Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Elizabeth went to a furniture store and purchased a study table. She received a 20% discount on it. She would have saved Rs. 1,000 more if she had received a 25% discount. What was the marked price of the study table?
Rs 21,100
Rs 20,000
Rs 18,900
Rs 19,200
Correct answer
Rs 21,100
The LCM and ratio of three numbers are 1386 and 3 ∶ 7 ∶ 11, respectively. The sum of the greatest and least numbers is:
60
64
84
108
Correct answer
60
If tan 45o + sec 60o = x, fine the value of x.
1
4
3
2
Correct answer
1
Simplify the following expression.
25 ÷ 5 of 12 × 2 − 9 ÷ 27 of 3 × 5 − 14 ÷ 28 × 4
\(-41\over 91\)
\(-31\over9\)
18
\(-31\over 18\)
Correct answer
\(-41\over 91\)
Solve the following.
[252 + 8 ÷ 23 − {16 + (28 of 7 ÷ 22) − (182 ÷ 122 of \(1\over 8\))}]
626
529
721
579
Correct answer
626
A can run 250 m in 25 sec and B in 30 sec. How many metres start can A give to B in a km race so that the race may end in a dead-heat?
169.53 m
173.82 m
166.67 m
186.34 m
Correct answer
169.53 m
In a circle of radius 5 m, AB and CD are two equal and parallel chords of length 8 m each. What is the distance between the chords?
5 m
6 m
3 m
8 m
Correct answer
5 m
Reena, Veena and Vimla can do a work in 4 h, 8 h and 12 h respectively. In how much time will they finish the work working together?
\({2\over11}\ h\)
\(5{2\over11}\ h\)
\(3{2\over11}\ h\)
\(2{2\over11}\ h\)
Correct answer
\({2\over11}\ h\)
A merchant marks up the price of his goods by 40% more than the cost price. He then sells \(1\over5\)th of his goods at a discount of 10%, half of the goods at the marked price and the rest of the goods at a discount of 20%. Find his profit percentage.
20.4%
30.2%
28.8%
14.6%
Correct answer
20.4%
In an election between two candidates, a candidate secured 60% of the valid votes and is elected by a majority of 180 votes. The total number of valid votes is:
1200
1000
800
900
Correct answer
1200
Ankita can write a manuscript in 20 days. Ankita, along her friend Somya, can write the manuscript in 12 days. In how many days can Somya alone write the manuscript?
22
32
28
30
Correct answer
22
The following pie charts show the number of start-ups started in various sectors since 2016 and the number of successful start-ups in those sectors respectively.
What is the ratio of the number of successful start-ups to that of the number of unsuccessful start-ups in the Fin-tech sector?
3 ∶ 4
13 ∶ 18
23 ∶ 32
13 ∶ 19
Correct answer
3 ∶ 4
In a test (+5) marks are given for every correct answer and (−2) marks are given for every incorrect answer. Jay answered all the questions and scored (−12) marks, though he got 4 correct answers. How many of his answers were INCORRECT?
8
32
16
20
Correct answer
8
A car starts at 3 p.m. at a speed of 50 km/h. Another car follows it at 4 p.m.at a speed of 75 km/h. At what time will the two cars will meet?
6 p.m.
5 p.m.
7 p.m.
8 p.m.
Correct answer
6 p.m.
The percentage distribution of Anil's expenditures is presented in the given pie chart.
What is the corresponding central angle for Anil's expenses on Power and fuel?
50°
54 °
55 °
52 °
Correct answer
50°
Swastik purchased a laptop for Rs. 75,000 and sold it to Anju suffering a loss of 10%. Anju sold the same laptop after earning a profit of 20%. At what price (in Rs.) did Anju sell the laptop?
Rs. 78,500
Rs. 85,000
Rs. 81,000
Rs. 90,000
Correct answer
Rs. 78,500
The area of a trapezium shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?
60 feet
35 feet
40 feet
65 feet
Correct answer
60 feet
The following table gives quantity of various items used by a restaurant during four months of the year (In kg.)
| Food Item | March | April | May | June |
|---|---|---|---|---|
| A | 220 | 180 | 270 | 320 |
| B | 255 | 320 | 390 | 420 |
| C | 280 | 295 | 280 | 315 |
| D | 350 | 310 | 250 | 280 |
| E | 308 | 340 | 350 | 365 |
The quantity of E used in the month of March is what percentage of the total quantity of food items used in the May?
20%
14%
12.3%
17.8%
Correct answer
20%
If the hypotenuse of an isosceles right-angled triangle is 10 cm, then the other two sides (in cm) are ______.
10√2 and 10√2
8√2 and 8√2
6√2 and 6√2
5√2 and 5√2
Correct answer
10√2 and 10√2
AB is a chord in a circle of radius 13 cm. From centre O, a perpendicular is drawn through AB intersecting AB at point C. The length of OC is 5 cm. What is the length of AB?
24 cm
12 cm
20 cm
15 cm
Correct answer
24 cm
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.