Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
The salary of Amit is 75% of the salary of Aman. The salary of Amit increases by 40% and the salary of Aman increases by 10%. By what approximate percentage is the new salary of Aman more than the new salary of Amit?
6.2%
9.6%
5.5%
4.8%
Correct answer
6.2%
hat is the value of 0.0045 ÷ 4.5 × 100 - 45 ÷ 5 ?
-8.9
-9
-8.1
-9.9
Correct answer
-8.9
Two numbers are in the ratio of 3 ∶ 5. If their HCF is 8, then find the numbers.
36 and 60
12 and 20
48 and 80
24 and 40
Correct answer
36 and 60
A invested an amount of Rs. 12,000 in a fixed deposit scheme for 2 years at an interest rate of 5% per annum, compounded annually. How much amount will A get on maturity of the fixed deposit?
Rs. 13,230
Rs. 11,280
Rs. 12,450
Rs. 14,560
Correct answer
Rs. 13,230
Find the speed of a boat in still water if the boat goes 12 km/h along the stream and 4 km/h against the stream.
10 km/h
8 km/h
7 km/h
9 km/h
Correct answer
10 km/h
Study the given bar-graph and answer the question that follows.
The bar-graph shows the number of bottles and the number of cups sold by five different shops during a given week.
The total number of bottles sold during the given week by the five shops taken together is approximate what percentage of the total number of cups sold during the given week by the five shops taken together?
96.43%
92.11%
87.22%
89.07%
Correct answer
96.43%
When a watch is sold at \(\frac{7}{11}\)of the marked price, there is a loss of 20%. What is the ratio of the market price to the cost price of this watch?
44 ∶ 35
31 ∶ 25
41 ∶ 25
38 ∶ 35
Correct answer
44 ∶ 35
If A = \(\frac{2}{3}+\frac{4}{7} \ of \ \frac{14}{12}\) and B = \(\frac{5}{12}\) of \(\frac{7}{15}\times\frac{36}{21}\), then what is the value of A + B?
\(\frac{5}{3}\)
2
\(\frac{4}{3}\)
\(\frac{2}{3}\)
Correct answer
\(\frac{5}{3}\)
Kapila Rs. Bought 100 frocks at the rate of 320 per frock. Transport Expenses Rs. 1,000. He charged Rs. 1.50 and labor charges of Rs. 500. What should be the selling price per frock if she wants to make a profit of 10%?
Rs. 385.45
Rs. 370.15
Rs. 390.80
Rs. 336.50
Correct answer
Rs. 385.45
A train travels for 2 hours at a speed of 6 m/sec. What is the distance covered by the train in the mentioned duration of time?
40.8 km
36.4 km
46.6 km
43.2 km
Correct answer
40.8 km
If \(\rm \frac{1}{2}:x::x:\frac{1}{8}\), find the positive value of x.
\(\frac{1}{25}\)
\(\frac{1}{12}\)
\(\frac{1}{4}\)
\(\frac{1}{11}\)
Correct answer
\(\frac{1}{25}\)
the average of 10 consecutive integers is \(\frac{11}{2}\). What is the average of the “smallest four” of these integers?
2.5
3.5
3
2
Correct answer
2.5
Ritika bought each set of 10 shirts for ₹8,000 and sold them at a rate of ₹9,000 for every 12 shirts. Find her profit or loss percentage.
7% profit
7.25% profit
8% loss
6.25% loss
Correct answer
7% profit
In a class of 60 students, the ratio of girls to boys is 2 ∶ 3. If 20 more girls join the class, then what is the new number of girls in the class?
45
44
50
56
Correct answer
45
The average weight of six persons is 30 kg. If a new person joins this group, then the average weight becomes 28 kg. What is the weight of the new person?
22 kg
14 kg
15 kg
16 kg
Correct answer
22 kg
What is the simple interest on a principal of Rs. 24,000 for 4 years at the rate of 5% per annum?
Rs. 4,800
Rs. 3,600
Rs. 5,600
Rs. 5,000
Correct answer
Rs. 4,800
The surface areas of the two spheres are in the ratio of 64 ∶ 81. Find the ratio of their volumes, in the order given
512 ∶ 729
64 ∶ 729
8 ∶ 81
4 ∶ 9
Correct answer
512 ∶ 729
The area of a sphere is 1386 cm2. What is the radius of the sphere?
[Use π = \(\frac{22}{7}\)]
10.5 cm
7 cm
14 cm
18 cm
Correct answer
10.5 cm
A tree height of 50 m was cut so that the height of the tree gets reduced by 10%. Find the present height of the tree.
45 m
35 m
25 m
15 m
Correct answer
45 m
The following pie chart shows results from a survey of 160 kids about their favourite desserts.
What is the number of kids who like ice cream?
30
20
50
40
Correct answer
30
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.