Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
An alloy contains a mixture of two metals X and Y in the ratio of 2 ∶ 3. The second alloy contains a mixture of the same metals, X and Y in the ratio 7 ∶ 3. In what ratio should the first and the second alloys be mixed so as to make a new alloy containing 50% of metal X?
3 ∶ 4
3 ∶ 1
5 ∶ 6
2 ∶ 1
Correct answer
3 ∶ 4
8 years ago, the average age of Rahul's family consisting of 6 members was 35 years. One year ago a new baby was born in this family. What will be the average age of the family four years hence?
41 years
37 years
40 years
43 years
Correct answer
41 years
On a certain sum of money, the simple interest for 2 years is ₹150 at the rate of 10% per annum. What is the difference between the compound interest and the simple interest for 2 years if, in the case of compound interest, interest is compounded annually at the rate of 10% per annum.
₹5
₹10
₹7.5
₹12.5
Correct answer
₹5
A work can be completed by 20 men in 50 days. 30 more than join them after 10 days of work. How many days will be saved in completion of the work?
18 days
20 days
24 days
28 days
Correct answer
18 days
The value of \(3\frac{2}{7} + 14\frac{4}{9} +5\frac{3}{9}\) is:
\(21\frac{4}{63} \)
\(25\frac{4}{63} \)
\(23\frac{4}{63} \)
\(22\frac{4}{63} \)
Correct answer
\(21\frac{4}{63} \)
If a storeroom of a house is in the shape of a cuboid having a length of 3 m, a width of 2 m, and a height of 4 m, find the total area of its four walls.
50 m2
20 m2
40 m2
24 m2
Correct answer
50 m2
The following table shows the number of bundles of iron bars of 5 different brands sold from a shop during a given week.
| Brand | Bundles |
|---|---|
| B1 | 60 |
| B2 | 50 |
| B3 | 40 |
| B4 | 45 |
| B5 | 55 |
The number of iron bars in each bundle of B1 and B3 is 5. The number of iron bars in each bundle of B2, B4 and B5 is 4. What is the total number of iron bars sold from the shop during that week of all the 5 brands taken together?
1100
1200
1150
1250
Correct answer
1100
While going to office, Sneha travels at a speed of 10 km/h and on her way back, she travels at a speed of 15 km/h. What is her average speed for the whole journey?
14 km/h
12 km/h
11 km/h
13 km/h
Correct answer
14 km/h
The heights of six people are given as 6 feet 6 inches, 6 feet, 5 feet 8 inches, 6 feet 2 inches, 6 feet 4 inches, and 5 feet 10 inches, respectively. Find the average height of these six people.
6 feet 4 inch
6 feet
6 feet 1 inch
6 feet 6 inch
Correct answer
6 feet 4 inch
If A = 23 × 37, B = 27 × 35 and C = 28 × 34, then what is the least common multiple of A, B and C?
27 × 37
26 × 37
28 × 37
29 × 37
Correct answer
27 × 37
The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]
11.11%
12.5%
14.16%
13.04%
Correct answer
11.11%
Simplify the following expression.
12 + 2.5 + (1.5 of 4) - 2.6
17.9
18.9
18.1
17.1
Correct answer
17.9
A rectangular LCD has an area of 480 cm2 and a perimeter of 92 cm. If the size of the LCD is defined in terms of the length of the diagonal, then what is the size of the LCD?
34 cm
39 cm
31 cm
35 cm
Correct answer
34 cm
Ajay, Vijay and Sashi can do a piece of work in 20,40 and 60 days, respectively. In how many days can Ajay do the work if he is assisted by Vijay and Sashi on every fourth day?
15 days
\(\frac{50}{3}\) days
12 days
\(\frac{44}{3}\) days
Correct answer
15 days
The marked price of an item was ₹5,000. While selling the item, the seller offered successive discounts of 15% and 5%. What was the final selling price of the item?
₹4,730
₹4,370.50
₹4,250
₹4,037.50
Correct answer
₹4,730
If 30% of a = b, then b% of 50 is the same as:
5% of a
10% of a
15% of a
12% of a
Correct answer
5% of a
In a bag there are coins of ₹2, ₹5 and ₹10 denominations. The total number of coins in the bag is 300 . If the number of coins of ₹2 , ₹5 and ₹10 denominations are in the ratio of 1 ∶ 2 ∶ 3, then what is the total amount of money in the bag?
₹2,100
₹2,500
₹3,000
₹2,400
Correct answer
₹2,100
42 boys can complete a piece of work in 20 days working 8 hours per day. In how many days can 14 boys complete the same work, each boy working 12 hours per day?
39 days
40 days
41 days
42 days
Correct answer
39 days
The following bar graph shows the number of girls in a school over 5 years.
Find the percentage decrease in the number of girls from the year 2012 to the year 2013.
50%
40%
20%
30%
Correct answer
50%
If the circumference of a circle is equal to the perimeter of a square, and the radius of the given circle is positive, then which of the following options is correct?
Area of the circle > Area of the square
Area of the circle ≥ Area of the square
Area of the circle < Area of the square
Area of the circle = Area of the square
Correct answer
Area of the circle > Area of the square
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.