**TNPSC Aptitude and Mental Ability Study Materials:**

**Aptitude and Mental Ability questions** are more important for the TNPSC Group 2 Prelims Exam. You will get 25 marks from that Aptitude and Mental Ability portion. On this page, TNPSC Group 2, 2a, and Group 4 Aptitude and Mental Ability Books Study Materials questions with answers are uploaded. Go through **TNPSC Aptitude Shortcuts & tricks** in order to save your time in the prelims exam.

Students who are preparing for the Group exam concentrate more on the maths part. you will easily score more marks in the Mental Ability part. For students’ benefit, we upload aptitude and mental ability English and Tamil questions and answers in PDF for download. TNPSC aspirants can download and use it for the group prelims exam. kindly download TNPSC Maths PDF given below:

**TNPSC – Ratio and Proportion Notes:**

● A ratio is a comparison of two quantities.

● A ratio can be written as a fraction; ratios are mostly written in the simplest form.

● In the above example, the ratio of rice to water in terms of the number of cups

can be written in three different ways as 1 : 2 or 1/2 or 1 to 2.

**Properties of Ratio:**

● A ratio has no unit. It is a number. For example, the ratio of 8 km to 4 km is written

as 8 : 4 = 2 : 1 and not 2km : 1 km.

● The two quantities of a ratio should be of the same unit. The ratio of 4 km to 400 m

is expressed as (4 × 1000) : 400 = 4000 : 400 = 10 : 1

● Each number of the ratio is called a term.

● The order of the terms in a ratio cannot be reversed.

**Ratio and Proportion Question and Answers:**

1. The ratio of Rs.1 to 20 paise is __________.

(a) 1 : 5 (b) 1 : 2 (c) 2 : 1 **(d) 5 : 1**

2. The ratio of 1 m to 50 cm is __________.

(a) 1 : 50 (b) 50 : 1 **(c) 2 : 1** (d) 1 : 2

3. The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is ____________.

(a) 1 : 7 (b) 7 : 1 (c) 7 : 10 **(d) 10 : 7**

4. The ratio of the number of sides of a triangle to the number of sides of a rectangle is

(a) 4 : 3 **(b) 3 : 4** (c) 3 : 5 (d) 3 : 2

5. If Azhagan is 50 years old and his son is 10 years old then the simplest ratio between the age of Azhagan to his son is

(a) 10 : 50 (b) 50 : 10 **(c) 5 : 1** (d) 1 : 5

6. If 2 : 3 and 4 : ___ are equivalent ratios, then the missing term is

**(a) 6** (b) 2 (c) 4 (d) 3

7. An equivalent ratio of 4 : 7 is

(a) 1 : 3 (b) 8 : 15 (c) 14 : 8 **(d) 12 : 21**

8. Which is not an equivalent ratio of 2416?

(a) 9/6 (b) 18/12 (c) 15/10 **(d) 20/28**

9. If ₹1600 is divided among A and B in the ratio 3 : 5 then, B’s share is

(a) ₹480 (b) ₹800 **(c) ₹1000** (d) ₹200

10. Which of the following ratios are in proportion?

(a) 3 : 5 , 6 : 11 (b) 2 : 3, 9 : 6 **(c) 2 : 5, 10 : 25** (d) 3 : 1, 1 : 3

11. If the ratios formed using the numbers 2, 5, x, 20 in the same order are in proportion, then ‘x’ is

(a) 50 (b) 4 (c) 10 **(d) 8**

12. If 7 : 5 is in proportion to x : 25, then ‘x’ is

(a) 27 (b) 49** (c) 35** (d) 14

13. If a barbie doll costs ` 90, then the cost of 3 such dolls is Rs.____.

(a) 260 **(b) 270 **(c) 30 (d) 93

14. If 8 oranges cost ` 56, then the cost of 5 oranges is ` ___________.

(a) 42 (b) 48 **(c) 35** (d) 24

15. If a man walks 2 km in 15 minutes, then he will walk _________km in 45 minutes.

(a) 10 (b) 8 **(c) 6** (d) 12

16. 12 cows can graze a field for 10 days. 20 cows can graze the same field for_____ days.

(i) 15 (ii) 18 **(iii) 6** (iv) 8

17.4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _______ days.

(i) 7 **(ii) 8** (iii) 9 (iv) 10

18. Thendral saved one fourth of her salary. Her savings percentage is

(i) 3/4 % (ii) 1/4 % **(iii) 25%** (iv) 1%

19. Kavin scored 15 out of 25 in a test. The percentage of his marks is

**(i) 60% **(ii) 15% (iii) 25% (iv) 15/25

20. 0.07% is

(i) 7/10 (ii) 7/100 (iii) 7/1000 **(iv) 7/10,000**

21. Decimal value of 142.5% is

**(i) 1.425** (ii) 0.1425 (iii) 142.5 (iv) 14.25

22.The percentage of 0.005 is

(i) 0.005% (ii) 5% **(iii) 0.5%** (iv) 0.05%

23.The percentage of 4.7 is

(i) 0.47% (ii) 4.7% (iii) 47% **(iv) 470%**

24. The interest for a principle of Rs 4,500 which gives an amount of Rs 5,000 at end of certain period is

**(i) Rs 500** (ii) Rs 200 (iii)Rs 20% (iv) Rs 15%

25. Which among the following is the simple interest for the principle of Rs 1,000 for one year at the rate of 10% interest per annum?

(i) Rs 200 (ii) Rs 10 **(iii) RS 100** (iv) Rs 1,000

26. Which among the following rate of interest yields an interest of Rs 200 for the principle of Rs 2,000 for one year.

**(i) 10%** (ii) 20% (iii) 5% (iv) 15%

**II. Fill in the blanks:**

(i) If the cost of 8 apples is Rs 56 then the cost of 12 apples is ________. **Ans: 84**

(ii) If the weight of one fruit box is 3 1/2 kg, then the weight of 6 such boxes is______. **Ans: 21kg**

(iii) A car travels 60 km with 3 liters of petrol. If the car has to cover the distance of 200 km, it requires _______ liters of petrol. **Ans: 10**

(iv) If 7 m cloth costs ₹294, then the cost of 5 m of cloth is ______. **Ans: Rs. 210**

(v) If a machine in a cool drinks factory fills 600 bottles in 5 hrs, then it will fill ______ bottles in 3 hours. **Ans: 360**

**II. Say True or False:**

(i) Distance traveled by bus and time taken is in direct proportion. **Ans: True**

(ii) Expenditure of a family to the number of members of the family are in direct proportion. **Ans: True**

(iii) Number of students in a hostel and consumption of food are not in direct proportion. **Ans: False**

(iv) If Mallika walks 1 km in 20 minutes, then she can cover 3 km in 1 hour. **Ans: True**

(v) If 12 men can dig a pond in 8 days, then 18 men can dig it in 6 days. **Ans: False**

(VI) Depreciation value is calculated by the formula P 1-r/100

(VII) If the present population of a city is P and it increases at the rate of r% p.a, then the population n years ago would be P 1+r/100

(VIII) The present value of a machine is Rs 16800. It depreciates at 25% p.a. Its worth after 2 years is Rs 9450.

(IX) The time taken for Rs 1000 to become Rs 1331 at 20% p.a compounded annually is 3 years.

(X) The compound interest on Rs 16000 for 9 months at 20% p.a, compounded quarterly is Rs 2522.

**III. Objective type questions:**

1. If the cost of 3 books is Rs 90, then find the cost of 12 books.

(i) Rs 300 (ii) Rs 320 **(iii) Rs 360** (iv) Rs 400

2. If Mani buys 5kg of potatoes for Rs 75 then he can buy ______kg of potatoes for Rs 105.

(i) 6 **(ii) 7** (iii) 8 (iv) 5

3. 35 cycles were produced in 5 days by a company then______ cycles will be produced in 21 days.

(i) 150 (ii) 70 (iii) 100 **(iv) 147**

4. An aircraft can accommodate 280 people in 2 trips. It can take ______trips to take 1400 people.

(i) 8 **(ii) 10** (iii) 9 (iv) 12

5. Suppose 3 kg. of sugar is used to prepare sweets for 50 members, then ____ kg. of sugar is required for 150 members.

**(i) 9** (ii) 10 (iii) 15 (iv) 6

6. 16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _______ minutes. **Ans: 32**

7. If 40 workers can do project work in 8 days, then_______ workers can do it in 4 days. **Ans: 80**

**IV. Fill in the blanks:**

(i) If 30% of x is 150, then x is _________.

(ii) 2 minutes is _________% to an hour.

(iii) If x % of x = 25, then x = ________.

(iv) In a school of 1400 students, there are 420 girls. The percentage of boys in the school is ________.

(v) 0.5252 is ________% .

(Vi) Loss or gain percentage is always calculated on the__________.

(Vii) A mobile phone is sold for Rs 8400 at a gain of 20%. The cost price of the mobile phone is________.

(Viii) An article is sold for Rs 555 at a loss of 7 1 2 %. The cost price of the article is ________.

(IX) The marked price of a mixer grinder is Rs 4500 is sold for ₹4140 after discount. The rate of discount is __________.

(X) The total bill amount of a shirt costing Rs 575 and a T-shirt costing Rs 325 with GST of 5 % is_______.

(XI) The compound interest on Rs 5000 at 12% p.a for 2 years compounded annually is ____________.

(XII) The compound interest on Rs 8000 at 10% p.a for 1 year, compounded half yearly is____________.

(XIII) The annual rate of growth in the population of a town is 10%. If its present population is 26620, the population 3 years ago was_________.

(XIV) The amount of the compound interest is calculated quarterly, is found using the formula __________.

(XV) The difference between the S.I and C.I for 2 years for a principal of Rs 5000 at the rate of interest 8% p.a is ___________.

**V. Rewrite each underlined part using percentage language.**

(i) One-half of the cake is distributed to the children.

(ii) Aparna scored 7.5 points out of 10 in a competition.

(iii) The statue was made of pure silver.

(iv) 48 out of 50 students participated in sports.

(v) Only 2 persons out of 3 will be selected in the interview.

**Objective Type Questions:**

1. 12% of 250 litres is the same as ________of 150 litres.

(a) 10% (b) 15% (c) 20% (d) 30%

2.If three candidates A, B and C is a 3 school election got 153,245 and 102 votes respectively, the percentage of votes for the winner is___________.

(a) 48% (b) 49% (c) 50% (d) 45%

3. 15% of 25% of 10000 =___________.

(a) 375 b) 400 c) 425 d) 475

4. When 60 is subtracted from 60% of a number to give 60, the number is

(a) 60 (b) 100 (c) 150 (d) 200

5.If 48% of 48 = 64% of x , then x =

(a) 64 (b) 56 (c) 42 (d) 36

6. A fruit vendor sells fruits for Rs 200 gaining Rs 40. His gain percentage is

(a) 20% (b) 22% (c) 25% (d) 16 2/3 %

7. By selling a flower pot for Rs 528, a woman gains 20%. At what price should she sell it to gain 25%?

(a) Rs 500 (b) Rs 550 (c) Rs 553 (d) Rs 573

8. A man buys an article for Rs 150 and makes overhead expenses which are 12% of the cost price. At what price must he sell it to gain 5%?

(a) Rs 180 (b) Rs 168 (c) Rs 176.40 (d) Rs 85

9. The price of a hat is Rs 210. What is the marked price of the hat if it is bought at a 16% discount?

(a) Rs 243 (b) Rs 176 (c) Rs 230 (d) Rs 250

10. The single discount which is equivalent to two successive discounts of 20% and 25% is

(a) 40% (b) 45% (c) 5% (d) 22.5%

11. The number of conversion periods, if the interest on a principal is compounded every two months is___________.

(a) 2 (b) 4 (c) 6 (d) 12

12. The time taken for Rs 4400 to become Rs 4851 at 10%, compounded half-yearly is _______.

(a) 6 months (b) 1 year (c) 1 12 years (d) 2 years

13. The cost of a machine is Rs 18000 and it depreciates at 16 2/3 % annually. Its value after 2 years will be___________.

(a) Rs 12000 (b) Rs 12500 (c) Rs 15000 (d) Rs 16500

14. The sum which amounts to Rs 2662 at 10% p.a in 3 years compounded yearly is_______.

(a) Rs 2000 (b) Rs 1800 (c) Rs 1500 (d) Rs 2500

15. The difference between simple and compound interest on a certain sum of money for 2 years at 2% p.a is ₹1. The sum of money is__________ .

(a) Rs 2000 (b) Rs 1500 (c) Rs 3000 (d) Rs 2500