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Question : If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is INR 433.50, then the sum (in INR) is:
Option 1: 15,000
Option 2: 25,000
Option 3: 20,000
Option 4: 12,000
Correct Answer: 15,000
Solution : Difference between Compound Interest and Simple Interest for 2 years = $\frac{PR^{2}}{100^{2}}$ where $R$ is the rate of interest per annum compounded annually and $P$ is principal. ⇒ 433.50 = $P × \frac{17}{100}$ × $\frac{17}{100}$ ⇒ 43350 × 100 = $P$ × 289 ⇒ $P$
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: 432
Option 2: 583
Option 3: 693
Option 4: 671
Correct Answer: 432
Solution : Let's check the options – First option: 432→432 is an even number. Second option: 583→583 is an odd number. Third option: 693→693 is an odd number. Fourth option: 671→671 is an odd number.
So, only the first option is different from the other three options
Question : The following bar chart shows the number of white and black cars sold by 5 different brands in a city during a year.
X = Average number of black cars sold per brand. Y = Average number of white cars sold per brand. What is the value of Y – X?
Option 1: 20
Option 2: 18
Option 3: 12
Option 4: 16
Correct Answer: 12
Solution : The average number of black cars and white cars sold per brand. Total black cars sold: 96 + 114 + 121 + 109 + 120 = 560 X (average black cars sold per brand) = $\frac{560}{5}$ = 112 Total white cars sold: 108 + 122
Question : Directions: In a row of children, Ravi is fourth from right and Sham is second from left. When they interchange positions, Ravi is ninth from right. What will be Sham's position from the left?
Option 1: Fifth
Option 2: Sixth
Option 3: Seventh
Option 4: Eighth
Correct Answer: Seventh
Solution : Given: Ravi is fourth from right and Sham is second from left. When they interchange positions, Ravi is ninth from right. After interchanging Ravi is ninth from right. So, the total number of students in the row = 9 + 1 = 10 Sham’s new
Question : Which of the following is correctly matched?
Option 1: Electric force - kilowatt minute
Option 2: Electric potential - kilowatt seconds
Option 3: Electric energy - kilowatt-hour
Option 4: Electric power - kilohour
Correct Answer: Electric energy - kilowatt-hour
Solution : The correct answer is Electric energy - kilowatt-hour.
The unit of energy usually used to measure electricity consumption is a kilowatt-hour (kWh). It is the amount of energy used over an hour by a device with a 1 kW power rating.
Question : Directions: It took 20 days for all the leaves of a tree to fall. If the number of leaves that fell each day was twice that of the previous day, on which day would the tree be half bare?
Option 1: 10th day
Option 2: 11th day
Option 3: 40th day
Option 4: 19th day
Correct Answer: 19th day
Solution : Let the total number of leaves on the tree be A.
The number of leaves that fell each day = 2 × (the number of leaves that fell on the previous day)
On the 20th day, all leaves fell. The number of leaves fell
Question : What price should Neeraj mark on a shirt that costs INR 840, to earn a profit of 18% after allowing a discount of 16% on the marked price?
Option 1: INR 1,200
Option 2: INR 1,180
Option 3: INR 1,240
Option 4: INR 1,160
Correct Answer: INR 1,180
Solution : Let the marked price is denoted as MP and cost price as CP. After allowing a discount of 16% a profit of 18% is gained. $\frac{CP}{MP}=\frac{100-\text{discount%}}{100+\text{profit%}}$ = $\frac{100-16}{100+18}$ ⇒ $\frac{CP}{MP}=\frac{84}{118}$ Given: Cost price = INR 840 84 unit = 840 ⇒ 1 unit =
Question : Which of the following institutions is mandated by the Constitution to make recommendations to the President on the principles which should govern the grants in-aid of the revenues of the States out of the Consolidated Fund of India?
Option 1: Finance Commission
Option 2: Department of Expenditure
Option 3: Reserve Bank of India
Option 4: Law Commission
Correct Answer: Finance Commission
Solution : The correct answer is the Finance Commission.
The President constitutes the Finance Commission, a body established by the Constitution. It establishes guidelines for how the Centre should allocate funds from the India Consolidated Fund to the states as aid and makes recommendations for
Question : Three numbers are in the ratio 1 : 2 : 3 and the sum of their cubes is 4500. The smallest number is:
Option 1: 4
Option 2: 5
Option 3: 6
Option 4: 10
Correct Answer: 5
Solution : Let the numbers be $x, 2x$ and $3x$. Cubes of the numbers are $x^3, 8x^3$ and $27x^3$. According to the question, $x^3 + 8x^3 + 27x^3 = 4500$ ⇒ $36x^3 = 4500$ ⇒ $x^3 = 125$ $\therefore x = 5$, which is the smallest number.
Question : How does Hydrochloric acid help in facilitating the action of pepsin?
Option 1: Hydrochloric acid creates an acidic medium which facilitates the action of the Enzyme Pepsin.
Option 2: Hydrochloric acid helps break down Pepsin.
Option 3: Hydrochloric acid creates an alkaline medium which facilitates the action of the enzyme pepsin.
Option 4: Hydrochloric acid creates a basic medium which facilitates the action of the enzyme Pepsin.
Correct Answer: Hydrochloric acid creates an acidic medium which facilitates the action of the Enzyme Pepsin.
Solution : The correct answer is Hydrochloric acid creates an acidic medium which facilitates the action of the enzyme Pepsin.
The enzyme Pepsin functions more easily in an acidic solution produced by Hydrochloric
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