Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A person borrowed Rs. 1760 at 6% per annum and Rs. 2240 at 9% per annum at simple interest for the same period. He had to pay Rs. 1536 in all as interest. Find the time (in years).
2
3
4
5
Correct answer
2
The possible value of x satisfying \(\frac{(143 \div 13 \times x-3 \times 3)}{\left(6^2-7 \times 5+x^2\right)}=1\) is:
4
1
3
2
Correct answer
4
If the sum of two numbers x and y is 12 and their product is 27, then find the sum of their cubes.
576
657
756
765
Correct answer
576
The fourth proportional to 4, a and 16a is 81. What is the value of a?
(13)/(2)
(5)/(2)
(9)/(2)
(11)/(2)
Correct answer
(13)/(2)
If cot θ =28/45, then find the value of (sin θ - cos θ).
7/53
17/53
28/53
45/28
Correct answer
7/53
A car covers 20 km in the first quarter of an hour, 25 km in the second quarter of that hour and 15 km in the third quarter. The average speed of the car (in km/h) over the entire journey is:
80
70
65
75
Correct answer
80
57% of Ranita’s weekly income is equal to 76% of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by Rs. 400, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been 6 : 5. What is Bhaskar’s weekly income (in Rs.)?
3000
4000
2800
3200
Correct answer
3000
Ramanna purchased raw materials for a certain price to manufacture a product. However, owing to a shortage of labour, 22.5% of the raw materials could not be utilised and got wasted. 80% of the cost of raw materials used was added as the cost of manufacturing. If Ramanna could sell his product at a price to earn an overall profit of 20% after offering a discount of 20%, how many times of the total cost of the raw materials purchased was the marked price of the product?
2.43 times
2.40 times
2.44 times
2.42 times
Correct answer
2.43 times
The value of 52 - [18 ÷ 3 + 3 + (18 - 11) of 4] is equal to:
18
15
21
22
Correct answer
18
In ∆ABC, P is a point on AB such that PB : AP = 3 : 4 and PQ is parallel to AC. If AR and QS are perpendicular to PC and QS = 9 cm, what is the length (in cm) of AR?
35
28
21
14
Correct answer
35
The value of 35 - [28 - (60 ÷ 4 + 26 ÷ 13)] is equal to:
22
24
27
26
Correct answer
22
If x + y + z = 1, xy + yz + zx = -1 and xyz = -1, then (x3 + y3 + z3) is equal to ________.
1
3
2
0
Correct answer
1
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 X from school P forms approximately what percentage of the total number of students studying in class X from all schools together?.
32%
24%
16%
8%
Correct answer
32%
A man wishes to cover 1 km distance in river water. In still water he takes 12 minutes to cover it, but in the flowing river he takes 13 minutes. The speed of the flowing water of the river is:
22 km/h
\(\frac{7}{12}\) km/h
25 km/h
\(\frac{5}{13}\) km/h
Correct answer
22 km/h
A can complete a piece of work alone in 200 days, while B can complete the same piece of work alone in 100 days. In every three-day cycle, both A and B work on day 1, only A works on day 2, and only B works on day 3. This cycle continues till the work is completed. How many days in all does it take the duo to complete the work?
100
\(99 \frac{2}{3} \)
\(100 \frac{1}{2} \)
\(100 \frac{1}{3}\)
Correct answer
100
The cost price of 36 articles is the same as the selling price of N articles. If the profit is 20%, then the value of N is:
40
30
25
42
Correct answer
40
Find the value of 12 + 24 ÷ 2 - 7 × 30 ÷ 6 + (5 + 4) × 8 + 8 ÷ 8 - 8.
45
54
85
58
Correct answer
45
If the radius of a sphere is 2.1 cm, then the volume of sphere is equal to:
38.088 cm3
36.808 cm3
38.808 cm3
36.088 cm3
Correct answer
38.088 cm3
In an election between two candidates, one got 60% of the total valid votes. 25% of the votes were invalid. If the total number of votes was 15,000, then find the number of valid votes that the other candidate got.
5,000
4,500
5,550
6,750
Correct answer
5,000
How many metres of cloth will be required to make a conical tent, the radius of whose base is 21 metres and height is 28 metres. The width of the cloth is 5 metres. (Where \(\pi=\frac{22}{7}\))
478
462
456
470
Correct answer
478
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.