Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A retailer bought 50 kg of Arhar Dal at a discount of 20% Another 2 kg of Arhar dal was offered to him for free by the wholesaler on the purchase of 50 kg of the dal. If the retailer sells the entire quantity of the dal at the marked price to a customer, what is the profit percentage gained by the retailer?
30%
22%
12%
15%
Correct answer
30%
There are 32 consecutive natural number. The average of the first 13 numbers is X. What is the average of the next 19 numbers?
X + 15
X + 16
X + 17
X + 18
Correct answer
X + 15
The ratio of two number is 3 ∶ 7. The sum of the two numbers is 180. What is the positive difference between the two numbers?
80
72
85
78
Correct answer
80
What is the LCM of two numbers, whose product is 432 and HCF is 6?
68
48
78
72
Correct answer
68
The following pie chart gives the central angles of the sectors representing the number of cameras sold by a shop from July to November in a certain year.
What percentage are the sales in July of the total sales from July to November?
25%
50%
12.5%
20%
Correct answer
25%
The compound interest on ₹20,000 at 5% per annum, compounded annually, is ₹2,050. What is the time period?
2.5 years
2 years
4 years
3 years
Correct answer
2.5 years
What is the value of \(7\over8\) + \(8\over11\) of \(\left[33\over16\right.\) - \(5\over12\) + \(\left(6\over11\right.\) - \(5\over12\) + \(\left.\left.7\over22\right)\right]\)?
\(6871\over3605\)
\(6805\over2987\)
\(6907\over3971\)
\(6961\over2904\)
Correct answer
\(6871\over3605\)
The following bar chart shows the number of accounts (in '00) opened in a month by 5 banks.
The average money in each account of B1, B3 and B5 is ₹500. The average money in each account of B2 and B4 is ₹1,000. How much money is there in all the accounts that have been opened during the given month, in all the 5 banks, taken together?
₹1,30,00,000
₹1,20,00,000
₹1,25,00,000
₹1,45,00,000
Correct answer
₹1,30,00,000
If the cost price of 15 pencils is equal to the selling price of 10 pencils, what is the gain or loss percentage?
20% gain
30% loss
50% gain
40% loss
Correct answer
20% gain
Sandeep buys a toy car for ₹500 and sells it for ₹625. What is his gain or loss percentage?
20% gain
20% loss
25% gain
25% loss
Correct answer
20% gain
If the rate of interest is 4% for the first year, 5% for the second year and 6% for the third year, then compound interest on ₹10,000 for 3 years, if interest is compounded annually?
₹1,580.25
₹1,575.20
₹1,500.00
₹1,570.50
Correct answer
₹1,580.25
Anjali decided to spend 45% of her salary on shopping. On completion of her shopping, she realised that she had spent only ₹11,475, which was 60% of what she had decided to spend. How much is Anjali's salary?
₹40,800
₹29,600
₹38,400
₹42,500
Correct answer
₹40,800
The largest possible right circular cylinder is cut out from a wooden cube of edge 7 cm. Find the volume of the cube left over after cutting the cylinder (in cm). (use \(\pi\) = \(22\over7\))
73.5
63.5
87.5
67.5
Correct answer
73.5
Two beakers contain acid and water in the ratio 2 ∶ 3 and 3 ∶ 4 respectively. If equal volumes of the mixtures from these two beakers are poured into a common beaker, find the resultant ration of acid to water in the mixture in the common beaker.
7 ∶ 5
21 ∶ 29
5 ∶ 7
29 ∶ 41
Correct answer
7 ∶ 5
The radius of a circular wheel of a toy car is 56 mm. In how many revolutions can it cover a distance of 176 cm? [Use \(\pi\) = \(22\over7\) ]
6
3
5
4
Correct answer
6
An article is sold for Rs. 4,800 at a profit of 20%. If the selling price is increased by Rs. 600, then what will be the profit percentage?
40%
25%
30%
35%
Correct answer
40%
What is the difference between the compound interest and the simple interest on Rs. 2,000 at 10% interest per annum for 2 years, if, for compound interest, interest is compounded annually?
Rs. 20
Rs. 40
Rs. 80
Rs. 60
Correct answer
Rs. 20
Find the single discount equivalent to two successive discounts of 10% and 5%.
85.5%
90%
75.5%
14.5%
Correct answer
85.5%
A is 40% less than 60% of 1500. What is the value of A?
500
480
540
360
Correct answer
500
P = 18 × 9 ÷ 6 + 5 × 15 ÷ 25 and Q = 15 ÷ 5 × 5 - 25 ÷ 5, what is the value of (P ÷ Q)?
2.5
2
3
1.5
Correct answer
2.5
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.