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Numerical Ability

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Number of Questions: 25
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Tags: Math MBA Math Preparation Numerical Aptitude Test Aptitude Test MBA Aptitude Test B.Ed M.Ed Mean (Average) Profit and Loss Mixtures and Alligations Mixtures and Alligation Simple and Compound Interest
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What is average of five prime number just greater than 30?

  1. 40

  2. 39.8

  3. 39.9

  4. 39.7

  5. None of these


Correct Option: B
Explanation:

(Five prime numbers greater than 30 are-31, 37, 41, 43 & 47Average = 1/5 (31 + 37 + 41 + 43 + 47) = 1/5 X 199 = 39.8)

The average of 50 numbers is 38, if two of the numbers, 45 & 55, are discarded, what is the average of the remaining numbers?

  1. 37.5

  2. 37

  3. 38

  4. 38.5


Correct Option: A
Explanation:

(Average of the remaining 48 numbers = 50 X 38 - 45 - 5548 = (1900 - 100) ÷ 48 = 1800/48 = 37.5)

If mangoes are bought at 15 for a rupee, how many must be sold to gain 25%?

  1. 15 for a rupee

  2. 16 for a rupee

  3. 12 for a rupee

  4. 11 for a rupee

  5. 10 for a rupee


Correct Option: C
Explanation:

(C. P. of one mango = Rs. 1/15S. P. of one mango = 125% of C. P. of one mango = 125% X 1/15 of a rupee= 1/12 of a rupee. Therefore, 12 for a rupee)

If 10% is lost by selling a book for Rs. 225, at what price should it be sold so as to gain 10%?

  1. Rs. 200

  2. Rs. 215

  3. Rs. 235

  4. Rs. 275

  5. None of these


Correct Option: D
Explanation:

(90% of cost price = 225 then;110% of cost price = 225/90 X 110 = Rs.275.)

1 litre of water is added to 5 litres of mixture having 20% alcohol in it. What is the quantity of alcohol in the new mixture?

  1. 50%

  2. 25%

  3. 12%

  4. 50/3%

  5. None of these


Correct Option: D
Explanation:

(Alcohol is 20% of 5 litres, i. e. one litre. When 1 litre water is added, mixture becomes 6 litres, in which alcohol is 1 litre. Therefore, strength of alcohol = 1/6 X 100% = 50/3%)

The cost price of an article is 80% of its marked price. The dealer allows 15% discount on the market price. Find the gain or loss percent.

  1. 5%

  2. 6%

  3. 7%

  4. 8%

  5. None of these


Correct Option: E
Explanation:

(If marked price is Rs.100, then cost price is Rs.80 & selling price is Rs.85 Therefore, gain percent = 5/80 X 100% = 6.25%)

A tradesman by means of his false balance defrauds to the extent of 10% in buying the goods as well as by selling the goods. What percent does he gain on his outlay by means of his dishonesty?

  1. 20%

  2. 24%

  3. 21%

  4. 22.22%

  5. None of these


Correct Option: C
Explanation:

(Using the short-cut: Gain% = 2x + x% of x = 2 X 10 + 10% of 10 = 20 + 1 = 21% OR If he starts with Rs.100, he gets goods worth Rs.110. By selling goods worth Rs.110, he getsRs.110 X 110% = Rs.121. Therefore his gain is 21%)

How many toffees at 5 for 24 paise should be mixed with 300 toffees at 6 for 42 paise so that they should all be worth 72 paise a dozen?

  1. 250

  2. 220

  3. 230

  4. 240

  5. None of these


Correct Option: A
Explanation:

(Cost of one toffee of first kind = 24/5 p Cost of one toffee of second kind = 42/6 = 7p Cost of one toffee of mixture = 72/12 = 6p By method of Alligation1st kind 2nd kind 24/5 76(7 - 6) (6 - 24/5) Ratio = (7 - 6): (6 - 24/5) = 1:6/5 = 5:6. Therefore, number of toffees of first kind = 5/6 X 300 = 250)

Three equal glasses are mixed with milk & water in the ratio 2 : 3, 4 : 1 & 3 : 2 respectively. These glasses are mixed together. What is the ratio of milk & water in the new mixture?

  1. 3 : 4

  2. 5 : 4

  3. 3 : 2

  4. 4 : 5

  5. None of these


Correct Option: C
Explanation:

(Since the total part of milk & water in each is same, we add the part of milk & water separately. Required ratio is = (2 + 4 + 3) : (3 + 1 + 2) = 9 : 6 = 3:2)

The average monthly salary per head of the entire staff of a school is Rs. 3000. The average salary per head of 5 senior teachers is Rs. 3700 & that of the junior teachers is Rs. 2300. Find the number of junior teachers in the school.

  1. 4

  2. 5

  3. 3

  4. 2

  5. 7


Correct Option: B
Explanation:

(If x be the number of junior teachers, then, 5 X 3700 + x X 2300 = (5 + x) X 3000= 18500 + 2300x = 15000 + 3000x = 700x = 3500 or x = 5)

If the compound interest on a certain sum of money at 10% per annum is Rs. 680 for third year, what it will be in the forth year?

  1. Rs. 658

  2. Rs. 698

  3. Rs. 728

  4. Rs. 748

  5. None of these


Correct Option: D
Explanation:

(The compound interest for the forth year = Rs. 680 + 10% of Rs. 680 = Rs. (680 + 68) = Rs. 748)

A sum of money doubles itself at a certain rate of simple interest in 7.5 years. In how many years will it double at the same rate?

  1. 21

  2. 22

  3. 21.5

  4. 22.5

  5. 23


Correct Option: D
Explanation:

(We want to know that if the sum of money, say, Rs.100 becomes Rs.200 in 7.5 years, then in how many years it will become Rs.400. The simple interest earned is Rs.300 & this will amount to in 3 X 7.5 years, i. e. 22.5 years)

In how many years the sum of money at 10% simple interest, will be more by 60%?

  1. 5 years

  2. 7 years

  3. 4 years

  4. 8 years

  5. 6 years


Correct Option: E
Explanation:

(If the principal be Rs.100, S. I. is Rs.60 & rate is 10%Therefore, time = I X 100 = 60 X 100 = 6 years) P X R 100 X 10

Within how many years, a sum of money at a certain rate of compound interest shall become eight times if it doubles in 7 year?

  1. 21

  2. 22

  3. 23

  4. 24

  5. 25


Correct Option: A
Explanation:

(Whatever be the sum, it doubles in 7 years; in another 7 years, it will become 4 times & again in 7 years it becomes 8 times. Hence in 21 years, the sum will be 8 times.)

Amita borrowed Rs. 10,000 at simple interest for 2 years at 10% & she lent it to her friend immediately for the same time & at the same rate at compound interest. How much money will she gain?

  1. 200

  2. 100

  3. 150

  4. 250

  5. 175


Correct Option: B
Explanation:

(S.I. for two years = Rs. 10,000 X 2 X 10 = Rs. 2000  100 Interest for first year = Rs. 10000 X 1 X 10 = Rs.1000   100 Interest for second year = Rs. 1000 + 10% of Rs. 1000 = Rs. 1100 Total interest for 2 years (C.I.) = Rs. 2100 Difference = Rs. 100)

If the simple interest on a certain sum of money for third year at 5% per annum is Rs. 840, what is the interest for the next year?

  1. Rs. 840

  2. Rs. 1680

  3. Rs. 1080

  4. Rs. 980

  5. None of these


Correct Option: A
Explanation:

(No interest is earned on Rs. 840 since it is the simple interest, i. e. simple interest remains the same. Hence no change.)

A cistern is supported by two pipes. One of them can fill it in 10 minutes whereas the other can empty it in 12 minutes. The cistern is empty & both the pipes are opened at the same time. When will the cistern be full?

  1. 1 hour 10 minutes

  2. 1 hour 12 minutes

  3. 1 hour 8 minutes

  4. 1 hour

  5. None of these


Correct Option: D
Explanation:

(Part of the cistern filled in one minute == 1/10 - 1/12 = 6 - 5/60 = 1/60 Therefore, the cistern is full in 60 minutes or in an hour)

Salim can do a piece of work in 20 days whereas his friend Akram can do it little faster & both of them finish it in 7.5 days. In how many days will Akram do it alone?

  1. 10 days

  2. 13 days

  3. 12 days

  4. Data inadequate


Correct Option: C
Explanation:

(Work done by both in one day = 1 ÷ 7.5 = 2/15 Work done by Salim in one day = 1/20. Therefore, work done by Akram in one day = 2/15 - 1/20 = 8 - 3/60 = 5/60 = 1/12. Hence Akram alone can do the work in 12 days.)

A certain work can be finished by 2 men & 3 boys in 5 days whereas 3 men & 2 boys can do it in 4 days. Compare the ratio of the work done by a man with that of a boy.

  1. 4 : 1

  2. 2 : 7

  3. 8 : 3

  4. 7 : 2

  5. None of these


Correct Option: D
Explanation:

(2 men + 3 boys can do a job in 5 days, so in one day-5 X (2 men + 3 boys) can do it in one day. Similarly, 4 X (3 men + 2 boys) can do it in one day. Therefore, 5 X (2 men + 3 boys) = 4 X (3 men + 2 boys)2 men = 7 boys. Hence, work ratio = 7 : 2)

If a train, 120 meters long passes, through the platform in 20 seconds with a speed of 90 kmph, what is the length of platform?

  1. 350

  2. 380

  3. 500

  4. 830

  5. None of these


Correct Option: B
Explanation:

(Distance travelled in 20 seconds = (20 X 5/18 X 90) m = 500mTherefore, length of platform = (500 - 120) m = 380 m)

Two runners start running from the same point at the rates 10 kmph & 12 kmph. If one of them takes 8 minutes less than the other to reach the winning post, how far is the winning post?

  1. 5 km

  2. 6 km

  3. 7 km

  4. 8 km

  5. 9 km


Correct Option: D
Explanation:

(If x km be the distance required, then, x/10 - x/12 = 8/60 Hence, x = 8 km)

Two trains start from Amritsar & Delhi towards each other at 07.00 am, with speeds of 70 kmph & 90 kmph. They pass through each other completely at 11.00 am the same day. How far are the two stations?

  1. 500 km

  2. 600 km

  3. 630 km

  4. 640 km

  5. 650 km


Correct Option: D
Explanation:

(Two trains are meeting after 4 hours. The relative speed of two trains is (70 + 90) km i. e. 160 kmph. Therefore, Distance = (4 X 160) km = 640 km.)

Directions: What should be come in the place of question mark.

√100/? = 4/40

  1. 100

  2. 1000

  3. 10

  4. 40

  5. 20


Correct Option: A
Explanation:

(√100/? = 4/40 = 10/? = 1/10. Therefore, ? = 10 X 10 = 100)

Directions: What should be come in the place of question mark.

752 + 3147 + 1008 + 29 = ?

  1. 4946

  2. 5936

  3. 4935

  4. 5946

  5. None of these


Correct Option: E
Explanation:

(752 + 3147 + 1008 + 29 = 4936)

Directions: What should be come in the place of question mark.

12.5% of 192 = 50% of ?

  1. 48

  2. 96

  3. 24

  4. 12

  5. 36


Correct Option: A
Explanation:

(192/100 X 12.5 = 24 which is 50% of 48)

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