Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The average age of 3 girls is 24 years and their ages are in the proportion of 7 : 8 : 9. What is the age of the eldest girl?
24 years
25 years
21 years
27 years
Correct answer
24 years
Find the sum of money which must be invested at simple interest for 8 months at 6% per annum in order to earn Rs. 250 as interest.
Rs. 6,550
Rs. 6,225
Rs. 7,250
Rs. 6,250
Correct answer
Rs. 6,550
The cash difference between the selling prices of an article at a profit of 8% and at a loss of 4% is Rs. 54. Find the cost price of the article.
Rs. 720
Rs. 450
Rs. 540
Rs. 480
Correct answer
Rs. 720
A certain number of identical spheres are formed by melting a large sphere of radius 28 cm. What is the number of small spheres formed if the surface area of each small sphere is 2464 cm2? [Use π = \(\frac{22}{7}\)]
8
9
6
7
Correct answer
8
The marked price of a laptop is Rs. 65,000. The laptop is sold at a discount of 20%. If a profit of 30% is made through the sale, then what is the cost price of the laptop?
Rs. 50,000
Rs. 45,000
Rs. 48,000
Rs. 40,000
Correct answer
Rs. 50,000
The following bar chart shows the number of computers sold by a shop in 6 consecutive months.
What is the average number of computers sold per month during this period? [Round off your answer to the nearest integer value.]
204
219
212
208
Correct answer
204
In a city 60% of the population are males and the rest are females. If the ratio of married males to non-married males is 5 : 7, and the ratio of married females to non-married females is 2 : 3, then what percentage of the total population is married?
41%
59%
51%
49%
Correct answer
41%
The simple interest on a sum of money invested for a period of 10 years is equal to \(\frac{4}{5}\)th of the sum invested. What is the rate of simple interest per annum that is being given?
9%
8.5%
10%
8%
Correct answer
9%
A1 alone can complete a piece of work in 14 days, A2 alone can complete the same work in 21 days, while A3 alone can complete the same work in 28 days. The three worked together, completed the work, and received a total payment of Rs. 1,040 for doing the work. What is A2’s share in the total payment received?
Rs. 240
Rs. 480
Rs. 320
Rs. 400
Correct answer
Rs. 240
Ravi buys 5 pens at Rs. 150 each, 2 pencils at Rs. 100 each, and 3 notebooks at Rs. 250 each. What is the average expenditure ​incurred by Ravi per article?
Rs. 180
Rs. 160
Rs. 170
Rs. 165
Correct answer
Rs. 180
Points A and B are 200 km apart. A person starts from A at 10 a.m. at a speed of 10 km/h and goes towards B. Another person starts from B at 11 a.m.at a speed of 20 km/h and goes towards A. At what time will they meet?
5:10 p.m.
4:40 p.m.
5:40 p.m.
5:20 p.m.
Correct answer
5:10 p.m.
A boat can travel in still water at 7 km/h and the speed of the stream is 3 km/h. Find the total time (in hours) taken by the boat to travel 60 km upstream and return to the starting point.
20
15
21
16
Correct answer
20
The length of a rectangle is increased by 16\(\frac{2}{3}\)%. By what approximate percentage should its breadth be decreased so that the area of the rectangle remains unchanged?
17.5%
14.29%
10%
12.5%
Correct answer
17.5%
Study the given pie-chart and answer the question that follows.
The pie-chart shows the percentage-wise distribution of teachers in a district who teach six different subjects as percentages of the total number of teachers of all the subjects taken together.
What is the ratio of the number of teachers who teach English to the number of teachers who teach Chemistry?
3 : 2
23 : 18
24 : 23
13 : 20
Correct answer
3 : 2
Select the number that will come in place of the question mark (?) in the mathematical statement.
(0.064)123 ÷ 0.1647 × 0.434 × 0.429 = (0.4)?
350
320
338
341
Correct answer
350
A boat can travel 42 km in 6 hours while going upstream. If the speed of the stream is 2km/h, then how much distance will the boat cover in 12 hours while going downstream?
156 km
120 km
132 km
144 km
Correct answer
156 km
The value of [12 × 5 - {200 - (501 + 247 - 386)}] ÷ 2 is:
82
111
61
62
Correct answer
82
The perimeter of an equilateral triangle is 36 cm. What is the area of this triangle?
96\(\sqrt 3 \)Â cm2
36\(\sqrt 3 \)Â cm2
24\(\sqrt 3 \)Â cm2
27\(\sqrt 3 \)Â cm2
Correct answer
96\(\sqrt 3 \)Â cm2
A can do a work in 10 days and B can do the same work in 15 days. If they work on it together for 4 days, then the fraction of the work that is left is:
\(\frac{2}{3}\)
\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qadaWcaaWdaeaapeGaaG4maaWdaeaapeGaaGynaaaaaaa!37DE! \frac{3}{5}\)(\frac{3}{5}\)
\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qadaWcaaWdaeaapeGaaG4maaWdaeaapeGaaGinaaaaaaa!37DD! \frac{3}{4}\)(\frac{3}{4}\)
\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa8 % qadaWcaaWdaeaapeGaaGymaaWdaeaapeGaaG4maaaaaaa!37DA! \frac{1}{3}\)(\frac{1}{3}\)
Correct answer
\(\frac{2}{3}\)
The average of 11 observations is 10, that of the first 6 being 9 and that of the last 6 being 11. What is the 6th observation?
11
8
9
10
Correct answer
11
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.