Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Class X has 45 students scoring average marks of 30 and class Y has 35 students scoring average marks of 18. Find the average marks of the students of both classes together.
25
24.75
28.50
30
Correct answer
25
36 persons can do a work in 10 days, working 6 hours a day. In how many days will 24 persons, working 9 hours a day complete the work?
10
8
4
6
Correct answer
10
X and Y can do a piece of work in 18 days and 27 days, respectively. Starting with X, they work on alternate days. The whole number of days to complete the work by X and Y is:
20
21
24
22
Correct answer
20
A shopkeeper bought 30 books and sold 25 books for same price. What percentage had he gained or lost?
25% loss
25% gain
20% gain
20% loss
Correct answer
25% loss
Which number should be added to 3, 11, 4 and 14 to make them in proportion?
3
2
4
1
Correct answer
3
The base of a parallelogram is thrice its height. If the area of the parallelogram is 1020 cm2, then what is its height?
2\( \sqrt{85}\) cm
\(\sqrt{89}\) cm
\(\sqrt{82}\) cm
2\( \sqrt{84}\) cm
Correct answer
2\( \sqrt{85}\) cm
Study the given pie-chart and answer the question that follows.
The pie-chart shows the spendings of a sports academy on various sports during a particular year.
How much percentage more is spent on Hockey than that on Golf?
65%
25%
75%
70%
Correct answer
65%
The number 2918245 is divisible by which of the following numbers?
3
9
11
12
Correct answer
3
The area of an equilateral triangle is 289\( \sqrt{3}\) cm2. Find the length (in cm ) of its sides.
34
17
27
36
Correct answer
34
If an electricity bill is paid before the due date, one gets a reduction of 10% on the amount of the bill. By paying the bill before the due date, a person got a reduction of ₹23. The amount of his electricity bill (in ₹) was:
380
250
520
230
Correct answer
380
In a circular race of 840 m, A and B start running in the same direction at the same time from the same point at the speeds of 6 m/s and 12 m/s, respectively. After how much time will they meet next?
140 s
20 s
70 s
40 s
Correct answer
140 s
625 + 626 + 627 + 628 is divisible by:
254
259
258
255
Correct answer
254
A certain sum of money amounts to ₹1,250 in 4 years and to ₹1,520 in \(5 \frac{1}{2}\) years at a certain rate of simple interest. Find the rate of interest per annum (correct to two places of decimals).
43.96%
33.96%
23.96%
53.96%
Correct answer
43.96%
A shopkeeper claims to sell 450 kg rice at a cost price of ₹40 per kg but uses a weight of 900 grams instead of a one kilogram weight. He makes a profit of ₹2,520 by selling the remaining rice in the black market. The ratio of the black-market price to the original price per kg of rice is:
7 : 5
10 : 7
9 : 4
4 : 3
Correct answer
7 : 5
Simplify the given expression. \(\frac{[1.5 \times 1.5 \times 1.5+2.7 \times 2.7 \times 2.7+4.8 \times 4.8 \times 4.8-3 \times 1.5 \times 2.7 \times 4.8]}{[1.5 \times 1.5+2.7 \times 2.7+4.8 \times 4.8-1.5 \times 2.7-2.7 \times 4.8-4.8 \times 1.5]}\)
12
9
10
14
Correct answer
12
A person spends 60% of his income. His income increased by 30% and he increased his expenditure by 20%. His percent savings will then be increased by:
48%
45%
46%
42%
Correct answer
48%
A shopkeeper announced 17% rebate on the marked price of an article. If the selling price of the article is ₹1,245, then the marked price (in ₹) of the article is:
1500
1780
1600
1820
Correct answer
1500
Evaluate. \(\left(\frac{\sin 23^{\circ} \cos 67^{\circ}+\cos 23^{\circ} \sin 67^{\circ}}{\operatorname{cosec}^2 15^{\circ}-\tan ^2 75^{\circ}}\right)^3\)
0
1
8
-1
Correct answer
0
In ΔOPQ, ∠O = 50°, ∠P = 70°, and the bisectors of ∠P and ∠Q meet at R. Find ∠PRQ.
125°
115°
120°
118°
Correct answer
125°
A can do a piece of work in 25 days. After working for 5 days, he took help of B and completed the work in 8 days. If both A and B had worked together from the beginning, in how many days would they have completed the work?
12
14
10
15
Correct answer
12
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.