RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 351

Arithmetic

Find the rate of interest at which the simple interest on ₹15,000 for 4 years is ₹3,600.

A

4%

B

7%

C

6%

D

5%

Question 352

Arithmetic

A delivery rider travels from Warehouse A to Store B, a distance of 48 km, at a speed of 32 km/hr. On the return journey along the same route, due to traffic, he travels at a speed of 24 km/hr. What is the rider’s average speed for the entire trip? (Round off up to two decimal places.)

A

23.74 km/hr

B

27.43 km/hr

C

24.56 km/hr

D

26.85 km/hr

Question 353

Arithmetic

An article marked at ₹1,250 is sold at two successive discounts such that the selling price becomes ₹900. If the first discount is 20%, what is the second discount?

A

12%

B

8%

C

10%

D

15%

Question 354

Arithmetic

A cylindrical tank has a diameter of 12 m and a height of 10 m. If the tank is closed at both ends, what is the ratio of its curved surface area to its total surface area?

A

5:8

B

3:5

C

4:7

D

2:5

Question 355

Arithmetic

The marked price of an article is ₹500. During a sale, its price is reduced to ₹450. What is the percentage decrease in price?

A

10%

B

12%

C

5%

D

8%

Question 356

Arithmetic

The average of 12 numbers is 38. If two more numbers 50 and 62 are included, the new average is (Round off your answer to two decimal places.)

A

40.57

B

39.57

C

41.57

D

38.57

Question 357

Arithmetic

X, Y, and Z enter into a partnership. X invests ₹60,000 for 12 months, Y invests ₹80,000 for 6 months, and Z invests ₹1,20,000 for 4 months. If the total profit is ₹77,000, what is the share of Z?

A

₹24,000

B

₹22,000

C

₹20,000

D

₹18,000

Question 358

Arithmetic

The mean proportional between 12 and a number is twice the mean proportional between 9 and 16. Find the number.

A

56

B

72

C

60

D

48

Question 359

Arithmetic

Find the mean of the following data. Class Interval 0-8 8-16 16-24 24-32 32-40 40-48 Frequency 4 6 7 3 12 8

A

30.5

B

27.4

C

25.2

D

29.3

Question 360

Arithmetic

Two banks, A and B, offered loans at 3.5% and 6.5% per annum, respectively. Ajay borrowed an amount of ₹2,60,000 from each bank. Find the positive difference between the amounts of simple interest (in ₹) paid to the two banks by Ajay after 2 years.

A

15,600

B

15,100

C

16,600

D

17,100

Question 361

Arithmetic

Evaluate \(22^3 + (-18)^3 + (-4)^3\) .

A

4800

B

4819

C

4752

D

4617

Question 362

Arithmetic

A tank is filled by two pipes, A and B, and emptied by a third pipe C. Pipe A fills the tank in 10 hours and pipe B in 15 hours. Pipe C empties it in 20 hours. If all three pipes are opened together, and pipe C is closed after 4 hours, how much total time will it take to fill the tank?

A

8.2 hours

B

8 hours

C

7.5 hours

D

7.2 hours

Question 363

Arithmetic

A shopkeeper marks the price of sugar 24% above the cost price and gives a discount of 18%, but uses a weight of 800 grams instead of 1 kg. Find his overall profit percentage.

A

26%

B

27.1%

C

25.4%

D

28%

Question 364

Arithmetic

Two friends, P and Q, started a business by investing ₹2,300 and ₹4,600, respectively. At the end of one year, the business earned a total profit of ₹37,272. What is the share (in ₹) of P in the profit?

A

12,424

B

12,274

C

12,524

D

12,374

Question 365

Arithmetic

A car travels from Gwalior to Jhansi at 60 km/hr and returns at 80 km/hr. If the total travel time is 3.5 hours, what is the one-way distance?

A

125 km

B

120 km

C

112 km

D

110 km

Question 366

Arithmetic

A certain sum amounts to ₹5,200 in 2 years and ₹6,400 in 4 years at simple interest. What is the rate of interest per annum?

A

10 percent

B

12 percent

C

18 percent

D

15 percent

Question 367

Arithmetic

The sum of the ages of two siblings is 28 years and the difference of their ages is 8 years. What is the present age of the elder sibling?

A

20 years

B

14 years

C

18 years

D

16 years

Question 368

Arithmetic

A and B can do a piece of work in 12 days and 24 days, respectively. Both work for 2 days and then A leaves. How long (in days) will B take to complete the remaining work?

A

17

B

19

C

20

D

18

Question 369

Arithmetic

The sum of two positive numbers is 40 and their product is 175. The positive difference between them is:

A

32

B

36

C

34

D

30

Question 370

Arithmetic

At what annual interest rate will a principal amount of ₹1,000 become ₹1,728 in a period of 1 year and 6 months, assuming that the interest is compounded semi-annually?

A

41%

B

40%

C

35%

D

32%

Question 371

Arithmetic

The largest four-digit number which when divided by 12, 8 and 11 leaves the remainder 3 in each case, is:

A

9928

B

9771

C

9821

D

9535

Question 372

Arithmetic

Two trains are moving in opposite directions at speeds of 8 m/s and 10 m/s. If they completely pass each other in 8 seconds, find the combined length of both trains.

A

156 meters

B

150 meters

C

152 meters

D

144 meters

Question 373

Arithmetic

If the fourth proportional to 5, 15, and 25 is k, then find k.

A

k = 60

B

k = 75

C

k = 90

D

k = 125

Question 374

Arithmetic

In a triangle, the ratio of three angles is \(3 : 3 : 4\) . Find the measure of the largest angle.

A

84°

B

72°

C

62°

D

40°

Question 375

Arithmetic

The average of 8 numbers is 45. If each number is decreased by 3, what will the new average be?

A

42

B

8

C

39

D

45

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