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# (Mock Paper) Railway Protection Force (RPF) Exam Numerical Aptitude Set-2

## (Mock Paper) Railway Protection Force (RPF) Exam Numerical Aptitude Set-2

**1. If a sum of money at simple in- terest doubles in 12 years, the rate of
interest per annum is**

(a) 16 3 %

(b) 7.5%

(c) 8 3 %

(d) 10%

**2. Out of Rs. 50,000, that a man has, he lends Rs. 8000 at 52 per annum
simple interest and Rs. 24,000 at 6 % per annum simple interest. He lends the
remaining money at a certain rate of interest so that he gets total annual
interest of Rs. 3680. The rate of interest per annum, at which the remaining
money is lent, is**

(a) 5%

(b) 7%

(c) 10%

(d) 12%

**3. In what time will Rs. 10,000 amount to Rs. 13310 at 20% per annum
NUMERICAL APTITUDE compounded half yearly? **

(a) 12% years

(b) 2 years

(c) 2 2 years

(d) 3 years

**4. At a certain rate per annum, the simple interest on a sum of money for one
year is Rs. 260 and the compound interest on the same sum for two years is Rs.
540.80. The rate of interest per annum is
**

(a) 4%

(b) 6%

(c) 8%

(d) 10%

**5. A certain sum of money yields Rs.1261 as compound interest for 3 years at
5% per annum. The sum is**

(a) Rs. 9000

(b) Rs. 8400

(c) Rs. 7500

(d) Rs. 8000

**6. The simple interest on a sum of money at 4% per annum for 2 years is Rs.
80. The compound interest in the same sum for the same period is **

(a) Rs. 82.60

(b) Rs. 82.20

(c) Rs. 81.80

(d) Rs. 81.60

**7. A shopkeeper marks his goods 30% above his cost price but allows a
discount of 10% at the time of sale. His gain is**

(a) 21%

(b) 20%

(c) 18%

(d) 17%

**8. An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after
getting two successive discounts. If the rate of first discount is 15%, the rate
of 2nd discount is**

(a) 10%

(b) 5%

(c) 8%

(d) 12%

**9. An article is sold at a discount of 20% and an additional discount of 30%
is allowed on cash payment. If Vidya purchased the article by paying Rs. 2240 in
cash, the marked price of the article was**

(a) Rs. 4000

(b) Rs. 4368

(c) Rs. 4400

(d) Rs. 4480

**10. A retailer purchases a grinder at a discount of 15% and sells it for Rs.
1955 at a profit of 15°/o. The amount of discount received by the retailer from
the wholesaler was**

(a) Rs. 270

(b) Rs. 290

(c) Rs. 300

(d) Rs. 330

**11. A shopkeeper earns a profit of 12% on selling a book at 10% discount on
the printed price. The ratio of the cost price and the printed price of the book
is**

(a) 99 : 125

(b) 25 : 37

(c) 50 : 61

(d) 45 : 56

**12. Working 5 hours a day, A can complete a work in 8 days and working 6
hours a day, B can complete the same work in 10 days. Working 8 hours a day,
they can jointly complete the work in**

(a) 3 days

(b) 4 days

(c) 4.5 days

(d) 5.4 days

**13. 40 men can complete a work in 40 days. They started the work together.
But at the end of each 10th day, 5 men left the job. The work would have been
completed in**

**14. If two persons, with equal abilities, can do two jobs in two days, then
100 persons with equal abilities can do 100 similar jobs in **

(a) 100 days

(b) 10 days

(c) 5 days

(d) 2 days

**15. A tank has a leak which would empty the completely filled tank in 10
hours. If the tank is full of water and a tap is opened which admits 4 litres of
water per minute in the tank, the leak takes 15 hours to empty the tank. How
many litres of water does the tank hold ?**

(a) 2400

(b) 4500

(c) 1200

(d) 7200

**16. A can do a piece of work in 18 days and B in 12 days. They began the work
together, but B left the work 3 days before its completion. In how many days, in
all, was the work completed ?**

(a) 12

(b) 10

(c) 9.6

(d) 9

**17. Ganga and Saraswati, working separately can now a field in 8 and 12 hours
respectively. If they work in stretches of one hour alternately, Ganga beginning
at 9 a.m., when will the moving be completed ?**

(a) 6 p.m.

(b) 6.30 p.m.

(c) 5 p.m.

(d) 5.30 p.m

**18. A and B started at the same time from the same place for a certain
destination. B walking at 5⁄6 of A’ss speed reached the destination 1 **hour
15 minutes after A. B reached the destination in

(a) 6 hours 45 minutes

(b) 7 hours 15 minutes

(c) 7 hours 30 minutes

(d) 8 hours 15 minutes

**19. Two trains started at the same time, one from A to B and the other from B
to A. If they arrived at B and A respectively 4 hours and 9 hours after they
passed each
other, the ratio of the speeds of the two trains was**

(a) 2: 1

(b) 3:2

(c) 4 : 3

(d) 5 : 4

**20. Two trains of equal length, running in opposite directions, pass a pole
in 18 and 12 seconds. The trains will cross each other in **

(a) 14.4 seconds

(b) 15.5 seconds

(c) 18.8 seconds

(d) 20.2 seconds

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**21. Two men start together from the some place in the same direction to go
round a circular path. If one takes 10 minutes and the other takes 15 minutes to
make one complete round they will meet after**

(a) 30 minutes

(b) 33 minutes

(c) 40 minutes

(d) 45 minutes

**22. A moving train crosses a man standing on a platform and a bridge 300
metres long in 10 seconds and 25 seconds respectively. What will be the time
taken by the train to cross a platform 200 metres ling ?
**(a) 16 3 seconds

(b) 18 seconds

(c) 20 seconds

(d) 22 seconds

**23. A man takes 6 hours 15 minutes in walking a distance and riding back to
the starting place. He could walk both ways in 7 hours 45 minutes. The time
taken by him to ride both ways, is**

(a) 4 hours

(b) 4 hours 30 minutes

(c) 4 hours 45 minutes

(d) 5 hours

**24. A man goes downstream with a boat to some destination and returns
upstream to his original place in 5 hours. If the speed of the boat in still
water and the stream are 10 km/hr and 4 km/ hr respectively, the distance of the
destination from the starting place is**

(a) 16 km

(b) 18 km

(c) 21 km

(d) 25 km

**25. A person can row 15/2 km an hour in still water. He finds that it takes
twice the time to row upstream than the time to row downstream. The speed of the
stream is**

(a) 2 km/hour

(b) 2.5 km/hour

(c) 3 km/hour

(d) 4 km/hour

**26. A businessman sells a commodity at 10% profit. If he had bought it at 10%
less and sold it for Rs. 2 less, then he would have 50/3% gained. The cost price
of the commodity is**

(a) Rs.32

(b) 88.36

(c) Rs.40

(d) Rs.48

**27. One trader calculates the percentage of profit on the buying price and
another calculates on the selling price. When their selling prices are the same,
then the difference of their actual profits is Rs. 85 and both claim to have
made 20% profit. What is the selling price of each ?
**

(a) Rs. 1700

(b) Rs. 2100

(c) Rs. 2550

(d) Rs. 2750

**28. A sells a article to B at a profit of 10% B sells the article back to A
at a loss of 10%. In this transaction**

(a) A neither loses nor gains

(b) A makes a profit of 11

(c) A makes a profit of 20%

(d) B loses 20%

**29. The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea
costing Rs. 150 per kg so that the mixed tea, when sold for Rs. 194.40 per kg,
gives a profit of 20%, is**

(a) 2 : 5

(b) 3 : 5

(c) 5 : 3

(d) 5 : 2

**30. If the selling price of an article is doubled, then its loss per cent is
converted into equal profit per cent. The loss per cent on the article is .**

**31. On the basis of selling price of an article, the loss is calculated to be
25%. The percentage of loss on the basis of cost price is**

(a) 18

(b) 20

(c) 22

(d) 25

**32. If the difference between areas of the circumcircle and the in- circle of
an equilateral triangle is 44 cm2, then the area of the triangle is**

33. A wire, when bent in the form of a square, encloses a region having area 121
cm^{2} . if the same wire is bent into the form of a circle, then the
area of the circle is

**
**(a) 144 cm

^{2}

(b) 180 cm

^{2}

(c) 154 cm

^{2}

(d) 1176 cm

^{2}

**34. If the area of a circle inscribed in a square is 97 cm ^{2} , then
the area of the square is**

(a) 24 cm^{2}

(b) 30 cm^{2}

(c) 36 cm^{2}

(d) 81 cm^{2}

**35. The total surface area of a solid hemisphere is 1087 cm2 The volume of
the hemisphere is**