Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A, B and C can do a piece of work in 20 days, 10 days and 15 days respectively. They all started the work together but after 2 days B left the work and A left the work 3/2 days before the completion of work. Find the time in which work gets completed?
7.5 days
6 days
8 days
7 days
9 days
Correct answer
7.5 days
A 180 meters long train crosses another train having length 270 m in 54/5 seconds by running towards each other. If the ratio of speed of the first train to second train is 2 : 3, then find the time taken by 2nd train to cross first train if both running in the same direction?
47
26
54
50
25
Correct answer
54
A container has a mixture of milk and water in the ratio 4:1. If ‘x’ liters of milk are added to the mixture, the ratio becomes 5:1, while ‘y’ liters of water are added, the ratio becomes 3:1. If the sum of x and y is 20 liters, then find the quantity of the original mixture.
30 liters
90 liters
45 liters
60 liters
75 liters
Correct answer
75 liters
The cost price of an article is Rs 1375 and shopkeeper marks up the article 60% above its cost price. If discount allows by the shopkeeper is x-50% and the shopkeeper made a profit of 20%, then find the discount allowed by the shopkeeper?
20%
30%
25%
75%
35%
Correct answer
25%
Table given below shows total number of people (male + female) visited five different parks and percentage of female out of total people visited these five parks. Read the following table carefully and answer the questions given below.
| Parks | Total number of people (male + female) visited | Percentage of female out of total people visited |
|---|---|---|
| A | 250 | 40% |
| B | 300 | 55% |
| C | 280 | 45% |
| D | 340 | 50% |
| E | 380 | 60% |
Find the ratio of number of male visited to park A and B together to total number of female visited to park A and B together?
57 : 52
57 : 53
59 : 53
57 : 58
57 : 59
Correct answer
57 : 53
Table given below shows total number of people (male + female) visited five different parks and percentage of female out of total people visited these five parks. Read the following table carefully and answer the questions given below.
| Parks | Total number of people (male + female) visited | Percentage of female out of total people visited |
|---|---|---|
| A | 250 | 40% |
| B | 300 | 55% |
| C | 280 | 45% |
| D | 340 | 50% |
| E | 380 | 60% |
If total number of children visited to park A are 40% more than the total number of male visited to park D, then find the difference between total number of male visited to park C and total number of children visited to park A?
84
74
94
64
88
Correct answer
84
Table given below shows total number of people (male + female) visited five different parks and percentage of female out of total people visited these five parks. Read the following table carefully and answer the questions given below.
| Parks | Total number of people (male + female) visited | Percentage of female out of total people visited |
|---|---|---|
| A | 250 | 40% |
| B | 300 | 55% |
| C | 280 | 45% |
| D | 340 | 50% |
| E | 380 | 60% |
Find the difference between average number of males visited to park A & D together and total number of female visited to park E?
72
98
88
68
78
Correct answer
68
Table given below shows total number of people (male + female) visited five different parks and percentage of female out of total people visited these five parks. Read the following table carefully and answer the questions given below.
| Parks | Total number of people (male + female) visited | Percentage of female out of total people visited |
|---|---|---|
| A | 250 | 40% |
| B | 300 | 55% |
| C | 280 | 45% |
| D | 340 | 50% |
| E | 380 | 60% |
Find the total number of females visited to park E is what percent of total number of males visited to park A?
158%
52%
88%
112%
152%
Correct answer
152%
Table given below shows total number of people (male + female) visited five different parks and percentage of female out of total people visited these five parks. Read the following table carefully and answer the questions given below.
| Parks | Total number of people (male + female) visited | Percentage of female out of total people visited |
|---|---|---|
| A | 250 | 40% |
| B | 300 | 55% |
| C | 280 | 45% |
| D | 340 | 50% |
| E | 380 | 60% |
Find the total number of males visited to park B & D together is how much more or less than number of female visited to park D & E together?
71
101
81
93
83
Correct answer
93
In each of the following questions two equations are given. Solve these equations and give answer:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
I. x² + x - 12 = 0
II. y² - 9y + 14 = 0
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Correct answer
if x = y or no relation can be established between x and y.
In each of the following questions two equations are given. Solve these equations and give answer:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
I. 6x² + 5x + 1 = 0
II. 4y² - 15y = 4
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Correct answer
if x<y
In each of the following questions two equations are given. Solve these equations and give answer:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
I. 3x² + x - 2 = 0
II. 12y² + 7y + 1 = 0
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Correct answer
if x = y or no relation can be established between x and y.
In each of the following questions two equations are given. Solve these equations and give answer:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
I. x² + 13x + 42 = 0
II. y² + 8y + 12 = 0
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Correct answer
if x ≤y
In each of the following questions two equations are given. Solve these equations and give answer:
(a) if x>y
(b) if x≥y
(c) if x<y
(d) if x ≤y
(e) if x = y or no relation can be established between x and y.
I. 3x² - 13x + 14 = 0
II. 2y² - 17y + 33 = 0
if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Correct answer
if x<y
50.111 × 4.98 + 39.88% of 399.92 = ?² − 31.05
What approximate value should come in place of the question mark (?) in the following questions?
25
21
14
5
42
Correct answer
21
[Formula above]
What approximate value should come in place of the question mark (?) in the following questions?
1760
1620
1840
1980
2090
Correct answer
1760
[Formula above]
What approximate value should come in place of the question mark (?) in the following questions?
4267
4560
4128
4869
4646
Correct answer
4267
14.022² + 9.02³ = ? × 24.88 + 200.12
Instructions: What approximate value should come in place of the question mark (?) in the following questions?
17
29
21
46
4
Correct answer
29
[Formula above]
Instructions: What approximate value should come in place of the question mark (?) in the following questions?
304
328
378
245
198
Correct answer
328
[Formula above]
Instructions: What approximate value should come in place of the question mark (?) in the following questions?
17
12
22
4
27
Correct answer
17
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.