Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A bus covers the first 50 km of its journey in 40 minutes and covers the remaining 75 km in 40 minutes. What is the average speed (in km/h) of the bus?
\( 101 \frac{1}{4} \)
\( 105 \frac{3}{4} \)
\( 93 \frac{3}{4} \)
\( 95 \frac{1}{4} \)
Correct answer
\( 101 \frac{1}{4} \)
The strength of a school increases and decreases every alternate year by 15%. If it started with an increase in 2012, then the strength of the school in the beginning of 2015, as compared to that in 2012, had (correct to two decimal places):
Decreased by 13.85%
Increased by 12.41%
Decreased by 12.41%
Increased by 13.85 %
Correct answer
Decreased by 13.85%
What annual instalment will discharge a debt of Rs. 10,192 due in 3 years at 10% simple interest?
Rs. 3,044.48
Rs. 3,088.48
Rs. 3,144.48
Rs. 3,188.48
Correct answer
Rs. 3,044.48
Study the given table and answer the question that follows.
The table shows the percentage population of four states below poverty line and proportion of male to female.
| State | Percentage of population below poverty line | Proportion of male to female | |
|---|---|---|---|
| Below poverty line | Above poverty line | ||
| Male : Female | Male : Female | ||
| A | 36 | 5 ∶ 3 | 3 : 4 |
| B | 27 | 6 ∶ 7 | 4 ∶ 7 |
| C | 46 | 2 ∶ 3 | 3 ∶ 1 |
| D | 32 | 1 ∶ 2 | 2 ∶ 7 |
If the population of states A and D is 18,000 each, then what is the total number of females below poverty line in these states?
6250
6270
6120
6050
Correct answer
6250
Find the area of a minor sector of a circle whose circumference is 88 cm and the length of its minor arc is 22 cm (use л = \(\frac{22}{7}\)).
415 cm²
154 cm²
451 cm²
145 cm²
Correct answer
415 cm²
In a class, the numbers of boys and girls are in the ratio of 3 ∶ 5. What is the percentage of boys in the class?
60%
12.5%
42.5%
37.5%
Correct answer
60%
The given pie chart shows the percentage distribution of a mathematics book in 5 different stores.
Find the central angle for the book in store S.
107.3°
122.4°
118.9°
117.5°
Correct answer
107.3°
The value of 3 + 2 × [7 + (5 + 7) ÷ 2] is equal to:
29
65
39
47
Correct answer
29
A merchant bought two watches for Rs. 9,000 each. He sold one watch at a loss of 10%. At what price (in Rs. ) should he sell the other watch to earn a profit of 18% overall?
14,310
14,130
13,410
13,140
Correct answer
14,310
If sin α = \( \frac{5}{13} \), then the value of cos α cosec α cot α is _____.
\( \frac{12}{5}\)
\( \frac{25}{144}\)
\( \frac{144}{25}\)
\( \frac{5}{12} \)
Correct answer
\( \frac{12}{5}\)
Study the given pie-chart and answer the question that follows.
The pie-chart shows the amount of money (in ₹) spent (in degrees) on various sports by a school administration in a particular year.
If Rs. 21,000 was spent on Football, then the money spent on Tennis and Basketball taken together is what percentage (rounded off to 2 decimal places) of money spent on Hockey and Cricket taken together?
39.65%
47.25%
23.50%
32.75
Correct answer
39.65%
A copper sphere of diameter 12 cm is drawn into a wire of diameter 4 mm. What is the length (in cm) of the wire? (Where л = \(\frac{22}{7}\))
7823
8342
9000
7200
Correct answer
7823
Ashu can row 7.5 km an hour in still water. He finds that it takes four times as much time to row upstream, as it takes to row downstream. The speed of the stream is:
2.5 km/h
4.5 km/h
3.5 km/h
1.5 km/h
Correct answer
2.5 km/h
The marked price of an article is 35% more than its cost price. If a discount of 15% is given, what will be the profit percentage?
\( 12 \frac{3}{4}\)%
\( 10 \frac{1}{4}\)%
\( 14 \frac{3}{4}\)%
\( 13 \frac{2}{3} \)%
Correct answer
\( 12 \frac{3}{4}\)%
The savings and expenditure of a family in a month on different heads is shown in the given pie chart. The family saves Rs. 8,000 per month.
Find the expenditure (in Rs.) on education.
2500
4000
3500
3000
Correct answer
2500
Three boys, on an average, are 25 years old, and their age are in the ratio of 3 ∶ 5 ∶ 7. What is the age of youngest boy?
21 years
12 years
15 years
24 years
Correct answer
21 years
Arvind works 4 times as fast as Suresh. If Suresh can complete a work in 20 days independently, then find the number of days in which Arvind and Suresh can together finish the work.
6
5
3
4
Correct answer
6
Find the value of (13.49 + 12.51) × 13.
438
238
138
338
Correct answer
438
The volume of a cube is four times the volume of a cuboid. If the sides of the cuboid are 32 cm, 8 cm and 4 cm, then find the ratio of the total surface area of the cube to that of the cuboid.
24 ∶ 13
22 ∶ 13
21 ∶ 13
23 ∶ 13
Correct answer
24 ∶ 13
Study the given table and answer the question that follows.
The table shows the yearly production (in thousands) of scooters in five different factories (P, Q, R, S and T) from 1985 to 1989.
Yearly production (in thousands) of scooters in different factories.
| Factory | 1985 | 1986 | 1987 | 1988 | 1989 |
|---|---|---|---|---|---|
| P | 20 | 15 | 24 | 13 | 17 |
| Q | 16 | 23 | 41 | 20 | 15 |
| R | 14 | 21 | 30 | 16 | 12 |
| S | 25 | 17 | 15 | 12 | 22 |
| T | 40 | 32 | 39 | 41 | 35 |
| Total | 115 | 108 | 149 | 102 | 101 |
In which year was the production of scooters in all factories equal to the yearly average number of scooters produced from 1985 to 1989?
1986
1987
1985
1988
Correct answer
1986
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.