Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Kajal offers two successive discounts of 10% and 8% on the sale of a cosmetic item to her customer. What is the equivalent single percentage discount offered by Kajal?
17.8%
17.6%
17.4%
17.2%
Correct answer
17.8%
The diagonal of a cube is 5√3 cm. Find the surface area of the cube.
650 cm2
25 cm2
250 cm2
150 cm2
Correct answer
650 cm2
Roshan owned a plot of land having an area that was 20% more than the area of the plot owned by Susan, while the area of the plot of land owned by Jacob was 30% more than the area of the plot owned by Roshan. If the area of the plot owned by Susan was 1250 square feet, what was the area (in square feet) of the plot owned by Jacob?
2050
1875
1950
2020
Correct answer
2050
If the cylinder height is 9 cm and the base area is 25πcm2 , then find the total surface area.
240 cm2
140 cm2
440 cm2
340 cm2
Correct answer
240 cm2
If class A has 11 boys and 18 girls, class B has 13 boys and 17 girls, and class C has 20 boys and 9 girls, which class has the biggest ratio(s) of boys to girls?
Class A
Both class A and class B
Class C
Class B
Correct answer
Class A
Without actual division, find the remainder when 379843 is divided by 3.
4
1
3
2
Correct answer
4
A completes a piece of work in 4 days and B completes it in 6 days. How long will it take to complete the same piece of work if they both work together?
4 days
3 days
2 (2)/(5) days
2 (3)/(5) days
Correct answer
4 days
Find the simple interest on ₹15,000 at the rate of 7% p.a. for 3 years.
₹3,120
₹3,150
₹3,100
₹3,000
Correct answer
₹3,120
The value of \(\operatorname{cosec} \theta\left[\frac{1+\cos \theta}{\sin \theta}+\frac{\sin \theta}{1+\cos \theta}\right]-2 \cot ^2 \theta\) is equal to:
0
1
2
3
Correct answer
0
If 45% of 50% of a number is 27, then what is the number?
180
160
150
120
Correct answer
180
If A is an acute angle, what is the value of cosec A, if \(\cot A=\frac{2 p}{p^2-1} \)?
\(\frac{\mathrm{p}^2+1}{\mathrm{p}^2-1}\)
\(\frac{\mathrm{p}^2-1}{\mathrm{p}^2+1}\)
\(\frac{\mathrm{p}^2}{\mathrm{p}^2-1}\)
\(\frac{2 p}{p^2+1}\)
Correct answer
\(\frac{\mathrm{p}^2+1}{\mathrm{p}^2-1}\)
The given pie-chart shows the expenditure (in ₹ lakh) of a country on various sports during a particular year. Study the chart carefully and answer the question that follows.
The average expenditure on golf and swimming is what per cent (rounded to 1 decimal place) more or less than the average expenditure on football and cricket?
More, 28.5%
More, 25.5%
Less, 28.5%
Less, 25.5%
Correct answer
More, 28.5%
In an isosceles ΔLMN, LM = LN, and ∠MLN = 37º. Find ∠MNL.
70.0º
65.0º
71.5º
60.5º
Correct answer
70.0º
Sukrit purchased an item for ₹650 and sold it at a profit of 26%. At what price (in ₹) did Sukrit sell the item?
813
823
829
819
Correct answer
813
The present ages of Ramu and Ravi are in the ratio of 4 : 3. After 5 years the ratio of their ages will be 5 : 4. Find their present ages, respectively.
15 years, 12 years
10 years, 15 years
15 years, 20 years
20 years, 15 years
Correct answer
15 years, 12 years
During the lockdown, a state government gives 4.5 kg of rice to each person of a family at a cost price of ₹40 per kg. But the distributor uses false weight of 3.75 kg instead of 4.5 kg and distributes the rice. The accumulated rice was sold in the black market at double the price. He showed the government that he distributed 2700 kg of rice. When caught, he was made to pay a fine of 125% of what he earned in the black market. What was his fine amount?
₹45,000
₹54,000
₹28,000
₹36,000
Correct answer
₹45,000
Study the given bar-graph and answer the question that follows.
The bar-graph shows the percentage revenue allocation by two states in various sectors.
If the amount of money allocated to the two states is ₹20 billion each, then how much more (in rupees) does State A spend on Exports than on Manufacturing?
2.5 billion
1.5 billion
2 billion
3 billion
Correct answer
2.5 billion
Simplify the following expression.
49a2 + 70ab + 25b2
(5a + 7b)2
(5a - 7b)2
(7a - 5b)2
(7a + 5b)2
Correct answer
(5a + 7b)2
Simplify the expression:
(0.2)3 + (0.3)3 + (0.5)3 + 3 × 0.5 × 0.7 × 0.8
0.001
1.525
1.000
0.005
Correct answer
0.001
The following table shows the marks (out of 100 ) obtained by four students in five different subjects.
| Student/Subject | English | Hindi | Maths | Science | Social Science |
|---|---|---|---|---|---|
| Riya | 88 | 94 | 90 | 95 | 93 |
| Charu | 91 | 93 | 88 | 92 | 88 |
| Preeti | 89 | 95 | 91 | 97 | 95 |
| Mohan | 90 | 88 | 95 | 96 | 89 |
How many marks did Preeti score in Science?
95
92
97
96
Correct answer
95
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.