Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Two trains are moving towards each other at the speeds of 70 km/h and 85 km/h. Their lengths are 210 m and 255 m, respectively. How much time will they take to cross each other completely?
10.8 seconds
18.2 seconds
14.0 seconds
18.0 seconds
Correct answer
10.8 seconds
What is the value of \(\frac{3}{7}\) of \(\frac{5}{11}+\frac{8}{7}\div\frac{24}{21}-\frac{11}{56}\times\frac{18}{33}\) ?
\(\frac{335}{308}\)
\(\frac{308}{325}\)
\(\frac{175}{316}\)
\(\frac{118}{311}\)
Correct answer
\(\frac{335}{308}\)
A bag is sold at a discount of 12.5%. The marked price of the bag is Rs. 6,400 and the profit earned is 25%. What is the cost price of the bag?
Rs. 4,260
Rs. 4,480
Rs. 4,640
Rs. 4,120
Correct answer
Rs. 4,260
For a sum of Rs. 5,000, what is the difference between the compound interest and simple interest for 2 years if the rate of interest is 5% per annum, and in the case of compound interest, the interest is compounded annually?
Rs. 7.5
Rs. 10.5
Rs. 25
Rs. 12.5
Correct answer
Rs. 7.5
How many numbers are there between 200 and 400 that are divisible by both 6 and 5?
9
6
7
8
Correct answer
9
The selling price of an article is three times of the loss incurred on selling this article. What is the loss percentage?
50%
33.33%
40%
25%
Correct answer
50%
What is the average of 512, 620, 428, and 580?
560
480
495
535
Correct answer
560
If 35% of X = 42.5% of 700, then what is the value of x?
950
800
850
900
Correct answer
950
The average of X and Y is 10X. What is the value of Y?
16X
9X
18X
19X
Correct answer
16X
The following pie chart shows percentage figures of the number of cars sold of 8 different brands in a particular year.
If the total number of cars sold of these 8 brands taken together during the given year is 2800, then what is the difference between the numbers of cars sold of B2 and of B6?
196
140
252
224
Correct answer
196
The length and the breadth of a rectangle are 12 cm and 6 cm, respectively. What is the area of the rectangle?
144 cm2
72 cm2
56 cm2
96 cm2
Correct answer
144 cm2
If P ∶ Q = 4 ∶ 5 and P ∶ R = 2 ∶ 3, then what 3P ∶ 4Q ∶ 5R?
6 ∶ 10 ∶ 15
4 ∶ 9 ∶ 11
8 ∶ 12 ∶ 17
3 ∶ 5 ∶ 7
Correct answer
6 ∶ 10 ∶ 15
The following pie chart gives the measures of the central angles of the sectors that reflect the number of beds in each of 7 different hospitals with respect to the total number of beds in these 7 hospitals taken together.
If the number of beds in H7 are 39, then what is the total number of beds in all the 7 hospitals taken together?
720
540
450
630
Correct answer
720
What is the value of \(\frac{0.6\div0.6\times0.6+0.5\times0.5\div0.5}{0.6\times0.5+0.3}\) ?
\(\frac{10}{7}\)
\(\frac{11}{6}\)
\(\frac{7}{3}\)
\(\frac{13}{6}\)
Correct answer
\(\frac{10}{7}\)
The following bar chart shows the exports (in Rs.‘10000) of an item from a country for 5 consecutive years.
What is the average value of the export of that item from the given country per year?
Rs. 5,96,000
Rs. 6,32,000
Rs. 6,24,000
Rs. 6,48,000
Correct answer
Rs. 5,96,000
S1 can do a piece of work alone in 9 days, S2 can do the same work alone in 18 days, while S3 can do it alone in 27 days. They work together and complete the work, and receive a total of Rs. 726 as payment for doing the work. What is the combined share of S2 and S3, taken together from the above amount?
Rs. 270
Rs. 300
Rs. 330
Rs. 360
Correct answer
Rs. 270
An article is sold at a loss of 40%. The nominal amount of loss is approximately what percentage of the selling price of the article?
66.67%
38.33%
41.33%
51.33%
Correct answer
66.67%
A person spends 40% of his monthly income. The monthly income of the person is increased by 15% and his expenditure is decreased by 22%. What is the approximate percentage increase in his savings?
40%
44%
32%
36%
Correct answer
40%
A container contains a mixture of two liquids, A and B, in the proportion 7 ∶ 5. If 9 liters of the mixture is replaced by 9 liters of Liquid B, then the ratio of the two liquids becomes 7 ∶ 9. How much of liquid A was there in the container initially?
21 litres
35 litres
40 litres
19 litres
Correct answer
21 litres
Kirti invested a sum of money at a certain rate of simple interest per annum for 3 years in ‘“Bachat scheme’. Had she invested the same sum in “Shiksha scheme” for 3 years which has a 2% higher simple interest rate per annum, the investment would have fetched Rs. 540 more. How much did Kirti invest?
Rs. 9,500
Rs. 9,000
Rs. 7,000
Rs. 8,000
Correct answer
Rs. 9,500
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.