Answer Key for Postal
Assistant/Sorting Assistant Exam held on 12 May 2013- Mathematics Section
Mathematics Section Solved
Q1. If the digits of a two digit number are
interchanged, the newly formed number is more than the original number by 18.
If the sum of the digits is 8, then what was the original number?
(A) 26
(B) 17
(C) 35
(D) Data inadequate
Ans. (C) 35
Q2. One year ago, a mother was 4 times
older than her son. After 6 years, her age becomes more than double her son’s
age by 5 years. The present ration of their age will be:
(A) 17:2
(B) 25:7
(C) 29:6
(D) None of these
Ans. (B) 25:7
Q3. If m:n is 2:3, what is the value of
(2m+5n)/(6m-n):
(A) 5/3
(B) 7/3
(C) 3/7
(D) None of these
Ans. (B) 7/3
Q4. A triple successive discount of 20%,
10% and 5% is equal to a single discount of :
(A) 31.60%
(B) 25.7%
(C) 40%
(D) 35%
Ans. (A) 31.60%
Q5. Three items are purchased at Rs.380/-
each. One of them is sold at a loss of 10%. The others are sold so as to
gain25% on the whole transaction. What is the gain % on these two items?
(A) 42.5%
(B) 40.5%
(C) 44.5%
(D) None of these
Ans. (A) 42.5%
Q6. The size of a bag that could hold 6 Kg
of oranges has now been increased so that it can hold 8 kg. What is the percentage
increase in the size?
(A) 30 1/3 %
(B) 33 1/3%
(C) 20%
(D) 25%
Ans. (B) 33 1/3%
Q7. If w/x=6/11, y/z=16/23, w/y=9/6 then
what is the value of x/y?
(A) 13/16
(B) 11/16
(C) 6/16
(D) None of these
Ans. (D) None of these
Q8. What approximate value should come in
place of (?) in the following question?
(A) 8
(B) 10
(C) 53
(D) None of these
Ans. (B) 10
Q9. Mid points of the side of an
equilateral triangle of side 18 cm are joined to form another triangle, whose
midpoints are further joined to form a different triangle and this process is
repeated indefinitely. The sum of the perimeters of all triangle will be:
(A) 144cm
(B) 172cm
(C) 72cm
(D) 108cm
Ans. (D) 108cm Hint: use GP
Q10. A sum of Rs.8500/-is to be divided
among 5 men, 6 women and 8 boys in the ratio of 10:7:1. The share of 01 boy
will be:
(A) Rs.595/-
(B) Rs.850/-
(C) Rs.85/-
(D) None of these
Ans. (C) Rs.85/-
Q11. Ram and Shyam work in the same
factory. Ram can produce 45 articles in one hour and Shyam can produce 40
articles in 0ne hour. During one week Shyam worked 5 more hours than Ram but
produced same number of articles as Ram. How many hours did Ram work that week:
(A) 50
(B) 43
(C) 45
(D) 40
Ans. (D) 40
Q12.
(A) 3/4
(B) 5 ¼
(C) 1
(D) 1 1/3
Ans. (C) 1
Q13. Which of the following numbers has got
the highest value?
(A) 127/25
(B) 121/9
(C) 53/4
(D) 25/6
Ans. (B) 121/9
Q14. The average score of Sachin Tendulkar
in IPL 15 matches is 70 runs and the average score in Border-Gavaskar T-20
matches is 45 runs in 7 matches. If he has played 10 more International T-20
matches and his overall average score in all T-20 matches was 73 runs. What was
his total score in 10 International T-20
matches:
(A) 971
(B) 982
(C) 990
(D) None of these
Ans. (A) 971
Q15. Number of diagonals in a 30 sided
convex polygon will be:
(A) 818
(B) 378
(C) 405
(D) 955
Ans. (C) 405
Q16. Two trains leave stations P and Q,
110km apart. Train from P to Q travels at 25Km/hr and train from Q to P at
30Km/hr. If they both start at 8 AM, they meet at:
(A) 09:00Am
(B) 09:45 Am
(C) 10:40Am
(D) None of these
Ans. (D) None of these
Q17. A sphere of radius x is melted and its
volume is divided into two equal parts. One part is cast into a cylinder of
height 10cm and second a cone of same height. The ratio of cylinder radius to
the cone radius is:
(A) 1:3
(B) √3:2
(C) 1:√3
(D) None of these
Ans. (C) 1:√3
Q18. A man buys milk at a certain price per
Kg. and after mixing it with water sells it again at the same price. How many
grams of water he mixes in every Kg. of milk if he makes a profit of 25%:
(A) 150g
(B) 30g
(C) 250g
(D) 200g
Ans. (C) 250g
Q19. A sum of Rs.8000 generates Rs.1261 as
compound interest in 03 years, interest being compounded annually. The rate of
compound interest is:
(A) 10%
(B) 5%
(C) 20%
(D) 2.5%
Ans. (B) 5%
Q20. By how much is two-thirds of 96 less
than three fifths of 210?
(A) 114
(B) 62
(C) 206
(D) None of these
Ans. (B) 62
Q21. If √.00000676 = .0026, then the square
root of 67,60,000 is:
(A) 260
(B) 2600
(C) 1/26
(D) 26
Ans. (B) 2600
Q22. The average temperature of three days
is 24˚C. If the temperature on first two days is 20˚ and 25˚C respectively,
then temperature on third day is:
(A) 27˚C
(B) 24˚C
(C) 22 ½˚C
(D) 23˚C
Ans. (A) 27˚C
Q23. A five-year cash certificate with a
maturity value of Rs.300 is purchased for Rs.200. The annual rate of simple
interest is:
(A) 10%
(B) 15%
(C) 5%
(D) 7 ½ %
Ans. (A) 10%
Q24. You bought some apples. On the first
day you ate one and ¼ of the reminder. On the second day you ate 2 and ¼ of the
remainder. On the third day you ate the entire remaining balance of 3. How many
apples did you buy?
(A) 13
(B) 19
(C) 9
(D) None of these
Ans. (C) 9
Q25. Two card start from place A and B,
100km apart, towards each other. Both card start simultaneously. A bird sitting
on one car starts at the same time towards the other car, and as soon as it
reaches the second car, it flies back to the first carand it continues in the
manner flying backwards and forwards from one car to the other, until the cars
meet. Both cars travel at speed of
50Kmph and the bird flies at 100kmph. Total distance covered by the bird will
be:
(A) 100km
(B) 200km
(C) 50km
(D) None of these
Ans. (A) 100km
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