# (Paper) Mathematics Preparation Test Series | Bank PO, Bank Clerk, MBA, SSC, Railway Recruitment Board CAT etc.

**Paper : Mathematics Preparation Test Series
**

**[For :Bank PO, Bank Clerk, MBA, Staff Selection Commission, Railway Recruitment Board TC/CC/ASM/CA/TA , CAT , UPSC ETC Exam]**

__Average__
**
1. The average wages of a worker during a fortnight
comprising 15 consecutive working days was Rs.90 per day. During the first 7
days, his average wages was Rs.87/day and the average wages during the last 7
days was Rs.92 /day. What was his wage on the 8th day?
**
1. 83

2. 92

3. 90

4. 97

**Ans :**D

**
2. The average of 5 quantities is 6. The average of 3 of them is 8. What is the
average of the remaining two numbers?
**
1. 6.5

2. 4

3. 3

4. 3.5

**Ans :**C

**
3. The average temperature on Wednesday, Thursday and Friday was 250. The
average temperature on Thursday, Friday and Saturday was 240. If the temperature
on Saturday was 270, what was the temperature on Wednesday?
**
1. 240

2. 210

3. 270

4. 300

**Ans :**D

**
4. The average age of a group of 12 students is 20years. If 4 more students join
the group, the average age increases by 1 year. The average age of the new
students is
**
1. 24

2. 26

3. 23

4. 22

**Ans :**A

**
5. When a student weighing 45 kgs left a class, the average weight of the
remaining 59 students increased by 200g. What is the average weight of the
remaining 59 students?
**
1. 57 kgs

2. 56.8 kgs

3. 58.2 kgs

4. 52.2 kgs

**Ans :**A

**
6. Three math classes: X, Y, and Z, take an algebra test.
**
The average score in class X is 83.

The average score in class Y is 76.

The average score in class Z is 85.

The average score of all students in classes X and Y together is 79.

The average score of all students in classes Y and Z together is 81.

**What is the average for all the three classes?
**
1. 81

2. 81.5

3. 82

4. 84.5

**Ans :**B

**
7. The average weight of a class of 24 students is 36 years. When the weight of
the teacher is also included, the average weight increases by 1kg. What is the
weight of the teacher?
**
1. 60 kgs

2. 61 kgs

3. 37 kgs

4. None of these

**Ans :**B

**
8. The average of 5 quantities is 10 and the average of 3 of them is 9. What is
the average of the remaining 2?
**
1. 11

2. 12

3. 11.5

4. 12.5

**Ans :**C

**
9. The average age of a family of 5 members is 20 years. If the age of the
youngest member be 10 years then what was the average age of the family at the
time of the birth of the youngest member?
**
1. 13.5

2. 14

3. 15

4. 12.5

**Ans :**D

**
10. A student finds the average of 10 positive integers. Each integer contains
two digits. By mistake, the boy interchanges the digits of one number say ba for
ab. Due to this, the average becomes 1.8 less than the previous one. What was
the difference of the two digits a and b?
**
1. 8

2. 6

3. 2

4. 4

**Ans :**C

**
11. Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7
apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.
**
1. 1044

2. 2088

3. 720

4. 324

**Ans :**B

**Interest**

**1. A father left a will of Rs.35 lakhs between his two
daughters aged 8.5 and 16 such that they may get equal amounts when each of them
reach the age of 21 years. The original amount of Rs.35 lakhs has been
instructed to be invested at 10% p.a. simple interest. How much did the elder
daughter get at the time of the will?
**
1. Rs. 17.5 lakhs

2. Rs. 21 lakhs

3. Rs. 15 lakhs

4. Rs. 20 lakhs

**Ans :**B

**
2. What will Rs.1500 amount to in three years if it is invested in 20% p.a.
compound interest, interest being compounded annually?
**
1. 2400

2. 2592

3. 2678

4. 2540

**Ans :**B

**
3. If a sum of money grows to 144/121 times when invested for two years in a
scheme where interest is compounded annually, how long will the same sum of
money take to treble if invested at the same rate of interest in a scheme where
interest is computed using simple interest method?
**
1. 9 years

2. 22 years

3. 18 years

4. 33 years

**Ans :**B

**
4. The population of a town was 3600 three years back. It is 4800 right now.
What will be the population three years down the line, if the rate of growth of
population has been constant over the years and has been compounding annually?
**
1. 6000

2. 6400

3. 7200

4. 9600

**Ans :**B

**
5. A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned
yearly. Income tax at the rate of 20% on the interest earned is deducted at the
end of each year. Find the amount at the end of the third year.
**
1. 5624.32

2. 5630.50

3. 5788.125

4. 5627.20

**Ans :**A

**
6. The difference between the compound interest and the simple interest on a
certain sum at 12% p.a. for two years is Rs.90. What will be the value of the
amount at the end of 3 years?
**
1. 9000

2. 6250

3. 8530.80

4. 8780.80

**Ans :**D

**
7. Vijay invested Rs.50,000 partly at 10% and partly at 15%. His total income
after a year was Rs.7000. How much did heinvest
at the rate of 10%?
**
1. Rs.40,000

2. Rs.40,000

3. Rs.12,000

4. Rs.20,000

**Ans :**B

**
8. A sum of money invested for a certain number of years at 8% p.a. simple
interest grows to Rs.180. The same sum of money invested for the same number of
years at 4% p.a. simple interest grows to Rs.120 only. For how many years was
the sum invested?
**
1. 25 years

2. 40 years

3. 33 years and 4 months

4. Cannot be determined

**Ans :**A

**
9. How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000,
if it is invested at 12.5% p.a simple interest?
**
1. 8 years

2. 64 years

3. 72 years

4. 56 years

**Ans :**D

**
10. Rs. 5887 is divided between Shyam and Ram, such that Shyamâ€™s share at the
end of 9 years is equal to Ramâ€™s share at the end of 11 years, compounded
annually at the rate of 5%. Find the share of Shyam.
**
1. 2088

2. 2000

3. 3087

4. None of these

**Ans :**C

**Geometry**

**1. Find the coordinates of the point which divides the
line joining (5, -2) and (9, 6) internally in the ratio 1 : 3.
**
1. (6, 0)

2. (6, 3)

3. (0, 6)

4. (3, 6)

**Ans :**A

**
2. Find the number of triangles in an octagon.
**
1. 326

2. 120

3. 56

4. Cannot be determined

**Ans :**C

**
3. Find the equation of a line whose intercepts are twice of the line 3x - 2y -
12 = 0
**
1. 3x - 2y = 24

2. 2x - 3y = 12

3. 2x - 3y = 24

4. None of these

**Ans :**A

**
4. Find the area of the sector covered by the hour hand after it has moved
through 3 hours and the length of the hour hand is 7cm.
**
1. 77 sq.cm

2. 38.5 sq.cm

3. 35 sq.cm

4. 70 sq.cm

**Ans :**B

**
5. Find the area of the triangle whose vertices are (-6, -2), (-4, -6), (-2, 5).
**
1. 36

2. 18

3. 15

4. 30

**Ans :**C

**
6. A stairway 10ft high is such that each step accounts for half a foot upward
and one-foot forward. What distance will an ant travel if it starts from ground
level to reach the top of the stairway?
**
1. 30 ft

2. 33 ft

3. 10 ft

4. 29 ft

**Ans :**D

**
7. Each interior angle of a regular polygon is 120 degrees greater than each
exterior angle. How many sides are there in the polygon?
**
1. 6

2. 8

3. 12

4. 3

**Ans :**C

**
8. What is the area of the largest triangle that can be fitted into a rectangle
of length â€˜lâ€™ units and width â€˜wâ€™ units?
**
1. lw/3

2. (2lw)/3

3. (3lw)/4

4. (lw)/2

**Ans :**D

**
9. Which of the following is inCorrect?
**
1. An incentre is a point where the angle bisectors meet.

2. The median of any side of a triangle bisects the side at right angle.

3. The point at which the three altitudes of a triangle meet is the orthocentre

4. The point at which the three perpendicular bisectors meet is the centre of the circumcircle.

**Ans :**B

**
10. A and B are two points with the co-ordinates (-2, 0) and (0, 5). What is the
length of the diagonal AC if AB form one of the sides of the square ABCD?
**
1. units

2. units

3. units

4. units

**Ans :**B