Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
In a family of six males and a few females, the average monthly consumption of grain per head is 14.4 kg. If the average monthly consumption per head is 20 kg in the case of males and 6 kg in the case of females, find the number of females in the family?Â
8
4
6
7
Correct answer
8
Read the given pie chart and answer the given question.Â
What is the average number of Scale I officers in the bank D, E, and F?
90
85
80
75
Correct answer
90
At what rate of simple interest per annum will a sum triple itself after 30 years? [Give your answer correct to 2 decimal places.]Â
6.67%
4.75%
8.33%
3.33%
Correct answer
6.67%
24 women and 9 men can complete piece of work in 18 days.
Each women takes twice the amount of time taken by a man to finish the work. In how many days can only 9 men finish the same work?Â
42
35
39
48
Correct answer
42
The average age of eight girls is y years. 5 new girls having ages (in years) by y+3, y-6, y+15, y+8, and y+6, join the class. What is the new average age of the class?Â
(y+2) yearsÂ
(y+6) yearsÂ
(y+3) yearsÂ
(y+1) years
Correct answer
(y+2) yearsÂ
The total surface area of a closed cube is 128 cm2Â more than the area of a square. If the length of each side of the cube is 8 cm, then what is the length of each side of the square?
16 cm
12 cm
18 cm
9 cm
Correct answer
16 cm
The bar graph given below provides information about the lifetime (in hours) of neon lamps. Study the given graph and answer the question that follows.Â
The number of neon lamps have a life of 600 hours or more but less than 900 hours is:
180
245
270
305
Correct answer
180
The average of ten numbers is 24. If each number is divided by 2, then what will be the new average?Â
12
6
20
5
Correct answer
12
The difference between the simple interest and the compound interest at the same rate for Rs. 32,000 for 2 years is Rs. 80. What is the rate of interest, if in the case of compound interest, interest is compounded annually?Â
8% per annumÂ
2% per annum
5% per annumÂ
12% per annumÂ
Correct answer
8% per annumÂ
600 - A = 65% of 200. What is the value of A?Â
450
470
490
460
Correct answer
450
What is the greatest number which, on dividing 342 and 480, leaves remainder of 6 and 4, respectively?Â
14
4
7
28
Correct answer
14
What should come in place of the question mark (?) for the following mathematical statement to be true?Â
(9576 ÷ 21) × (462 ÷ 42) - 563 × 8 = (?)3
5
7
8
3
Correct answer
5
The side of a square is equal to 40% of the radius of a sphere. If the volume of the sphere is \(500\pi \over 3\)m3, then what is the area of the square?
2 m2
1 m2
9 m2
4 m2
Correct answer
2 m2
A fabric seller sells 65 m of cloth for Rs. 5,850 at a profit of Rs. 11 per metre of cloth. What is the cost price of 1 m of cloth?
Rs. 70
Rs. 89
Rs. 80
Rs. 79
Correct answer
Rs. 70
As per the data shown in the table given, what is the ratio of the students aged below 18 years to the students aged 18 years or above?Â
| Age group | 6-9 | 9-12 | 12-15 | 15-18 | 18-21 | 21-24 |
|---|---|---|---|---|---|---|
| Number of Students | 14 | 26 | 18 | 12 | 17 | 7 |
4 ∶ 3
35 ∶ 27
35 ∶ 12
5 ∶ 9
Correct answer
4 ∶ 3
A teacher distributes some sweets among his four students in the ratio of \({1\over3}\) ∶ \(1 \over 5\) ∶ \(1 \over 6\) ∶  \(1\over4\). What is the minimum number of sweets that the teacher should have, so that the sweets needs to be broken into parts to be shared?
57
77
76
71
Correct answer
57
2 candidates contested an election. The winning candidate got 52% of the valid votes and won by a margin of 360 votes. If 10% of votes were declared invalid, then what was the total number of votes polled?Â
11,000
10,000
8,000
12,000
Correct answer
11,000
Prakash bought 2 items, paying the same price for each of them. He sold one item at a profit of 20% and the other item at a profit of 25%. What is the overall percentage profit he made?Â
37.5%
24.5%
16.5%
22.5%
Correct answer
37.5%
The speed of Ashu is 15 km/h more than the speed of Vishnu. They start moving in the same direction at the same time, but initially Vishu is ahead of Ashu by a certain distance. If Ashu crosses Vishu 6 hours after they start moving, what is the initial distance between them?Â
45 km
60 kmÂ
90 km
80 km
Correct answer
45 km
If 25% discount is given on an article, then there will be a loss of 15%. If the article is sold at its marked price, then what will the profit percentage be? [Give your answer correct to 2 decimal places.]Â
15.66%
12.55%
13.33%
10.22%
Correct answer
15.66%
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.