RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 251
Arithmetic

Evaluate \(22^3 + (-15)^3 + (-7)^3\)

A
6981
B
6826
C
6930
D
6929
Question 252
Arithmetic

The base of a triangle is 18 cm and height is 20 cm. Find the height of another triangle of double the area having base 24 cm.

A
30 cm
B
20 cm
C
24 cm
D
22 cm
Question 253
Arithmetic

If the height at which a ladder touches the wall is the mean proportional between 6 meters and 24 meters, at what height does the ladder touch the wall?

A
16 meters
B
14 meters
C
18 meters
D
12 meters
Question 254
Arithmetic

Three numbers are in the ratio \(4 : 3 : 13\) , and their LCM is 4524. Their HCF is:

A
45
B
29
C
49
D
21
Question 255
Arithmetic

Five friends participated in a cooking contest and scored 6, 8, 7, 9, and 5 out of 10, respectively. What is the arithmetic mean of their scores?

A
7
B
8
C
8.5
D
6.5
Question 256
Arithmetic

A shopkeeper marks a jacket at ₹2,000. He gives a 20% discount, but charges 5% GST on the discounted price. What is the final price the customer pays?

A
₹1,680
B
₹1,880
C
₹1,596
D
₹1,700
Question 257
Arithmetic

What is the third proportional to 0.25 and 0.15?

A
0.04
B
0.09
C
0.15
D
0.02
Question 258
Arithmetic

Find the value of k for which the expression \(x^3 - 3x^2 - 7x - k\) will be divisible by \((x - 5)\) .

A
5
B
-5
C
15
D
-15
Question 259
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 34% and 37% on any number of toys bought. (B) Successive discounts of 36%, 15% and 14% on any number of toys bought. (C) 33% discount on the first 6 toys and 9% discount on each toy thereon. (D) 3 toys free of cost on buying 9 toys. A customer wants to buy 9 toys. Which of the above schemes is the least beneficial to her?

A
C
B
B
C
D
D
A
Question 260
Arithmetic

Two taps can fill a cistern in 4 hours and 16 hours, respectively. A third tap can empty it in 4 hours. How long (in hours) will it take to fill one-fourth of the empty cistern if all the taps are opened together?

A
4
B
12
C
8
D
16
Question 261
Arithmetic

An amount of ₹120 is paid using ₹10, ₹5 and ₹2 coins. If the number of coins of ₹10 and ₹2 are interchanged, then the amount becomes ₹304. If the number of ₹5 and ₹2 coins are interchanged, then the amount is ₹165. How many ₹2 coins are used in the payment of ₹120?

A
20
B
15
C
25
D
10
Question 262
Arithmetic

A can complete a job in 9 days, while each of B and C can complete it in 18 days. All three start working together and work for x days. Then A leaves, and B and C together finish the remaining work in x days. Find the value of x.

A
4
B
4.5
C
3
D
3.5
Question 263
Arithmetic

The H.C.F. and L.C.M. of two numbers are 25 and 500, respectively. If the first number is divided by 2, the quotient is 50 and the remainder is zero. Find the second number.

A
50
B
100
C
125
D
250
Question 264
Arithmetic

A regular octagonal fountain has a circumradius of 10 m. Find the approximate length of each side.

A
6.13 m
B
8.71 m
C
7.65 m
D
9.27 m
Question 265
Arithmetic

A shopkeeper marks an article at 40% above the cost price and allows a discount of 25%. What is the percentage profit or loss?

A
15% profit
B
5% profit
C
15% loss
D
5% loss
Question 266
Arithmetic

A shop sold 5 types of items over a week: 120, 150, 110, 130, and 140 units respectively. After receiving a return of 10 units from the first item, what is the new arithmetic mean (in units) of items sold?

A
124
B
128
C
122
D
126
Question 267
Arithmetic

The price of an article increases by 25%, then decreases by 20%, and finally increases by 15%. What is the overall percentage change in the price?

A
15%
B
20%
C
25%
D
10%
Question 268
Arithmetic

If a car covers a distance of 150 km at a speed of 50 km/h, how much time does it take to complete the journey?

A
2 hours
B
4 hours
C
5 hours
D
3 hours
Question 269
Arithmetic

In a division sum, the divisor is 2 times the quotient and 3 times the remainder. If the remainder is 10, what is the dividend?

A
460
B
465
C
464
D
456
Question 270
Arithmetic

The third proportional to 75 and 45 is the same as the fourth proportional to 10, 5x and 6x. Find the value of x.

A
2
B
4
C
5
D
3
Question 271
Arithmetic

A sum of money at compound interest, compounded annually grows to ₹24000 in 2 years and ₹28800 in 3 years. Find the annual rate of interest.

A
10%
B
25%
C
20%
D
15%
Question 272
Arithmetic

A dealer of stationery items buys two types of pens, named Rajat Pen and Naveen Pen. The cost of 4 Rajat Pens and 6 Naveen Pens together is ₹540. The cost of one Naveen Pen is ₹15 more than the cost of one Rajat Pen. What is the cost of one Rajat Pen?

A
₹42
B
₹50
C
₹48
D
₹45
Question 273
Arithmetic

During a sale, 50% of the goods are sold at 37% profit, 30% of the remaining goods are sold at 26% profit and the still remaining goods are sold at a loss of 24%. If there is an overall profit of x%, then what is the value of x?

A
15
B
13.5
C
14
D
14.5
Question 274
Arithmetic

A milkman adds two litres of water to every eight litres of milk and sells it at 50% more than his cost price of milk. Find the profit percentage of the milkman.

A
75%
B
50%
C
87.5%
D
68.5%
Question 275
Arithmetic

A and B can do a piece of work in 12 days and 36 days, respectively. Both work for 2 days and then A leaves. How long (in days) will B take to complete the remaining work?

A
27
B
30
C
29
D
28