Basic Mathematics Questions and Answers
The bar chart given below shows the exports (in ₹000) and imports (in ₹000) of a country for 5 consecutive years.
What is the positive difference in the total export figures of all the five years taken together and the total import figures of all the five years taken together?
(A) ₹6,20,000
(B) ₹5,40,000
(C) ₹5,80,000
(D) ₹6,60,000
Correct Answer : D
The following pie chart shows the sectors representing the shares of the number of electric buses manufactured in each of 7 different colours in a given year in terms of the central angles (in degrees) with respect to the total number of buses manufactured during that year of all the 7 colours taken together.
What is the difference in the percentage shares of buses of C4 and C6? [Give your answer correct to 2 decimal places.]
(A) 11.11%
(B) 8.33 %
(C) 9.09 %
(D) 12.5 %
Correct Answer : B
The selling prices of two articles are equal. If the first article is sold at a profit of 20% and the second article is sold at a loss of 20%, what will be the overall loss percentage?
(A) 4%
(B) 3.5%
(C) 2.5%
(D) 2%
Correct Answer : A
The table below gives the ranks secured by five different students in three different subjects in a qualifying examination:
Find the positive difference between the ranks secured by A in Physics and in Maths.
(A) 25
(B) 10
(C) 15
(D) 20
Correct Answer : B
Rachit invests ₹12,000 for a 2-year period at a certain rate of simple interest per annum. Prasad invests ₹12,000 for a 2- year period at the same rate of interest per annum as Rachit, but in Prasad's case the interest is compounded annually. Find the rate of interest per annum if Prasad receives ₹172.80 more as interest than Rachit at the end of the 2-year period.
(A) 10%
(B) 8%
(C) 12%
(D) 5%
Correct Answer : C
If the population of a town is 12.000 and the population increases at the rate of 10% per annum, then find the population. after 3 years.
(A) 15,972
(B) 12,200
(C) 11,200
(D) 10,200
Correct Answer : A
Explanation :
To find the population after 3 years given that it increases at a rate of 10% per annum, you can use the formula for exponential growth:
𝑃=𝑃0×(1+𝑟)𝑛P=P0×(1+r)n
Where:
- 𝑃P = Population after 𝑛n years
- 𝑃0P0 = Initial population
- 𝑟r = Rate of increase (in decimal form)
- 𝑛n = Number of years
Given:
- 𝑃0=12,000P0=12,000 (Initial population)
- 𝑟=0.10r=0.10 (10% increase per annum)
- 𝑛=3n=3 (Number of years)
Substitute these values into the formula:
𝑃=12,000×(1+0.10)3P=12,000×(1+0.10)3
𝑃=12,000×(1.10)3P=12,000×(1.10)3
𝑃=12,000×(1.331)P=12,000×(1.331)
𝑃=15,972P=15,972
So, the population after 3 years would be approximately 15,972.
If 16 : X :: X: 196, find the positive value of x?
(A) 60
(B) 62
(C) 56
(D) 64
Correct Answer : C
80 liters of a mixture of alcohol and water contains 60% alcohol. If 'X' liters of water is added to this mixture, then the percentage of alcohol in the new mixture becomes 40%. What is the value of 'X'?
(A) 20
(B) 80
(C) 40
(D) 60
Correct Answer : C
The length, the breadth, and the height of a cuboid are 40 cm, 20 cm and 10 cm. respectively. What is the volume of this cuboid?
(A) $${16000cm^2}$$
(B) $${8000cm^2}$$
(C) $${8000cm^2}$$
(D) $${4000cm^2}$$
Correct Answer : B
Akshay has 30 articles, each having the same cost price. He marked the price of each article at 30% above its cost price. He sold 15 of the articles at a discount of 20% each, and the remaining 15 articles at a discount of 10% each, thereby gaining a total profit of ₹630. What was the cost price of each article?
(A) ₹240
(B) ₹180
(C) ₹280
(D) ₹200
Correct Answer : D
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Rajesh Bhatia
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