Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Solve the following equation.
123 × (162 − 142 − 40) ÷ 2 − 94 = ________.
17280
6561
10719
9865
Correct answer
17280
Study the given table and answer the question that follows.
The table shows the consumption of various grains by a total of four families of four members each from 2002 to 2005.
| Year | Wheat (kg) | Rice (kg) | Oats (kg) | Quinoa (kg) |
|---|---|---|---|---|
| 2002 | 162 | 62 | 131 | 61 |
| 2003 | 196 | 80 | 116 | 64 |
| 2004 | 187 | 116 | 103 | 46 |
| 2005 | 189 | 122 | 101 | 45 |
For the total of these four families, what is the difference (in kg) between the average consumption per year of wheat and that of oats?
129.5
90.67
70.75
63.5
Correct answer
129.5
Study the given bar graph to answer the following question. The bar graph shows the length (in thousand kilometers) of mountains, forests and rivers in different states.
The length of mountains in Punjab is what percentage more than the length of rivers in Odisha?
400%
300%
200%
100%
Correct answer
400%
Two trains A and B start running at 80km/h and 82 km/h towards each other from two different stations. They meet after 1 hour and 30 minutes. How far were they from each other when they started?
190 km
262 km
243 km
224 km
Correct answer
190 km
Study the given table and answer the question that follows.
| School name | Total number of students enrolled | Percentage of enrolled students who opted Biology | Ratio of male to female students who opted Biology |
|---|---|---|---|
| A | 900 | 30 | 7 ∶ 8 |
| B | 400 | 38 | 9 ∶ 10 |
| C | 1000 | 24 | 5 ∶ 19 |
| D | 800 | 20 | 5 ∶ 7 |
Find the number of students who opted Biology in School D.
20
160
120
800
Correct answer
20
The radius of a sphere is 21 cm. It is cut into two equal halves by a plane passing through its centre. What is 75% of the curved surface area (in cm2, rounded off to the nearest tens) of the hemisphere? (Take π = \(\frac{22}{7}\))
4160
3470
2080
2770
Correct answer
4160
Which of the following is the value of \(\sqrt{\frac{1-\sin 45^{\circ}}{1+\sin 45^{\circ}}}\)?
cos 45° – tan 45°
tan 45° – sec 45°
tan 45°
sec 45° – tan 45°
Correct answer
cos 45° – tan 45°
Study the following table carefully and answer the questions based on it.
The following table shows the domestic sales of vehicles of four manufacturers from 2010 to 2015.
| Manufacturer | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 |
|---|---|---|---|---|---|---|
| A | 560000 | 700000 | 600000 | 620000 | 650000 | 680000 |
| B | 540000 | 590000 | 570000 | 630000 | 710000 | 650000 |
| C | 610000 | 580000 | 620000 | 680000 | 690000 | 630000 |
| D | 630000 | 570000 | 700000 | 690000 | 700000 | 640000 |
With respect to which of the following combinations, is the sales of vehicles highest over the given period?
A, 2011
B, 2014
D, 2012
D, 2015
Correct answer
A, 2011
Two angles of a triangle are equal and the third angle measures 70°. What is the measure of each of the unknown angles?
75°
45°
65°
55°
Correct answer
75°
The sides of a triangle are 8 cm, 12 cm and 16 cm. What is the area of the triangle?
24√15
6√15
8√15
12√15
Correct answer
24√15
Simplify the following expression.
72 − 42 ÷ 6 of 7 × 4 of 3 ÷ 4 × 3 − 5
32
16
58
45
Correct answer
32
Total number of candidates who appeared and qualified in a competitive examination from different cities are given in the following bar graph. Study the bar graph carefully and answer the following question.
What is the difference between the average number of appeared candidates and the average number of qualified candidates in the exam from all the cities?
525
550
650
625
Correct answer
525
In the following figure, if PT = 12 cm and PB = 24 cm, then find AB.
24 cm
18 cm
16 cm
12 cm
Correct answer
24 cm
If {(1 ÷ x) × (x3 − 2x2) + (43 ÷ 25) × x} ÷ 25 = 1, then the possible values of x is/are:
−5
5
0
Both 5 and −5
Correct answer
−5
The salaries of A,B and C are in ratio 2 ∶ 3 ∶ 4. If increments of 30%, 20% and 10% are allowed, respectively, in their salaries, then what will be the new ratio of their salaries?
22 ∶ 11 ∶ 18
18 ∶ 13 ∶ 22
13 ∶ 18 ∶ 22
22 ∶ 18 ∶ 13
Correct answer
22 ∶ 11 ∶ 18
What will be the actual profit percentage (rounded off to nearest integer) after selling an article at a certain price, while there occurs a loss of 45% on selling the article at \(\frac{3}{8}\) of the selling price?
17 Percent
37 Percent
47 Percent
27 Percent
Correct answer
17 Percent
Find the sum of the numbers between 550 and 700 such that when they are divided by 12, 16 and 24, leave remainder 5 in each case.
1980
1887
1860
1867
Correct answer
1980
In a two-candidate election, 10% of the voters did not cast their ballots. 10% of the votes cast were found invalid. The winning candidate received 54% of the valid votes and a 1620-vote majority. Find the number of people on the voter list who have registered to vote.
25000
26000
24500
25500
Correct answer
25000
If x + y + z = 8, and x2 + y2 + z2 = 20 then the value of x3 + y3 + z3 − 3xyz is ________.
16
10
15
−16
Correct answer
16
What is the total surface area of a solid right circular cylinder of radius 7 cm and height 8 cm? (π = 22/7)
560 cm2
660 cm2
850 cm2
760 cm2
Correct answer
560 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.