Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The value of \(\sqrt{\frac{1+\sin A}{1-\sin A}} \) is:
sec A - tan A
cosec A + cot A
sec A + tan A
cosec A - cot A
Correct answer
sec A - tan A
The average weight of A, B and C is 77 kg. If the average weight of A and B is 68 kg and that of B and C is 83 kg, then the weight (in kg) of B is:
74
71
73
67
Correct answer
74
In a megastore, the following data reveals the units purchased during the years.
What is the percentage growth in total units purchased (of all the three products) in 2015 and 2020?
| Year | Tea | Coffee | Cold drink |
|---|---|---|---|
| 2015 | 650 | 450 | 1008 |
| 2016 | 730 | 402 | 1092 |
| 2017 | 710 | 354 | 770 |
| 2018 | 570 | 438 | 812 |
| 2019 | 820 | 390 | 1043 |
| 2020 | 830 | 501 | 1330 |
21.68 percent
22.75 percent
26.23 percent
25.76 percent
Correct answer
21.68 percent
In a triangle LMN, OP is a line segment drawn parallel to the side MN. OP intersects the sides LM and LN at O and P, respectively. If LM = 15 cm, OM = 4 cm, and PN = 5 cm, then what is the length (in cm) of the side LN?
16.25
18.75
20.25
22.75
Correct answer
16.25
The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm2) of the hemisphere.
25π
\(\frac{75\pi }{4}\)
\(\frac{50\pi }{4}\)
\(\frac{25\pi }{4}\)
Correct answer
25π
If the HCF of 45 and 55 is expressible in the form of 55 × 5 + 45m, then what is the value of m?
– 6
5
6
Correct answer
– 6
In a ΔPQR, ∠P=90°, ∠R=47° and PS⊥QR. Find the value of ∠QPS.
43°
47°
45°
40°
Correct answer
43°
Find the mean proportion of x3y and xy3.
x2y2
x3y3
xy
x4y4
Correct answer
x2y2
Which of the following numbers leaves the remainder equal to the highest common factor of 6, 8 and 9, when divided by 6, 8 and 9?
291
575
506
433
Correct answer
291
What is the smallest perfect square number which is completely divisible by 4, 6, 9, 12 and 15?
784
900
961
841
Correct answer
784
Find the least number which when divided by 4, 9, 12 and 15, leaves the remainder 3 in each case.
360
183
193
180
Correct answer
360
36 equally efficient workers can paint 25 identical walls in 48 days. In how many days can 45 such workers paint 60 such walls?
92.36
92.16
91.96
91.16
Correct answer
92.36
Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 ∶ 15.
1780
2450
1890
2340
Correct answer
1780
Ramesh gives fifteen per cent additional discount along with a discount of 25% on the marked price of a sofa set. If the selling price of the sofa set is Rs. 12,750, then find the marked price of the sofa set.
Rs. 20,000
Rs. 23,000
Rs. 22,000
Rs. 24,000
Correct answer
Rs. 20,000
Study the given graph and answer the question that follows.
The graph shows data regarding number of boys and girls studying in class 5 in four different schools.
What is the difference between total number of boys studying in school P and Q together and the total number of girls in the same schools together?
38
45
40
35
Correct answer
38
The given pie chart shows the distribution of land under various food crops. The expenditure invested on these food crops is Rs. 25,000 per annum. Study the pie chart carefully and answer the question that follows.
The expenditure invested in Rice and Barley is what percentage (correct to 2 decimal places) of the expenditure invested in Wheat and Bajra?
206.55%
206.66%
260.66%
260.55%
Correct answer
206.55%
A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination. Its usual time to cover the same distance is:
15 minutes
10 minutes
30 minutes
20 minutes
Correct answer
15 minutes
On an item, there is an 18% discount on the marked price of Rs. 26,000. After giving an additional season’s discount, the item is sold at Rs. 16,000. How much was the season’s discount correct upto two places of decimal?
22.45%
24.95%
24.65%
35.25%
Correct answer
22.45%
The least common multiple of 12, 18 and 27 is:
54
216
27
108
Correct answer
54
A cylindrical metallic rod of diameter 2 cm and length 45 cm is melted and converted into wire of uniform thickness and length 5 m. The diameter of the wire is:
3 mm
2 mm
6 mm
5 mm
Correct answer
3 mm
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.