Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The following bar chart shows the vends of foreign direct investment (FDI) into India from all over the world.
For which year is the per cent increase in FDI over the previous year the highest?
1997
1994
1996
1993
Correct answer
1997
One side of the triangle is 15 cm and the corresponding height is 6 cm, then area of the triangle is:
46 sq.cm
45 sq.cm
47 sq.cm
48 sq.cm
Correct answer
46 sq.cm
A thief, seeing a policeman from a distance of 120 metres, starts running at a speed of 7 km/h. The policeman chases immediately with a speed of 8 km/h and the thief is caught. What is the distance run by the thief?
820 m
780 m
840 m
800 m
Correct answer
820 m
The value of \(\frac{\sin A}{\cot A+\operatorname{cosec} A}-\frac{\sin A}{\cot A-\operatorname{cosec} A}-1 \) is:
\(\frac{1}{2}\)
1
0
2
Correct answer
\(\frac{1}{2}\)
The price of a car is first increased by 35% and after that the price is decreased by 25% due to reduction in sales. What is the net percentage change in final price of the car?
Decreases by \(2 \frac{1}{5} %\)
Increases by \(2 \frac{1}{3} %\)
Decreases by \(1 \frac{3}{5} %\)
Increases by \(1 \frac{1}{4} %\)
Correct answer
Decreases by \(2 \frac{1}{5} %\)
Study the given bar-graph and answer the question that follows.
The bar-graph shows the export of rice (in ₹ lakh) during five years.
In how many years was the export of rice less than the average export for the five-year period?
4
1
3
2
Correct answer
4
On a certain sum of money lent out at 16% per annum, the difference between the compound interest for 1 year, payable half-yearly, and the simple interest for 1 year is Rs. 60. The sum is:
Rs. 937.5
Rs. 9,000
Rs. 9,365
Rs. 9,375
Correct answer
Rs. 937.5
If sin2 θ = cos3 θ, then the value of (cot2 θ - cot6 θ) is:
-1
0
2
1
Correct answer
-1
In an assembly election, a candidate got 60% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 1,50,000, then find the number of valid votes polled in favour of that candidate.
90,000
78,000
86,400
88,200
Correct answer
90,000
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.
Find the ratio of the number of successful start-ups in entertainment sector to the total number of start-ups in entertainment since 2016.
5 ∶ 16
5 ∶ 17
7 ∶ 16
25 ∶ 81
Correct answer
5 ∶ 16
A train crosses two persons travelling at 4 km/h and 6 km/h in the same direction in 12 sec and 14 sec, respectively. The speed of the train is ______.
18 km/h
26 km/h
20 km/h
24 km/h
Correct answer
18 km/h
If \(s-{1\over {s-8}}\) = 20, then the value of (s − 8)3 − \(1\over(s-8)^3\) is:
1324
1764
1864
1944
Correct answer
1324
If 1 + sin2 θ – 3 sin θ cos θ = 0, then the value of cot θ is:
0, -2
2, 1
\(1\over 2\), -2
\(1\over 3\), -2
Correct answer
0, -2
If the number 55p1067q9 is exactly divisible by 99, then pq is equal to:
35
28
36
42
Correct answer
35
The salary of an employee was first increased by 15% and then after it was reduced by 10%. What was the percentage change in his salary?
10%
103.5%
3.5%
15%
Correct answer
10%
In an election between two candidates, 85% of the voters cast their votes, out which 4% of the votes were declared invalid. A candidate got 6936 votes which were 85% of the valid votes. Find the total number of voters enrolled in that election.
10,500
10,800
10,000
10,700
Correct answer
10,500
The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?
48
53
49.5
52
Correct answer
48
The following pie chart shows the monthly household expenditure of Family A under various heads. The monthly expenditure incurred for Family A is ₹50,000. Study the chart carefully and answer the question that follows.
What is the ratio of the combined monthly expenditure on Entertainment, Travel and Miscellaneous to the average expenditure on Food, Education, Electricity and Medicine?
69 ∶ 125
69 ∶ 124
124 ∶ 69
31 ∶ 69
Correct answer
69 ∶ 125
If cos4 α − sin4 α = \(5\over 6\), then the value of 2 cos2α − 1 = ______.
\(11\over 6\)
\(5\over 6\)
\(6\over 11\)
\(6\over 5\)
Correct answer
\(11\over 6\)
What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm? (Take π = \(22\over 7\))
3850 cm2
3704 cm2
3750 cm2
3675 cm2
Correct answer
3850 cm2
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.