Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
What value should replace the question mark (?) in the following expression?
\( 14 \frac{1}{2} + 12 \frac{2}{3} - 10 \frac{1}{6} + 6 \frac{1}{3} = ? \)
\( 23 \frac{1}{3} \)
\( 21 \frac{1}{3} \)
\( 23 \frac{2}{3} \)
\( 43 \frac{2}{3} \)
\( 23 \frac{1}{6} \)
Correct answer
\( 23 \frac{1}{3} \)
What value should replace the question mark (?) in the following expression? \( \frac{6}{8} \) of \( \frac{16}{18} \) of \( \frac{54}{64} \) of \( 9216 = ? \)
5184
6142
4608
4032
3456
Correct answer
5184
Aman invests four times the sum invested by Bhanu and withdraws one-fourth of his sum after 4 months and again withdraws one-fourth of the remaining sum after next 4 months. Find the ratio of profit share of Aman and Bhanu after 1 year.
37 : 12
12 : 37
10 : 3
3 : 1
8 : 3
Correct answer
37 : 12
In a company total 720 employees passed the recruitment test, while 60% of total men passed the recruitment test and 40% of total women passed the recruitment test. If \( 66 \frac{2}{3}% \) of total passed men is 320, then find total employees in the company.
1400
800
600
1200
1800
Correct answer
1400
The average age of 12 employees in an office is 70 years. If 4 new employees are added to the office and then the average age of the office is increased by 1 year, then find the age of four new employees?
296
74
284
264
308
Correct answer
296
Directions (1-5): Study the following line graph carefully and answer the questions given below. The line graph shows the monthly production of units (in thousands) of five manufacturing plants—A, B, C, D and E.
What is the total monthly production of Units for Plants A and D together?
280 thousand
290 thousand
300 thousand
310 thousand
320 thousand
Correct answer
280 thousand
Directions (1-5): Study the following line graph carefully and answer the questions given below. The line graph shows the monthly production of units (in thousands) of five manufacturing plants—A, B, C, D and E.
The production of Plant D is what percent more than that of Plant A?
40%
45%
50%
55%
60%
Correct answer
40%
Directions (1-5): Study the following line graph carefully and answer the questions given below. The line graph shows the monthly production of units (in thousands) of five manufacturing plants—A, B, C, D and E.
Find the ratio of the total monthly production of Plants B and C together to that of Plants A and E together.
10 : 9
9 : 8
10 : 19
11 : 10
12 : 11
Correct answer
10 : 9
Directions (1-5): Study the following line graph carefully and answer the questions given below. The line graph shows the monthly production of units (in thousands) of five manufacturing plants—A, B, C, D and E.
Find the average monthly production of Plants B, C and D.
150 thousand
155 thousand
162.5 thousand
165 thousand
160 thousand
Correct answer
150 thousand
Directions (1-5): Study the following line graph carefully and answer the questions given below. The line graph shows the monthly production of units (in thousands) of five manufacturing plants—A, B, C, D and E.
The production of Plant B is what percent of the total monthly production of all five plants?
18%
20%
21.50%
22.67%
21.33%
Correct answer
18%
Train X having length 400 meters crosses train Y running in same direction in 50 seconds. If the difference between the speeds of both the trains is 10 m/s and train Y crosses a 900 meters long platform in 50 seconds, then find the speed of train X (in meters/second)?
20
25
28
30
32
Correct answer
20
The perimeter of a semicircle is 72 cm and the radius of the semicircle is equal to the breadth of a rectangle. If the area of the rectangle is 294 cm2, then find the length of the rectangle?
14 cm
21 cm
42 cm
10.5 cm
28 cm
Correct answer
14 cm
p, q, r, s and t are 5 consecutive even numbers. If the sum of 'p' and 's' is 322, then what is the sum of all the numbers?
800
805
810
815
820
Correct answer
800
There are two containers A and B containing a mixture of juice and water. Container A has 40 liters of mixture which has 35% juice. Container B has 60 liters of mixture which has juice and water in 6:4 ratio. The content of both the containers are mixed in container C. What is the % of juice in the new mixture?
50%
47.5%
40%
38%
45%
Correct answer
50%
A sum of money becomes 4 times of itself in 10 years at simple interest. In what time will it become 24 times of itself at the same rate?
80 years
76 \( \frac{2}{3} \) years
60 years
230 years
73 \( \frac{1}{3} \) years
Correct answer
80 years
Read the following information carefully and answer the questions given below. In a school, 1200 students like at least one subject among Mathematics and Biology. The number of students who like Mathematics is 60% of the total students. The number of students who like both Mathematics and Biology is 40% of the students who like Mathematics. The number of students who like only Biology is 48 more than the number of students who like only Mathematics.
The number of students who like both Mathematics and Biology is what percent of the total students?
20%
22%
28%
26%
24%
Correct answer
20%
Read the following information carefully and answer the questions given below. In a school, 1200 students like at least one subject among Mathematics and Biology. The number of students who like Mathematics is 60% of the total students. The number of students who like both Mathematics and Biology is 40% of the students who like Mathematics. The number of students who like only Biology is 48 more than the number of students who like only Mathematics.
How many students like only Biology?
432
456
480
504
528
Correct answer
432
Read the following information carefully and answer the questions given below. In a school, 1200 students like at least one subject among Mathematics and Biology. The number of students who like Mathematics is 60% of the total students. The number of students who like both Mathematics and Biology is 40% of the students who like Mathematics. The number of students who like only Biology is 48 more than the number of students who like only Mathematics.
How many students like only Mathematics?
384
432
408
456
480
Correct answer
384
A can complete a work in 30 days and B can do it in 24 days. First, A and B work together for 10 days. Then A leaves and C joins B. If C alone can complete the work in 120 days, in how many days is the total work completed?
5 days
12 days
15 days
19 days
23 days
Correct answer
5 days
5 years ago, the age of X is 150% more than Y. 13 years hence, the age of X will be 75% more than that of Y. If the average of present age of X, Y and Z is 40 years, then find the difference between age of X and Z (in years)?
3
27
24
47
43
Correct answer
3
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.