RRB-NTPC 2016 Mathematics

Practice subject-wise previous year questions

Question 26
Arithmetic

Two tangents, PQ and QR, are drawn from an external point Q to a circle of centre O. If OQ = 41 cm, $∠PQR=60^0$ and the radius of the circle is 9 cm, find the perimeter of $ΔPRQ$  

A
80 cm
B
135 cm
C
120 cm
D
95 cm
Question 27
Arithmetic

If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '−', what will come in place of '?' in the following equation?  24 C 16 D 8 A 4 B 2 = ?

A
40
B
32
C
36
D
28
Question 28
Arithmetic

The largest four-digit number which when divided by 8, 7 and 11 leaves remainder 4 in each case is:

A
9956
B
9811
C
9860
D
9624
Question 29
Arithmetic

P, Q, S, T, Y and Z each scored different marks. Only two people have scored more than Y. Only S has scored less than P. T has scored more than Q but less than Z.  How many people have scored more than T?

A
Two
B
Three
C
One
D
Four
Question 30
Arithmetic

Which soil type is traditionally regarded as the most suitable for cotton cultivation in India because of its high moisture-retention capacity?

A
Desert soil found in arid western regions
B
Black soil rich in clay and moisture
C
Alluvial soil deposited by Himalayan rivers
D
Laterite soil found in high rainfall areas
Question 31
Arithmetic

A scientist observes a plant cell containing many colorless plastids in the storage tissue of a potato tuber. Which function is most likely associated with these plastids?

A
Capturing sunlight to produce energy
B
Producing amino acids for protein synthesis
C
Storing starch produced through photosynthesis
D
Synthesizing red and yellow pigments
Question 32
Arithmetic

Which application software allows users to immediately see the result of a change in data?

A
Spreadsheet
B
Word processor
C
Presentation tool
D
Database software
Question 33
Arithmetic

The famous novel "The Guide" was written by which Indian author?

A
Raja Rao
B
Vikram Seth
C
Khushwant Singh
D
R.K. Narayan
Question 34
Arithmetic

You have a large dataset and need to sort it frequently based on different columns. What is an efficient way to quickly access and apply different sorting criteria without repeatedly opening the “Sort” dialogue box?

A
Record a macro for each commonly used sort order.
B
Create Slicers for each column you want to sort by.
C
Add the “Sort” command to the Quick Access Toolbar and configure the sort settings each time.
D
Manually select the desired column each time and use the quick sort buttons.
Question 35
Arithmetic

A dealer sells a product at 15% profit. If he had bought it at 10% less and sold it for ₹126 less, he would have gained 20%. Find the cost price.

A
₹1,400
B
₹1,800
C
₹2,000
D
₹1,200
Question 36
Arithmetic

Three numbers are in the ratio 4 : 13 : 9, and their LCM is 6084. Their HCF is:

A
23
B
13
C
12
D
48
Question 37
Arithmetic

The present age of a man is 4 years more than twice the present age of his son. After 6 years, the sum of their ages will be 58 years. What is the present age of the son?

A
10 years
B
11 years
C
14 years
D
9 years
Question 38
Arithmetic

What sum (in ₹) will earn a simple interest of ₹1,320 in 3 years at 20% per year rate of interest?

A
4,400
B
2,200
C
1,100
D
792
Question 39
Arithmetic

A fruit seller sold mangoes at ₹600 per box last month. This month, he first increased the price by 10% due to transportation costs and then offered a discount of 15% on the increased price. What is the final price of one box of mangoes?

A
₹571
B
₹541
C
₹561
D
₹551
Question 40
Arithmetic

A train of length 180 meters is running at a speed of 72 km/h. How much time will it take to cross a bridge 350 meters long?

A
26.5 seconds
B
24.5 seconds
C
23.5 seconds
D
27.5 seconds
Question 41
Arithmetic

The sum of two positive numbers is 27 and their product is 170. The positive difference between them is:

A
7
B
12
C
19
D
2
Question 42
Arithmetic

A streaming service charges ₹150 per month. If you buy an annual plan (12 months) with a 15% discount, what is your total savings (in ₹) compared to paying monthly for a year?

A
180
B
300
C
240
D
270
Question 43
Arithmetic

If the interest on a sum of ₹y at 10% per annum compounded annually for 2 years is ₹462, then the total amount payable at the end of the two-year period will be _________.

A
₹2,762
B
₹2,962
C
₹2,662
D
₹2,862
Question 44
Arithmetic

The value of a machine depreciates by 10% every year. What is the total percentage depreciation after 2 years?

A
21%
B
20%
C
19%
D
22%
Question 45
Arithmetic

A shopkeeper offers the following schemes on toys of the same marked price.  (A) Successive discounts of 16% and 29% on any number of toys bought.  (B) Successive discounts of 4%, 34% and 37% on any number of toys bought.  (C) 12% discount on the first 4 toys and 27% discount on each toy thereon.  (D) 4 toys free of cost on buying 10 toys.  A customer wants to buy 10 toys. Which of the above schemes is the least beneficial to her?

A
B
B
C
C
A
D
D
Question 46
Arithmetic

Pipes X, Y, and Z together can fill a tank in 8 hours. If all three work together for 3 hours, and then pipe Z is closed, the remaining tank is filled by X and Y in 10 hours. In how many hours can pipe Z alone fill the empty tank?

A
18
B
16
C
32
D
24
Question 47
Arithmetic

Two bells are rung at intervals of 1,764 seconds and 2,268 seconds, respectively. They are rung together at the start. After how much time will the two bells ring together again for the first time?

A
4 hours 24 minutes 36 seconds
B
4 hours 36 minutes 24 seconds
C
4 hours 18 minutes 12 seconds
D
4 hours 12 minutes 18 seconds
Question 48
Arithmetic

Two taps can fill a cistern in 2 hours and 37 hours, respectively. A third tap can empty it in 37 hours. How long (in hours) will it take to fill half of the empty cistern if all the taps are opened together?

A
3
B
1
C
2
D
4
Question 49
Arithmetic

The ratio of two numbers is 3 : 5. If 6 is subtracted from each, the resulting numbers are in the ratio 1 : 2. Find the difference between the two original numbers.

A
14
B
16
C
10
D
12
Question 50
Arithmetic

If a two-digit number has a digit sum of 9 and adding 27 reverses its digits, determine the unit digit of the number.

A
3
B
5
C
4
D
6