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# (Mock Paper) Railway Protection Force (RPF) Exam Numerical Aptitude Set-3

## (Mock Paper) Railway Protection Force (RPF) Exam Numerical Aptitude Set-3

**1. By how much does**

**2. The next number of the sequence 5, 10, 13, 26, 29, 58, 61,... is**

(a) 122

(b) 120

(c) 93

(d) 64

**3. In a certain year, the average monthly income of a person was Rs.
3,400. For the first eight months of the year, his average monthly income was Rs.
3,160 and for the last five months, it was Rs. 4,120.His income in the eighth
month of the year was**

(a) Rs. 3,160

(b) Rs. 5,080

(c) Rs. 15,520

(d) Rs. 5,520

**4. The average age of 40 students of a class is 18 years. When 20 new
students are admitted to the same class, the average age of the students of the
class is increased by 6 months. The aver- age age of newly admitted students is**

(a) 19 years

(b) 19 years 6 months

(c) 20 years

(d) 20 years 6 months

**5. Of the three numbers, the second is twice the first and thrice the
third. If the average of the three numbers is 44, the largest number is**

(a) 24

(b) 72

(c) 36

(d) 108

**6. A cricketer had a certain average of runs for his 64 innings. In his
65th innings, he is bowled out for no score on his part. This brings down his
average by 2 runs. His new average of runs is**

(a) 130

(b) 128

(c) 70

(d) 68

**7. A man completed a certain journey by a car. If he covered 30% of the
distance at the speed of 20km/hr, 60% of the distance at 40km/hr and the
remaining distance at 10km/hr; his average speed for the whole journey was**

(a) 25 km/hr

(b) 28 km/hr

(c) 30 km/hr

(d) 33 km/hr

**8. The time duration of 1 hour 45 minutes is what percent of a day?**

(a) 7.218

(b) 7.291

(c) 8.3

(d) 8.24

**9. In an examination, 35% of the candidates failed in Mathematics and 25%
in English. If 10% failed in both Mathematics and English, then how much percent
passed in both the subjects ?**

(a) 50

(b) 55

(c) 57

(d) 60

**10. If 2/3 of A = 75% of B = 0.6 of C, then A : B : C is**

(a) 2 : 3 : 3

(b) 3 : 4 : 5

(c) 4 : 5 : 6

(d) 9 : 8 : 10

**11. Each side of a rectangular field is diminished by 40%. By how much per
cent is the area of the field diminished ?**

(a) 32

(b) 64

(c) 25

(d) 16

**12. The price of sugar rise by 25%. If a family wants to keep their
expenses on sugar the same as earlier, the family will have to decrease its
consumption of sugar by:**

(a) 25%

(b) 20%

(c) 80%

(d) 75%

**13. The price of an article is reduced by 25% but the daily sale of the
article is increased by 30%. The net effect on the daily sale receipts is:**

**14. If x earns 25% more than y. What percent less does y earn than x ?**

(a) 16

(b) 10

(c) 20

(d) 25

**15. The cost of an article was Rs 75. The cost was first increased by 20%
and later on it was reduced by 20%. The present cost of the article is:**

(a) Rs. 72

(b) Rs. 60

(c) Rs. 75

(d) Rs. 90

**16. If A and B are in the ratio 3 : 4, and B and C in the ratio 12 : 13,
then A and C will be in the ratio:**

(a) 3 :13

(b) 9 : 13

(c) 36 :13

(d) 13 : 9

**17. Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four
years later their ages will be in the ratio 13 : 16. The present age of A is:**

(a) 48 years

(b) 26 years

(c) 44 years

(d) 28 years

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**रेलवे सुरक्षा बल (RPF) सिपाही परीक्षा के लिए अध्ययन सामग्री**

**18. In an alloy, zinc and copper are in the ratio 1 : 2. In the second
alloy, the same elements are in the ratio 2 : 3. If these two alloys be mixed to
form a new alloy in which two elements are in the ratio 5 : 8, the ratio of
these two alloys in the new alloys is:**

(a) 3 : 10

(b) 3 : 7

(c) 10 : 3

(d) 7 : 3

**19. Ajar contained a mixture of two liquids A and B in the ratio 4 : 1.
When 10 litres of the mixture was taken out and 10 litres of liquid B was poured
into the jar, this ratio became 2 : 3. The quantity of liquid A contained in the
jar initially was:**

(a) 4 litres

(b) 8 litres

(c) 16 litres

(d) 40 litres

**20. The salaries of A, B and C are in the ratio 1 : 3 : 4. If the salaries
are increased by 5%, 10% and 15% respectively, then the increased salaries will
be in the ratio:**

(a) 20 : 66 : 95

(b) 21 : 66 : 95

(c) 21 : 66 : 92

(d) 19 : 66 : 92

**21. The total marks obtained by Arun in English and Mathematics are 170.
If the difference between his marks in these two subjects is 10, then the ratio
of his marks in these subjects is:**

(a) 7 : 8

(b) 8 : 7

(c) 9 : 8

(d) 9 : 7

**22. A started a business with a capital of Rs. 1,00,000. One year later, B
joined him with a capital of Rs 2,00,000. At the end’ of 3 years from the start
of the business, the profit earned was 84,000. The share of B in the profit
exceeded the share of A by:**

(a) Rs. 10,000

(b) Rs. 12,000

(c) Rs. 14,000

(d) Rs. 15,000

**23. In a mixture of 75 litres, the ratio of milk to water is 2 : 1. The
amount of water to be further added to the mixture so as to make the ratio of
the milk to water 1 : 2 will be:**

(a) 45 litres

(b) 60 litres

(c) 75 litres

(d) 80 litres

**24. The ratio in which two sugar solutions of the concentrations 15% and
40% are to be mixed to get a solution of concentration 30% is:**

(a) 2 : 3

(b) 3 : 2

(c) 8 : 9

(d) 9 : 8

**25. A boy has a few coins of denominations 50 paise, 25 paise and 10 paise
in the ratio 1 : 2 : 3. If the total amount of the coins is Rs 6.50, the number
of 10 paise coins is:**

(a) 5

(b) 10

(c) 15

(d) 20

**26. A sum of Rs 13,360 was borrowed at 35/4 % per annum compound interest
and paid back in two years in two equal annual instalments. What was the amount
of each installment ?**

(a) Rs. 5,769

(b) Rs. 7,569

(c) Rs. 7,009

(d) Rs. 7,500

**27. If Rs 12,000 is divided into two parts such that the simple interest
on the first part for 3 years at 12% per annum is equal to the simple interest
on the second and part for 9/2 years at 16% per annum, the greater part is:**

(a) Rs. 8,000

(b) Rs. 6,000

(c) Rs. 7,000

(d) Rs. 7,500

**28. At what rate of simple interest per annum will a sum become 7/4 of
itself in 4 years ?**

**29. A sum of money at a certain rate per annum of simple interest doubles
in the 5 years and at a different rate becomes three times in 12 years. The
lower rate of interest per annum is:**

**30. A certain sum, invested at 4% per annum compound interest, compounded
half-yearly, amounts to Rs. 7,803 at the end of one year. The sum is:**

(a) Rs. 7,000

(b) Rs 7,200

(c) Rs. 7,500

(d) RS 7,700

**31. The difference between compound and simple interests on a certain sum
for 3 years at 5% per annum is Rs. 122. The sum is:**

(a) Rs. 16,000

(b) Rs. 15,000

(c) Rs.. 12,000

(d) Rs. 10,000

**32. A certain sum amount to Rs. 5,832 in 2 years at 8% per annum compound
interest, the sum is:**

(a) Rs. 5,000

(b) Rs. 5,200

(c) Rs. 5,280

(d) Rs. 5,400

**33. The compound interest on a certain sum of money at 5% per annum for 2
years is Rs. 246. The simple interest on the same sum for 3 years at 6% per
annum is:**

(a) Rs. 435

(b) Rs. 450

(c) Rs. 430

(d) Rs. 432

**34. A tradesman marks his goods at 25% above the cost price and allows
purchasers a discount of 25/2% . His profit is:**

(a) 8%

(b) 8.5%

(c) 8.625%

(d) 9.375%

**35. The marked price of watch was Rs. 820. A man bought the watch for Rs.
570.72 after getting two successive discounts, of which the first was 20%. The
second discount was:**

(a) 18%

(b) 15%

(c) 13%

(d) 11%