## Sample Aptitude Questions

**1.A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in the ratio 4: 5. How many liters of the latter must be mixed with 3litres of the former so that the resultant mixture may contain equal quantities of wine and water?**

A.1 2/3 litre

B.2/5 litre

C.3 3/4 litre

D.4 1/2 litre

E.None of these

**Answer & Explanation**

**Answer : Option E.**

By applying allegation and mixture

So we got ratio of two mixture = 5:9

It means 5 unit = 3 liters

We get 9 unit = 3/5 ×9 = 27/5 liters

**2.A trader sells two bullocks for Rs. 8,400 each, neither losing nor gaining in total. If he sold one of the bullocks at a gain of 20%, the other is sold at a loss of**

A.20%

B.18 2/9%

C.14 2/7%

D.21%

E.None of these

**Answer & Explanation**

**Answer : Option A.**

A trader sells two bullocks for Rs. 8,400 each, neither losing nor gaining in total.

As he sold one bullocks at a gain of 20%, it means 120% of C.P = 8400

We get C.P of one bullocks = 7000

So gains on one bullocks = Rs 1400

Other bullocks is sold at lose and there is neither losing nor gaining in total

So loss on 2nd bullocks = 1400/7000×100 =20%

**3.Two trains, A and B, start from stations X and Y towards each other, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet if train A is moving at 45 km/hr., then the speed of the train B is**

A.60 km/hr

B.64.8 km/hr

C.54 km/hr

D.37.5 km/hr

E.None of these

**Answer & Explanation**

**Answer : Option C.**

Speed1 : Speed2 = √Time2 : √Time1

45km/h :speed2 = √10/3 : √24/5

We get speed2 = 54km/hr

**4.Out of his total income, Mr. Kapoor spends 20% on house rent and 70% of the rest on house hold expenses. If he saves Rs 1,800 what is his total income (in rupees)?**

A.Rs 7,800

B.Rs 7,000

C.Rs 8,000

D.Rs 7,500

E.None of these

**Answer & Explanation**

**Answer : Option E.**

Let the total income of Mr. Kapoor be 100 units.

As Mr. Kapoor spends 20% on house rent and 70% of the rest on house hold expenses.

So he spends 76% of his income.

It means 24 unit income = Rs 1,800

Total income = 1,800/24 ×100 = Rs. 7500

**5.A can do a piece of work in 8 days which B can destroy in 3 days. A has worked for 6 days, during the last 2 days of which B has been destroying. How many days must A now work alone to complete the work?**

A.7 days

B.7 2/3 days

C.7 1/3 days

D.8 days

E.None of these

**Answer & Explanation**

**Answer : Option C.**

A can do a piece of work in 8days which B can destroy in 3 days.

So let the total work be 24 units.

So unit contributed by A and B in one day is 3 units and -8 units respectively .

A has worked for 6 days, during the last 2 days of which B has been destroying.

So total units completed in 6 days = 6×3 + 2× (-8) = 2 units.

So remaining 22 units is done by A alone with efficiency of 3 units per day.

So number of days required to complete the work = 22/3 days

**6.A garrison of 750 men has provisions for 20 weeks. If at the end of 4 weeks, they are re-inforced by 450 men, how long will the provision last?**

A.8 weeks

B.12 weeks

C.14 weeks

D.15 weeks

E.10 weeks

**Answer & Explanation**

**Answer : Option E.**

750 * 20 = 750 * 4 + 1200 * W => W = 10 weeks

**7.Bill, Simon, and John are brothers, given Simon is the eldest. Bill is as many years younger than one brother as he is older than the other. Simon is 7 years younger than twice the age of John. John is 5 years older than half the age of Bill. What is the sum of the ages of Bill, Simon and John?**

A.12

B.24

C.48

D.Can’t say

**Answer & Explanation**

**Answer : Option C.**

S – B = B – J J = B/2 + 5. S = 2J – 7.

S = B + 10 – 7 = B + 3.

J = + 5. 2S = B + 10. + 5 + B + 3 = 2B. = 8. B = 16, S = 19, J = 13. So B + S + J = 16 + 19 + 13 =48.

**8.The cost price of item B is Rs. 150/- more than the cost price of item A, Item A was sold at a profit of 10% and Item B was sold at a loss of 20%. If the respective ratio of selling price of items A and B is 11:12, what is the cost price of item B?**

A.Rs. 450/-

B.Rs. 420/-

C.Rs. 400/-

D.Rs. 350/-

E.Rs. 480/-

**Answer & Explanation**

**Answer : Option A.**

Let us assume cost price of A= X

So that Cost price of B= X+150.

SP of A= X*1.1

SP of B=(X+150)*0.8

Given that

SPA: SPB

11:12

So that 1.1X/(X+150)*0.8= 11/12

X=300

CP of B= 300+150=450

Answer is 450.

**9.The number of ways in which 7 boys and 8 girls can be seated in a row so that they are alternate**

A.203121800

B.29030400

C.3628800

D.203212800

E.3628800

**Answer & Explanation**

**Answer : Option D.**

Reqd. number of ways = 7! × 8! = 203212800.

**10.There are 13 married couples, 5 single men and 7 single women in a party. Every man shakes hand with every woman once, but no one shakes hand with his wife. How many handshakes took place in the party?**

A.247

B.347

C.360

D.191

E.100

**Answer & Explanation**

**Answer : Option B.**

Any single man will have = 13 + 7 = 20 options.

Total number of handshakes by single men = 20 × 5= 100. Any married man will have 12 + 7 = 19 options. Total number of handshakes by married men = 19 × 13 = 247. Total number = 247 + 100 = 347.