Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A trader sells an article at 16% below its cost price. Had he sold it for Rs. 192.20 more, he would have gained 15%. The new selling price (in Rs.) of the article is:
724
742
731
713
Correct answer
724
Simplify the following. 72 ÷ 8 × 4 +40 - 35 ÷ 5 + 15
24
84
9
48
Correct answer
24
The following table shows the yearly production of bags (in thousands) by different companies.
| Company | 2012 | 2013 | 2014 | 2015 |
|---|---|---|---|---|
| A | 29 | 37 | 38 | 42 |
| B | 30 | 38 | 40 | 39 |
| C | 35 | 30 | 45 | 43 |
| D | 37 | 35 | 42 | 45 |
The total production of company A over the given years is what percentage of the total production of company D over the given years?
91.82%
98.21%
82.91%
89.21%
Correct answer
91.82%
A shopkeeper wanted to sell ₹2,000 worth of products. But he had two options, giving three successive discounts of 10% each or giving a single discount of 28%. What was the difference between the two options of discounts (in rupees)?
16
28
18
22
Correct answer
16
Study the given table and answer the question that follows.
The table shows the number of students studying in 6 different classes of 6 different schools.
| School | V | VI | VII | VIII | IX | X |
|---|---|---|---|---|---|---|
| P | 152 | 160 | 145 | 156 | 147 | 144 |
| Q | 148 | 166 | 150 | 155 | 157 | 143 |
| R | 161 | 152 | 140 | 145 | 143 | 165 |
| S | 159 | 142 | 149 | 140 | 142 | 168 |
| T | 147 | 144 | 158 | 163 | 154 | 150 |
| U | 150 | 160 | 162 | 160 | 161 | 140 |
| Total | 917 | 924 | 904 | 919 | 904 | 910 |
The number of students studying in class VII from school U forms approximately what percentage of the total number of students from all the classes together from that school?
19%
15%
21%
17%
Correct answer
19%
What must be added to (x3 - 3x2 + 4x - 75) to obtain a polynomial that is exactly divisible by (x - 5)?
4
6
2
5
Correct answer
4
If one angle of triangle PQR is greater than the sum of the other two, the triangle PQR will be:
equilateral
acute angle
obtuse angle
right angle
Correct answer
equilateral
A boat can travel 16.9 km downstream in 52 min. If the speed of the current is 3 km/h, then how much time (in hours) will the boat take to travel 84 km upstream?
6.22
6
13.5
7.5
Correct answer
6.22
A shopkeeper offers a discount of 24 % on the marked price. On a special sale day, he offers an extra 30% off coupon after the first discount. If the article was sold for Rs. 7 ,700.70. What is the marked price in Rs. of the article?
17475
14745
14475
17745
Correct answer
17475
The value of (cosec θ - sin θ) (sec θ - cos θ) (tan θ + cot θ) is:
1
sec θ cosec θ
3
-3
Correct answer
1
What is the area of the sector of a circle whose radius is 35 cm and whose arc subtends an angle of 72° at the centre of the circle?
(\(\pi=\frac{22}{7} \))
770 cm2
610 cm2
810 cm2
970 cm2
Correct answer
770 cm2
The height of a cylinder is 8 cm, and its area of the base is 20 cm2. Find its volume?
80 cm3
180 cm3
160 cm3
100 cm3
Correct answer
80 cm3
Swati earns a sum of Rs. 40,000, out of which she saves 25%. She spends the remaining amount on food and education in the ratio of 3 ∶ 2. What is the percentage of expenditure incurred on education to her total income?
30%
60%
40%
20%
Correct answer
30%
The distance between two stations A and B is 800 km. A train covers the journey from A to B at a speed of 90 km/h and returns to A with a uniform speed of 65 km/h. Find the average speed of train during the whole journey (in km/h)?
75.48
70.45
82.36
80.50
Correct answer
75.48
Study the given table and answer the question that follows.
The table shows the number of voters at three different centres A, B, C.
| Centre | Total number of registered voters | Percentage of people who voted (Out of the total number of registered voters) |
|---|---|---|
| A | 4600 | 78 |
| B | 5400 | 70 |
| C | 6500 | 85 |
Number of people who did not vote at centre B is what percentage more than those who did not vote at centre C ?
\(66 \frac{3}{13} %\)
\(66 \frac{1}{13} %\)
\(66 \frac{2}{13} %\)
\(66 \frac{5}{13} %\)
Correct answer
\(66 \frac{3}{13} %\)
Simplify:
27 ÷ 4 of 6 × [16 ÷ 8 × (12 - 8)] - (14 ÷ 7 × 28)
62
-51
-47
27
Correct answer
62
The population of a town increases annually by 20%. If the present population is 80lakh, then what is the difference between the population three years ago and 2years ago?
925925.93
85592.6
65592.6
75592.6
Correct answer
925925.93
A trader gives a 40% discount on his goods. Further, he gives 20% discount on the goods. Find the single discount equivalent to these two successive discounts.
30%
60%
50%
52%
Correct answer
30%
Simplify the given expression.
12.3 - [7 + 0.8 of (5.6 - 3.8 × 1.03)]
1.2368
7.8539
5.2314
3.9512
Correct answer
1.2368
The marked price of an immersion rod in an electronic store is Rs. 900. The store offers a discount of 12% on its sale. At what price (in Rs.) can a customer buy it from the electronic store?
782
797
787
792
Correct answer
782
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.