RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 751
Arithmetic

A and B can do a piece of work in 12 days and 20 days, respectively. Both work for 3 days and then A leaves. How long (in days) will B take to complete the remaining work?

A
11
B
13
C
12
D
14
Question 752
Arithmetic

The ratio of land to water for Earth as a whole is 1:3, and it is 2:5 in the Northern hemisphere. If the areas of the Northern and the Southern hemispheres are equal, then the ratio of land to water in the Southern hemisphere is:

A
1:5
B
11:7
C
7:5
D
3:11
Question 753
Arithmetic

The total surface area of a cube having side 64 cm is:

A
24,528 cm 2
B
24,589 cm 2
C
24,576 cm 2
D
24,548 cm 2
Question 754
Arithmetic

Four years ago, Ravi was thrice as old as Kaviraj. At present, Ravi is twice as old as Kaviraj. Find Ravi's age at present.

A
14 years
B
16 years
C
10 years
D
8 years
Question 755
Arithmetic

Find the compound interest on ₹25,600 at the rate of \(12\tfrac12\) % interest per annum for 2 years 3 months, compounded annually.

A
₹8,650.50
B
₹7,812.50
C
₹10,580.50
D
₹9,750.50
Question 756
Arithmetic

A family increases its monthly income by 10% but their monthly expenditure rises by 20%. If their original monthly income was ₹45,000 and monthly expenditure was ₹36,000, what is the new monthly savings after the increase?

A
₹6,400
B
₹6,500
C
₹6,200
D
₹6,300
Question 757
Arithmetic

An article is sold at a profit of 20%. If the selling price is reduced by 10%, what will be the profit percentage?

A
20%
B
8%
C
6%
D
12%
Question 758
Arithmetic

The shadow of a tower increases by 20 m when the sun's altitude changes from 60 \(^\circ\)  to 45 \(^\circ\) . Find the length (rounded off to one decimal place, in m) of the tower.  (Use  \(\sqrt3 = 1.7\) )

A
24.7
B
48.6
C
17.4
D
27.5
Question 759
Arithmetic

The LCM of the numbers 3, 7.2 and 0.64 is:

A
96
B
144
C
153
D
72
Question 760
Arithmetic

If a sum is invested at a simple interest rate of 8% per annum for 9 months to earn an interest of ₹18,000, what was the principal amount invested?

A
₹3,00,000
B
₹2,50,000
C
₹4,00,000
D
₹3,50,000
Question 761
Arithmetic

Pipes C and D can fill a tank of 3,000 litres in 6 hours and 4 hours, respectively. Working together, how many hours will they take to fill a 6,000-litre tank?

A
3.5 hours
B
6 hours
C
4.8 hours
D
4.44 hours
Question 762
Arithmetic

ABCD is a quadrilateral in which AB \(\parallel\) DC, and E and F are the mid points of the diagonals AC and BD, respectively. If AB = 23 cm, BC = 91 cm, DC = 35 cm, and AD = 62 cm, then what is the length (in cm) of EF?

A
7
B
8
C
9
D
6
Question 763
Arithmetic

A man covers a certain distance by train. Had the train moved 14 km/hr faster, it would have taken 35 minutes less. If it moved 10 km/hr slower, it would have taken 30 minutes more. Find the distance covered by the train during the journey.

A
480 km
B
780 km
C
720 km
D
560 km
Question 764
Arithmetic

Find the smallest positive integer that leaves a remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 4 when divided by 5.

A
59
B
69
C
50
D
53
Question 765
Arithmetic

The price of a machine is increased by 20%. Due to a fall in demand, the increased price is then decreased by 25%. Finally, the price is again increased by 10%. The overall percentage change in the price of the machine is:

A
1% increase
B
1.1% decrease
C
1.1% increase
D
1% decrease
Question 766
Arithmetic

The average of 7 consecutive even numbers is 32. Find the sum of the smallest and largest numbers.

A
68
B
62
C
64
D
66
Question 767
Arithmetic

The sum of two positive numbers is 13 and their product is 30. The positive difference between them is:

A
8
B
9
C
12
D
7
Question 768
Arithmetic

Two equal sums of money are lent out for 2 years each, one at 5% per annum simple interest and the other at 7% per annum simple interest. If the difference in simple interest earned on the two sums is ₹40, then what was the principal of each sum (in ₹)?

A
1,400
B
1,000
C
800
D
1,200
Question 769
Arithmetic

In a business, P invests ₹2,00,000 for 8 months, Q invests ₹1,50,000 for 9 months and R invests ₹1,20,000 for some complete months. After a year, out of the profit, R gets a higher profit amount than Q but less than P. If R gets ₹72,000 as profit, then the profit of P is ₹_______.

A
80,000
B
90,000
C
1,00,000
D
1,20,000
Question 770
Arithmetic

When the cost of an article was decreased by 7%, the number of articles sold was increased by 20%. What was the effect (in percentage) on the revenue?

A
increase of 10.4%
B
decrease of 10.6%
C
decrease of 9.6%
D
increase of 11.6%
Question 771
Arithmetic

During a sale, 50% of the goods are sold at 21% profit, 30% of the remaining goods are sold at 43% profit and the still remaining goods are sold at a loss of 17%. If there is an overall profit of x%, then what is the value of x?

A
12
B
11.5
C
10.5
D
11
Question 772
Arithmetic

The radius of a spherical balloon is increased by 20%. Find the percentage increase in its surface area.

A
20%
B
22%
C
44%
D
40%
Question 773
Arithmetic

Evaluate \(22^3 + (-6)^3 + (-16)^3\)

A
6127
B
6147
C
6336
D
6099
Question 774
Arithmetic

A club received an income of ₹7,643 from membership fees and ₹2,198 from selling old sports equipment during the year. At the start of the year, ₹1,105 in membership fees was outstanding, and at the end of the year, ₹916 was still outstanding. If the club incurred expenditures of ₹5,287 on sports material and ₹3,120 on maintenance, what is the club's surplus or deficit for the year?

A
₹2,613 deficit
B
₹2,613 surplus
C
₹1,975 deficit
D
₹1,245 surplus
Question 775
Arithmetic

The monthly charges of a hostel consist of a fixed part and a variable part depending on the number of students. For 25 students, the total bill is ₹17,500. For 40 students, the total bill is ₹25,000. What is the total bill for 60 students?

A
₹32,500
B
₹35,000
C
₹37,500
D
₹30,000