Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A shopkeeper expects a gain of 36% on his cost price. If in a month, his sale was ₹6,14,856, then what was his profit (in ₹)?
1,61,235
1,63,900
1,62,756
1,62,800
Correct answer
1,61,235
If an electricity bill is paid before the due date, one gets a reduction of 5% on the amount of the bill. By paying the bill before the due date, a person got a reduction of ₹250. The original amount of his electricity bill (in ₹) was:
4000
4500
5000
5500
Correct answer
4000
A teacher travelled a distance of 22 km in 7 hours. He travelled partly on foot at the speed of 2 km/h and partly on bicycle at the rate of 4 km/h. The distance travelled on foot is:
10 km
3 km
6 km
8 km
Correct answer
10 km
A sum of ₹2,400 gives a simple interest of ₹378 in 2 years 4 months. What is the rate of interest per annum?
6.95%
6.75%
6.85%
7.05%
Correct answer
6.95%
In an election between two candidates, 75% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 9504 votes, which were 80% of the valid votes. Find the total number of votes enrolled in that election.
12,672
13,200
16,500
12,375
Correct answer
12,672
The average age of all the students of a class is 18 years. The average age of the boys of the class is 19 years and of the girls is 14 years. If the number of girls in the class is 30, then what is the number of boys in the class?
100
120
140
110
Correct answer
100
The radius of a hemisphere is 9 cm. Its volume will be:
712π cm3
243π cm3
486π cm3
972π cm3
Correct answer
712π cm3
₹1,380 has to be paid after 4 years. If four equal instalments are required with a simple interest of 10% on each instalment, then what is the value of each instalment?
₹200
₹500
₹300
₹400
Correct answer
₹200
A garrison of 140 men has provisions for 35 days. At the end of 10 days, 35 more men joined them. How many days can they sustain on the remaining provisions?
10
20
25
35
Correct answer
10
Sanjana borrows ₹16,000 at 24% per annum simple interest and Savithri borrows ₹18,200 at 20% per annum simple interest. In how many years will their amounts of debts be equal?
10
11
15
12
Correct answer
10
The average of v numbers is w2 and that of w numbers is v2. Then the average of all the numbers is:
vw2
v + w
vw
v2 + w2
Correct answer
vw2
If the cost price of a table is ₹400 and the selling price is ₹600, then find the profit percentage.
55%
45%
33%
50%
Correct answer
55%
Which of the following numbers are divisible by 11?
(i) 29435417
(ii) 57463828
(iii 57463824
(iv) 29435416
(iii) and (iv)
(ii) and (iii)
(i) and (ii)
(i) and (iii)
Correct answer
(iii) and (iv)
At a construction site, 15 men or 10 machines can construct a room in 66 days. In how many days can 5 men and 4 machines together complete the work?
80
75
85
90
Correct answer
80
If Tanmay covers three equal distances at the speeds of 2 km/h, 3 km/h and 4 km/h, respectively, then find his average speed (in km/h) during the whole journey. (Rounded off to 2 decimal places)
3.25
5.75
4.35
2.77
Correct answer
3.25
If two-fifth of three-eighth of one-sixth of a certain number is 52, what is 40% of the number?
1248
2080
832
1664
Correct answer
1248
A salesman purchases goods at ₹1,250 and is forced to sell it at ₹1,000. Find his loss percentage.
25%
20%
30%
15%
Correct answer
25%
A train passes a 500 m long platform in 12 seconds and a man standing on the platform in four seconds. Find the speed of the train.
252.5 km/h
125 km/h
225 km/h
152.5 km/h
Correct answer
252.5 km/h
A 4-digit number ‘34PQ’ divisible by 3,5 and 7. Find the value of P+Q.
11
12
10
13
Correct answer
11
A thief is noticed by a policeman from a distance of 500 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 12 km/h and 13 km/h, respectively. What is the distance between them after 12 minutes?
150 m
100 m
300 m
200 m
Correct answer
150 m
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.