correct.

A sum of money at simple interest amounts to Rs. 870 in 3 years and Rs. 960 in 4 years. What was the initial sum of money?

  1. Rs. 1830

  2. Rs. 915

  3. Rs. 600

  4. Rs. 360

  5. None of these

Show answer
Correct Option: C
Explanation:

This option is correct.

In a college, the ratio of the numbers of boys to girls is 8 : 5. If there are 320 girls, the total number of the students in the college is

  1. 832

  2. 512

  3. 520

  4. 192

  5. None of these

Show answer
Correct Option: A
Explanation:

Number of boys = 320*8/5 = 512 So, number of total students = 512 + 320 = 832 Hence, this option is correct.

The cost price of 24 articles is equal to the selling price of 21 articles. Find the gain or loss percentage.

  1. 12.5% gain

  2. 3% gain

  3. 14.3% loss

  4. 14.3% gain

  5. None of these

Show answer
Correct Option: D
Explanation:

3*100/21 = 14.3%

1200 boys and 800 girls are examined in a test. 40% of the boys and 30% of the girls pass. The percentage of the students who failed is

  1. 36%

  2. 64%

  3. 35%

  4. 66%

  5. None of these

Show answer
Correct Option: B
Explanation:

Number of boys who passed = 1200*40/100 = 480 Number of girls who passed = 800*30/100 = 240 Total number of students who passed = 480 + 240 = 720 Total number of students = 1200 + 800 = 2000 Percentage of passed students = 720*100/2000 = 36% So, the percentage of students who failed = (100 - 36)% = 64% Hence, this option is correct.

The ratio of the cost price and the selling price is 4 : 5. The profit or loss percentage is

  1. 25% profit

  2. 20% profit

  3. 25% loss

  4. 20% loss

  5. None of these

Show answer
Correct Option: A
Explanation:

Let the c.p. be Rs.100.

Then, s.p. = c.p.*5/4 = 100*5/4 = 125

So, clearly the % profit = 25%

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