Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What will come in the place of the question mark ‘?’ in the following question?
89% of 624 + 1220 – 1020 = ?
755.35
755.36
755.46
755.26
None of these
Correct answer
755.35
What will come in the place of the question mark '?' in the following question?
∛1728 × ∛4096 ÷ ∛512 = ?
24
36
30
12
16
Correct answer
24
What will come in the place of the question mark ‘?’ in the following question?
10 + 12 of 12 – 44 × 11 = ?
300
-297
-330
0
-280
Correct answer
300
What will come in the place of the question mark ‘?’ in the following question:
20% of 60 + 30% of 90 + 36 = ?
82
75
65
85
94
Correct answer
82
What will come in the place of the question mark ‘?’ in the following question:
35% of 180 + 45% of 180 = 180 – ?
40
42
36
48
50
Correct answer
40
The ratio of Milk and Water in the container is 3 : 2 . If 15 liter mixture is taken out and replaced by the Milk, the ratio become 3 : 1 then find the total quantity of mixture in the container is:
25 litres
20 litres
15 litres
Can't be determined
None of these
Correct answer
25 litres
In 2019, a person had an amount of ₹17,500, which increased by 20% every year. In 2021, the person spent 69% of the amount they had. What was the remaining savings?
₹8,812
₹7,812
₹9,812
₹6,812
₹4,812
Correct answer
₹8,812
A person invests a certain amount for 2 years at an interest rate of 20% per annum under compound interest. The same person invests the same amount for 2 years at a 30% interest rate under simple interest. The difference between the compound interest and simple interest after 2 years is ₹896. What is the invested amount?
₹6600
₹6700
₹5600
₹4600
₹5100
Correct answer
₹6600
Two articles have the same cost price. Article A is sold at a 20% profit, and Article B is sold at a 30% loss. The overall loss incurred is ₹50. At what price should Article B be sold so that the seller gets an overall 40% profit?
Rs. 800
Rs. 500
Rs. 700
Rs. 1000
Rs. 900
Correct answer
Rs. 800
A train with a speed of 72 km/h crosses a pole in 16 seconds. If the speed is increased by 12 m/s, calculate the time it will take to cross the pole.
20 seconds
30 seconds
50 seconds
10 seconds
60 seconds
Correct answer
20 seconds
Directions: Read the following information carefully and answer the questions based on it.
The table below provides information about the ratio of the number of pens to sharpeners in three different boxes (P, Q, and R), the difference between the probabilities of selecting one pen and one eraser from each respective box, and the total number of erasers and sharpeners in each box.
| Boxes | Ratio (Pens : Sharpeners) | Difference between Probability of Picking a Pen and an Eraser | Erasers + Sharpeners |
|---|---|---|---|
| P | 3 : 1 | 3/11 | 5 |
| Q | 4 : 3 | 2/9 | 10 |
| R | 6 : 7 | 1/18 | 12 |
Note:
The number of pens in each box is greater than the number of erasers.
Find the ratio of the average number of pens in boxes P and Q together to the total number of sharpeners in boxes Q and R together.
4:9
5:11
7:13
9:17
6:7
Correct answer
4:9
Directions: Read the following information carefully and answer the questions based on it.
The table below provides information about the ratio of the number of pens to sharpeners in three different boxes (P, Q, and R), the difference between the probabilities of selecting one pen and one eraser from each respective box, and the total number of erasers and sharpeners in each box.
| Boxes | Ratio (Pens : Sharpeners) | Difference between Probability of Picking a Pen and an Eraser | Erasers + Sharpeners |
|---|---|---|---|
| P | 3 : 1 | 3/11 | 5 |
| Q | 4 : 3 | 2/9 | 10 |
| R | 6 : 7 | 1/18 | 12 |
Note:
The number of pens in each box is greater than the number of erasers.
Find the probability of selecting two sharpeners from any one of the three boxes.
79/1050
77/1115
79/935
77/935
75/977
Correct answer
79/1050
Directions: Read the following information carefully and answer the questions based on it.
The table below provides information about the ratio of the number of pens to sharpeners in three different boxes (P, Q, and R), the difference between the probabilities of selecting one pen and one eraser from each respective box, and the total number of erasers and sharpeners in each box.
| Boxes | Ratio (Pens : Sharpeners) | Difference between Probability of Picking a Pen and an Eraser | Erasers + Sharpeners |
|---|---|---|---|
| P | 3 : 1 | 3/11 | 5 |
| Q | 4 : 3 | 2/9 | 10 |
| R | 6 : 7 | 1/18 | 12 |
Note:
The number of pens in each box is greater than the number of erasers.
If the total number of erasers in all three boxes is k, and the total number of pens in all three boxes is m, find the value of (m – k).
8
9
4
5
6
Correct answer
8
Directions: Read the following information carefully and answer the questions based on it.
The table below provides information about the ratio of the number of pens to sharpeners in three different boxes (P, Q, and R), the difference between the probabilities of selecting one pen and one eraser from each respective box, and the total number of erasers and sharpeners in each box.
| Boxes | Ratio (Pens : Sharpeners) | Difference between Probability of Picking a Pen and an Eraser | Erasers + Sharpeners |
|---|---|---|---|
| P | 3 : 1 | 3/11 | 5 |
| Q | 4 : 3 | 2/9 | 10 |
| R | 6 : 7 | 1/18 | 12 |
Note:
The number of pens in each box is greater than the number of erasers.
The total number of sharpeners in boxes P and Q together is what percent of the total number of erasers in boxes P and R together?
40%
100%
30%
20%
50%
Correct answer
40%
Directions: Read the following information carefully and answer the questions based on it.
The table below provides information about the ratio of the number of pens to sharpeners in three different boxes (P, Q, and R), the difference between the probabilities of selecting one pen and one eraser from each respective box, and the total number of erasers and sharpeners in each box.
| Boxes | Ratio (Pens : Sharpeners) | Difference between Probability of Picking a Pen and an Eraser | Erasers + Sharpeners |
|---|---|---|---|
| P | 3 : 1 | 3/11 | 5 |
| Q | 4 : 3 | 2/9 | 10 |
| R | 6 : 7 | 1/18 | 12 |
Note:
The number of pens in each box is greater than the number of erasers.
The number of sharpeners in box Q is x times the number of erasers in box P, and the number of pens in box R is y% more than the number of erasers in box Q.
Which of the following statements about x and y is/are correct?
(i) Both x and y are prime numbers.
(ii) (1500x+100y) is a multiple of 80.
(iii) xy/5=20
Only (i) and (ii)
Only (i) and (iii)
Only (iii)
Only (ii) and (iii)
All (i), (ii), and (iii)
Correct answer
Only (i) and (ii)
Directions: Read the following information carefully and answer the questions based on it.
The following data shows the number of male and female visitors on three different days – Monday, Tuesday, and Wednesday.
The total number of visitors on Monday is 70. The number of female visitors on Monday is 40% less than that on Tuesday. The number of male visitors on Tuesday is 1.5 times the number of female visitors on Monday. The number of male visitors on Monday is 8 more than the number of female visitors on Wednesday. The number of male visitors on Wednesday is 10 less than that on Tuesday. The total number of female visitors on all three days together is 112.
Further, the number of female visitors on Thursday is twice the number of female visitors on Wednesday. The number of male visitors on Thursday is 20% less than the number of male visitors on Tuesday.
The number of female visitors on Wednesday is approximately what percent of the total number of visitors on Tuesday?
38%
34%
27%
44%
41%
Correct answer
38%
Directions: Read the following information carefully and answer the questions based on it.
The following data shows the number of male and female visitors on three different days – Monday, Tuesday, and Wednesday.
The total number of visitors on Monday is 70. The number of female visitors on Monday is 40% less than that on Tuesday. The number of male visitors on Tuesday is 1.5 times the number of female visitors on Monday. The number of male visitors on Monday is 8 more than the number of female visitors on Wednesday. The number of male visitors on Wednesday is 10 less than that on Tuesday. The total number of female visitors on all three days together is 112.
Further, the number of female visitors on Thursday is twice the number of female visitors on Wednesday. The number of male visitors on Thursday is 20% less than the number of male visitors on Tuesday.
What is the difference between the number of male visitors on Monday and Wednesday?
10
15
6
5
4
Correct answer
10
Directions: Read the following information carefully and answer the questions based on it.
The following data shows the number of male and female visitors on three different days – Monday, Tuesday, and Wednesday.
The total number of visitors on Monday is 70. The number of female visitors on Monday is 40% less than that on Tuesday. The number of male visitors on Tuesday is 1.5 times the number of female visitors on Monday. The number of male visitors on Monday is 8 more than the number of female visitors on Wednesday. The number of male visitors on Wednesday is 10 less than that on Tuesday. The total number of female visitors on all three days together is 112.
Further, the number of female visitors on Thursday is twice the number of female visitors on Wednesday. The number of male visitors on Thursday is 20% less than the number of male visitors on Tuesday.
Find the approximate average number of visitors on all three given days (Monday, Tuesday, and Wednesday).
79
71
77
78
73
Correct answer
79
Directions: Read the following information carefully and answer the questions based on it.
The following data shows the number of male and female visitors on three different days – Monday, Tuesday, and Wednesday.
The total number of visitors on Monday is 70. The number of female visitors on Monday is 40% less than that on Tuesday. The number of male visitors on Tuesday is 1.5 times the number of female visitors on Monday. The number of male visitors on Monday is 8 more than the number of female visitors on Wednesday. The number of male visitors on Wednesday is 10 less than that on Tuesday. The total number of female visitors on all three days together is 112.
Further, the number of female visitors on Thursday is twice the number of female visitors on Wednesday. The number of male visitors on Thursday is 20% less than the number of male visitors on Tuesday.
What is the total number of visitors on Thursday?
150
100
80
105
116
Correct answer
150
For how many years was the sum invested at simple interest (SI)?
Statements:
I. The ratio of the sum invested to the interest earned under simple interest is 20 : 9.
II. If the same sum is invested at compound interest (CI) at 10% per annum for 2 years, the interest received is twice the interest earned under simple interest.
III. The total amount received is ₹58,000.
Only I and II together are sufficient
Only II and III together are sufficient
Only I and III together are sufficient
All statements together are sufficient
Even all statements together are not sufficient
Correct answer
Only I and II together are sufficient
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.