Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The marked price of a pen is 25% more than its cost price. The pen is sold for ₹220 after a discount of ₹30. What is the profit percentage?
10%
15%
20%
17.5%
Correct answer
10%
The monthly income of a person is ₹15,000. He saves 20% of his income. If his income increases by 10% and his nominal savings remains the same, then what will be his new expenditure?
₹13,000
₹14,500
₹13,500
₹14,000
Correct answer
₹13,000
The curved surface area of a cylinder, whose height is 10 cm, is 1320 cm2. What is the volume of this cylinder? [Use π = \(\frac{{22}}{7}\)]
1388 m3
0.001368 m3
0.1386 m3
0.01386 m3
Correct answer
1388 m3
The average age of 5 children is 10 years. If two more children of ages 11 years and 16 years join, then what will be the new average age?
11 years
10 years
13 years
12 years
Correct answer
11 years
If K1 and K2 are two distinct prime numbers, then what is the product of the highest common factor and the least common multiple of K1 and K2?
1
\(\frac{{{\rm{K1}}}}{{{\rm{K2}}}}\)
K1 + K2
K1 × K2
Correct answer
1
On a tree, there are some parrots and some pigeons in the ratio of 7 ∶ 9, respectively. After an hour, 8 parrots fly away, and 6 pigeons and 10 sparrows come and sit on the tree. The ratio of the parrots and the pigeons on the tree now is 1 ∶ 4. What is the ratio of the parrots and the sparrows that are now on the tree?
1 ∶ 1
1 ∶ 2
3 ∶ 5
4 ∶ 5
Correct answer
1 ∶ 1
The following pie-chart shows the distribution of the monthly income of a man. The monthly income of the man is ₹84,000.
How much does he spend on children's fees in a year?
₹80,500
₹98,000
₹1,01,800
₹1,00,800
Correct answer
₹80,500
A boat takes a total of 2 hours to cover 9 km downstream and return, given that the speed of the stream is 6 km/h. What is the speed of the boat in still water?
15 km/h
8 km/h
16 km/h
12 km/h
Correct answer
15 km/h
If the area of a parallelogram is 508 m2 and its base is 40 m, then what is the corresponding height of the parallelogram?
10.8 m
18.4 m
12.7 m
22.2 m
Correct answer
10.8 m
Mr. Stark gave 30% of the money he had to Bruce. He also gave 30% of the remaining amount to each Natasha, Captain, and Vision. Half of the remaining amount he spent on miscellaneous items, and the remaining amount of ₹14,000 he deposited in Marvel's Fund. How much money did Mr. Stark initially have?
₹3,90,000
₹4,00,000
₹3,70,000
₹3,00,000
Correct answer
₹3,90,000
The average of 8 consecutive integers is \(\frac{{27}}{2}\). What is the average of the largest four of these integers?
16.5
15
14.5
15.5
Correct answer
16.5
A sum, when invested for 2 years at the rate of 10% per annum at simple interest, amounts to ₹4,800 on maturity. What is the sum invested?
₹3,600
₹4,000
₹3,500
₹4,200
Correct answer
₹3,600
If A ∶ B = 3 ∶ 4 and B ∶ C = 1 ∶ 5, then what is A ∶ C?
3 ∶ 20
3 ∶ 4
1 ∶ 4
3 ∶ 5
Correct answer
3 ∶ 20
Kisna buys a cow for ₹15,000. After one year, he sells it for ₹18,500. After one year, again he buys the same cow at ₹19,000 and sells it for ₹22,300. What is the overall profit percentage of Kisna?
18%
10%
20%
15%
Correct answer
18%
A large solid cube is melted and cast into 'N' small solid spheres, each of radius 3 cm, and 'N + 2' small solid cuboids, each of dimensions 4 cm × 4 cm × 6.5 cm. If the length of each side of the large solid cube is 12 cm, then find the value of 'N'. [Use π = \(\frac{{22}}{7}\)]
8
5
7
6
Correct answer
8
The average marks scored by F1 and F2 are 40 more than the average marks scored by F2 and F3. If the mark scored by F3 is 90, then what are the marks obtained by F1?
130
140
160
170
Correct answer
130
If 25 ∶ x ∶∶ x ∶ \(\frac{81}{4}\), find the value of x, if x > 0.
20.5
22.5
25.0
25.2
Correct answer
20.5
If P = 12 ÷ 6 - 2, Q = 8 ÷ 2 - 3, and R = 18 ÷ 9 + 5, then what is the value of P + R × Q?
9
7
8
6
Correct answer
9
A sum of money, when invested at the rate of 15% per annum at simple interest, amounts to Rs. 26,000 in 2 years. What is the simple interest that accrued during these 2 years?
Rs. 7,500
Rs. 6,000
Rs. 6,500
Rs. 8,800
Correct answer
Rs. 7,500
The average of a set of ten numbers is 40. If a number is removed from the set, then the average of the remaining numbers becomes 38. What was the number that was removed?
42
54
60
58
Correct answer
42
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.