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Question : Motorcyclist P started his journey at a speed of 30 km/h. After 30 minutes, motorcyclist Q started from the same place but with a speed of 40 km/h. How much time (in hours) will Q take to overtake P?
Option 1: $1$
Option 2: $\frac{3}{2}$
Option 3: $\frac{3}{8}$
Option 4: $2$
Correct Answer: $\frac{3}{2}$
Solution : Relative speed in the same direction = (40 – 30) = 10 km/hr Distance covered by P in 30 minutes, = $(30×\frac{1}{2})=15$ km The time it will take Q to overtake P = $\frac{15}{10}$ = $\frac{3}{2}$ hr Hence, the correct answer is $\frac{3}{2}$.
Question : Select the appropriate synonym for the underlined word. The physics of laser-driven fusion is very complex.
Option 1: Convoluted
Option 2: Streamline
Option 3: Simplified
Option 4: Modest
Correct Answer: Convoluted
Solution : The first option is correct.
In the sentence, the term complex describes the intricate and involved nature of the physics of laser-driven fusion. Similarly, convoluted refers to something that is extremely complex, intricate, or difficult to understand due to its intricate twists and turns.
The
Question : Raman spends 80% of his income. If his income is increased by 25% and the expenditure increases by 10%, what will be the percentage increase in his savings?
Option 1: 17%
Option 2: 70%
Option 3: 77%
Option 4: 85%
Correct Answer: 85%
Solution : Let Raman's income be Rs. 100. Raman spends 80% = $\frac{80}{100}× 100$ = Rs. 80 Raman's savings = 100 – 80 = Rs. 20 If his income is increased by 25%, New income $=\frac{125}{100} × 100 = 125$ If his expenditure increases by 10%, New
Question : If a number x is divisible by 8, 12 and 16, and it leaves the remainder of 3 in each case, the possible value of x is:
Option 1: 148
Option 2: 149
Option 3: 150
Option 4: 147
Correct Answer: 147
Solution : Given: A number x is divisible by 8, 12, and 16. It leaves a remainder of 3 in each case. Taking the LCM of 8, 12 and 16 = ( 2×2×2×3×2) = 48 So, the number x = 48k + 3 (let k be any
Question : The following table shows the number of engineers (in hundreds) in different countries for four years. Find the average number of engineers in Canada in the given years.
Option 1: 25000
Option 2: 22500
Option 3: 23000
Option 4: 24500
Correct Answer: 22500
Solution : Average number of engineers in Canada = $\frac{12000+32000+18000+28000}{4}$ = $\frac{90000}{4}$ = $22500$ Hence, the correct answer is 22500.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Paradise Lost (1) / is (2) / a epic poem. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
"An" is the correct article to use instead of "a" to make the sentence grammatically accurate. "An" is used before words that start with a vowel sound.
Therefore, the correct sentence is: "Paradise Lost is
Question : A person deposited INR 500 for 3 years, INR 650 for 5 years, and INR 1,250 for 7 years. He received a total simple interest of INR 1,620. The rate of interest per annum is:
Option 1: 12%
Option 2: 13%
Option 3: 10.8%
Option 4: 11%
Correct Answer: 12%
Solution : Given: A person deposited INR 500 for 3 years, INR 650 for 5 years, and INR 1,250 for 7 years. Total Simple Interest = INR 1,620 Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ According to the question, ⇒ $1620=\frac{500×R×3}{100}+\frac{650×R×5}{100}+\frac{1250×R×7}{100}$ ⇒ $1620=15R+\frac{65R}{2}+\frac{175R}{2}$ ⇒ $1620=\frac{30R+65R+175R}{2}$ ⇒
Question : A fan is listed at Rs. 150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to Rs. 108?
Option 1: 15%
Option 2: 10%
Option 3: 5%
Option 4: 20%
Correct Answer: 10%
Solution : Selling price = marked price – discount The selling price of the fan after the first discount is: $⇒150 - \frac{20}{100} \times 150 = $ Rs.120 Let the additional discount as $x$. So, $120 - \frac{x}{100} \times 120 = 108$ $⇒\frac{x}{100} \times 120 = 120
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (12, 22, 34) (14, 15, 29)
Option 1: (10, 20, 24)
Option 2: (16, 17, 33)
Option 3: (8, 9, 15)
Option 4: (14, 15, 19)
Correct Answer: (16, 17, 33)
Solution : Given: (12, 22, 34); (14, 15, 29)
Add the first and second numbers, to get the third number – (12, 22, 34)→12 + 22 = 34 (14, 15, 29)→14 + 15 = 29
Let's check each option – First option: (10, 20, 24)→10
Question : The longest River in the world is:
Option 1: Ganga
Option 2: Nile
Option 3: Brahmaputra
Option 4: Amazon
Correct Answer: Nile
Solution : The correct answer is Nile.
The Nile is the longest River in the world, originates from Lake Victoria and drains into the Mediterranean Sea. It is formed by the confluence of the Blue Nile and the White Nile. Its drainage basin includes Tanzania, Burundi,
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