RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 226
Arithmetic

In a fitness park, a straight walking path is divided into three consecutive segments. The lengths of the first and third segments are 18 m and 50 m respectively. If the length of the middle segment is the mean proportional between the other two, what is its length?

A
30 m
B
27 m
C
25 m
D
36 m
Question 227
Arithmetic

A solid right circular cylinder has curved surface area \(1408\pi\) cm 2 . If the volume of the cylinder is maximum, then the ratio of radius to height is

A
\(1:4\)
B
\(2:1\)
C
\(1:3\)
D
\(1:2\)
Question 228
Arithmetic

In a parallelogram, the difference of two adjacent angles is 40°. Find the measure of the smaller angle.

A
60°
B
80°
C
50°
D
70°
Question 229
Arithmetic

Two taps can fill a cistern in 4 hours and 18 hours, respectively. A third tap can empty it in 18 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A
2
B
3
C
4
D
1
Question 230
Arithmetic

The price of an article increases and decreases alternately by 20% every year. If the difference between the prices at the end of the second year and third year is ₹1,920, find 40% of the price (in ₹) of the article at the end of the first year.

A
₹4,800
B
₹3,200
C
₹2,400
D
₹3,600
Question 231
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 18% and 39% on any number of toys bought. (B) Successive discounts of 29%, 45% and 4% on any number of toys bought. (C) 29% discount on the first 8 toys and 31% discount on each toy thereon. (D) 7 toys free of cost on buying 8 toys. A customer wants to buy 8 toys. Which of the above schemes is the least beneficial to her?

A
B
B
C
C
A
D
D
Question 232
Arithmetic

Simplify: \(18 - [6 \times 2 - (3 + 1)] + 7\)

A
17
B
15
C
21
D
19
Question 233
Arithmetic

The price of an article is decreased by 24%, but the daily sale of the article is increased by 33%. Find the net effect on the daily sale receipts.

A
2.16% decrease
B
2.16% increase
C
1.08% increase
D
1.08% decrease
Question 234
Arithmetic

If 9 notebooks cost ₹135, how much will 20 notebooks of the same type cost?

A
₹270
B
₹300
C
₹280
D
₹320
Question 235
Arithmetic

Three numbers are in the ratio 5 : 14 : 9, and their LCM is 7560. Their HCF is:

A
11
B
12
C
53
D
32
Question 236
Arithmetic

A trader sells rice, claiming 1 kg but actually gives x grams. He marks the price 20% above the cost price and gives a 10% discount on the marked price. If his overall profit is 25%, find x.

A
864
B
856
C
825
D
870
Question 237
Arithmetic

A shopkeeper sells a watch for ₹840 after giving a 30% discount. What was the marked price (in ₹) of the watch?

A
1,100
B
1,050
C
1,200
D
1,000
Question 238
Arithmetic

Five years ago, the age of Kavita was one-third of the present age of her mother. After 5 years, the sum of their ages will be 75 years. What is Kavita's present age?

A
21 years
B
23 years
C
22 years
D
20 years
Question 239
Arithmetic

Sarang invested a certain sum of money at 10% per annum. After 2 years, he received ₹178.5 as compound interest, compounded annually. Find the corresponding simple interest (in ₹) for 2 years at the same rate.

A
180
B
170
C
185
D
165
Question 240
Arithmetic

The sum of two positive numbers is 77 and their product is 1392. The positive difference between them is:

A
21
B
19
C
37
D
24
Question 241
Arithmetic

A sum of ₹2000 is invested at 20% compound interest per annum, compounded annually for 2 years. What is the compound interest earned at the end of 2 years?

A
₹800
B
₹880
C
₹1000
D
₹900
Question 242
Arithmetic

The present age of Amit is twice that of his brother Sumit. Five years ago, the ratio of their ages was 5:2. What is Sumit's present age?

A
8 years
B
15 years
C
20 years
D
10 years
Question 243
Arithmetic

A shirt's price is decreased from ₹200 to ₹180. What is the percentage decrease?

A
5%
B
15%
C
10%
D
20%
Question 244
Arithmetic

The price of fuel decreases by 55%, 35% and 45% in three successive months, but increases by 40% in the fourth month. What is the percentage decrease in the price of fuel in the fourth month as compared to its original price? (Round off to 2 decimal places.)

A
77.48%
B
81.67%
C
76.52%
D
73.05%
Question 245
Arithmetic

The arithmetic mean of 25 observations is 32.6. If the arithmetic mean of the first 24 observations is 30, what is the 25 th observation?

A
80
B
90
C
95
D
85
Question 246
Arithmetic

The fourth proportional to 4, 6, and 8 is m. The third proportional to 8 and m is n. What is the value of n?

A
18
B
24
C
16
D
20
Question 247
Arithmetic

A bus travels at a uniform speed of 54 km/hr. How many meters does it cover in 1 minute?

A
600 meters
B
750 meters
C
800 meters
D
900 meters
Question 248
Arithmetic

What sum (in ₹) will earn a simple interest of ₹1,440 in 2 years at 12% per year rate of interest?

A
6,000
B
3,000
C
345.6
D
12,000
Question 249
Arithmetic

A dishonest shopkeeper professes to sell his goods at a 35% loss but uses a false balance and gains 85%. The actual weight (rounded off to one decimal place) he uses for 1 kg is:

A
349.4 gm
B
347.2 gm
C
351.4 gm
D
348.5 gm
Question 250
Arithmetic

A motorist travels a certain journey in two stages. In the first stage, he travels for one-third of the total time at 30 km/hr. In the second stage, he travels for the rest of the time at 60 km/hr. He returns to the start at a uniform speed of 75 km/hr. What is the average speed for the entire round trip?

A
60 km/hr
B
62 km/hr
C
58 km/hr
D
55 km/hr