**Postal Assistant Exam 2013 question paper and answer key for Part B Mathematics**

**(Phase 1- 21 April 2013)**

01. Tarun travels a distance of 24km at 6
km/hr another distance of 24km at 8 km/hr and a third distance of 24 km at 12
km/hr. His average speed for the whole journey (in km/hr) is

(A) 8 2/3

(B) 8

(C) 9

(D) 7

**Ans. (B) 8**

02. Rohan lends 1000 in four parts. If he
gets 8% interest on 2000, 7 1/2% on 4000 and 8 1/2% on 1400 what percent of
interest must he get for the remainder if his average annual interest is 8.13%?

(A) 10%

(B) 9%

(C) 8%

(D) None of these

**Ans. (B) 9%**

03. A solid piece of iron is in the form of
a cuboid of dimensions (49cmx33cmx24cm) is melted and moulded to form a solid
sphere. The radius of the sphere is

(A) 23 cm

(B) 21 cm

(C) 19cm

(D) 25cm

**Ans. (B) 21 cm**

04. Twelve solid spheres of the same size
are made by melting a solid metallic cylinder of base diameter 2 cm and height
16cm. The diameter of each sphere is:

(A) 4cm

(B) 3cm

(C) 2 cm

(D) 6 cm

**Ans. (C) 2 cm**

05. Perimeter of a circle is equal to the
perimeter of a square whose area is 484 cm². What is the radius of the circle?

(A) 14cm

(B) 12 cm

(C) 7 cm

(D) 16 cm

**Ans. (A) 14cm**

06. Puneeta borrowed from Reena certain sum
for two years at simple interest. Puneeta lent this sum to Venu at the same
rate for two years compound interest. At the end of two years she received 110
as compound interest but paid 100 as simple interest. Find the sum and rate of
interest:

(A) 250, rate 20% per annum

(B) 250, rate 25% per annum

(C) 250, rate 10% per annum

(D) None of these

**Ans. (A) 250, rate 20% per annum**

07. 13 chairs and 5 tables were brought for
8280. If the average cost of the table will be 1227, what is the average cost
of a chair?

(A) 2145

(B) 165

(C) 175

(D) None of these

**Ans. (B) 165**

08. A man goes uphill with an average speed
of 24 kmph and comes down with an average speed of 36 kmph. The distance
travelled in both the cases being the same, The average speed (in km/hr) for
the entire journey is:

(A) 30.8

(B) 32.8

(C) 28.8

(D) None of these

**Ans. (C) 28.8**

09. 40% of the employees of a certain
company are men, and 75% of the men earn more than 25000 per year. If 45% of
the company's employees earn more than 25000 per year, what fraction of the
women employed by the company earn 25000 per year or less?

(A) 1/4

(B) 3/4

(C) 1/3

(D) 2/11

**Ans. (B) 3/4**

10. A sum of money invested at compound
interest amounts in 3 years to 800 and in 4 years to 840 what is the percentage
rate of interest?

(A) 6%

(B) 5%

(C) 4%

(D) 3%

**Ans. (B) 5%**

11. If the difference between simple and
compound interest on some principal amount at 20% per annum for three years is
48, then the principal amount is:

(A) 390

(B) 375

(C) 450

(D) None of these

**Ans. (B) 375**

12. A rational number between 1/2 and 3/5
is:

(A) 4/7

(B) 3/5

(C) 2/5

(D) None of these

**Ans. (A) 4/7**

13. The curved surface of a cylinder is
264m². Its volume is 924m³. The height of the cylinder must be:

(A) 8 m

(B) 6 m

(C) 4 m

(D) None of these

**Ans. (B) 6 m**

14. If by selling 110 apples, the cost
price of 120 apples is realized. The gain % is?

(A) 10 10/11%

(B) 9 1/9%

(C) 11 1/9%

(D) 9 1/11%

**Ans. (D) 9 1/11%**

15. If 8 men or 12 women can do a piece of
work in 25 days, in how many days can the same work be done by 6 men and 11
women?

(A) 15 days

(B) 13 1/2 days

(C) 12 days

(D) 18 days

**Ans. (A) 15 days**

16. Pujara has a certain average of runs
for his 8 matches in Border Gavaskar Trophy. In the ninth match he scores 100
runs and thereby increases his average by 9 runs. His new average of runs is:

(A) 28

(B) 24

(C) 20

(D) 32

**Ans. (A) 28**

17. It costs 1 to photocopy a sheet of
paper. However, 2% discount is allowed on all photocopies done after first 1000
sheets. How much will it cost to photocopy 5000 sheets of paper?

(A) 3920

(B) 4900

(C) 4920

(D) 3980

**Ans. (C) 4920**

DIRECTIONS (Question No 43 & 44) Answer
the following questions on the basis of the information given below.

i. Trains A and B are travelling on the
same route heading towards the same destination. Train B has already covered a
distance of 220km before the train A started.

ii. The two trains meet each other after 11
hours after start of train A

iii. Had the trains been travelling towards
each other (from a distance of 220 km) they would have met after one hour.

18. What is the speed of trains 'B' in
kmph:

(A) 116

(B) 180

(C) 100

(D) None of these

**Ans. (C) 100**

19. What is the speed of trains 'A' in
kmph:

(A) 118

(B) 80.5

(C) 102

(D) None of these

**Ans. (D)**

DIRECTIONS: What approximate (you are not
expected to calculate the exact value) value will come in place of the question
mark(?) in following equation?

20. 384.996 x 15.001 + 44.99 = ?

(A) 5080

(B) 5820

(C) 5280

(D) 5420

**Ans. (B) 5820**

21. Three men or eight boys can do a piece
of work in 17 days. How many days will two men and six boys together take to
finish the same work?

(A) 12 days

(B) 17 days

(C) 11 days

(D) None of these

**Ans. (A) 12 days**

22. Vaibhav got a monthly increment of 12
percent of Pushpa's monthly salary. Pushpa's monthly salary is 7800. Vaibhav's
monthly salary before increment was 6500. What amount will he earn in five
months after his increment?

(A) 37.180

(B) 35.180

(C) 36.180

(D) None of these

**Ans. (A) 37.180**

23. The ratio of two numbers is 4:5. When
the first is increased by 20% and the second is decreased by 20% the ratio of
the resulting numbers is:

(A) 5:6

(B) 5:4

(C) 6:5

(D) 4:5

**Ans. (C) 6:5**

24. If the numerator of a fraction be
increased by 12% and its denominator decreased by 2% the value of the fraction
becomes 6/7. Thus, the original fraction is:

(A) 3/4

(B) 4/3

(C) 2/3

(D) None of these

**Ans. (A) 3/4**

25. What approximate value will come in
place of the question mark (?) in the following equation?

239.99 / 8.0001 x 9.99 = ?

(A) 350

(B) 260

(C) 400

(D) 300

**Ans. (D) 300**

***Comment if there is discrepancy in answers to any question**

plz upload the solved paper for this.

ReplyDeleteQ16 ans is 19

ReplyDelete19 is old avg. new is 19+9=28

Deletekya PA/SA exam me negative marking hai ya nahi

ReplyDeletenope no negative mark

DeleteQno 5 ans is 7cm

ReplyDeletegive ful explanations of answers

ReplyDelete1st qus ans is 8 2/3

ReplyDelete