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Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (36 ÷ 2) × 5 –15 × 4 = 20 – 260 ÷ (5 × 3 + 2)
Option 1: 4 and 2
Option 2: 3 and 5
Option 3: 20 and 36
Option 4: 2 and 3
Correct Answer: 2 and 3
Solution : Given: (36 ÷ 2) × 5 – 15 × 4 = 20 – 260 ÷ (5 × 3 + 2)
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 4 and 2
Question : The savings rate is relatively low in developed economies because of
Option 1: low per capita income
Option 2: welfare programmes
Option 3: liquidity/borrowing constraint
Option 4: high interest rate
Correct Answer: welfare programmes
Solution : The correct answer is welfare programs.
It is believed that saving is a result of consuming. Developed economies have lower rates of saving because their levels of consumption are higher than those of developing countries at the same income level. As was recently
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 36 – 145
Option 2: 16 – 63
Option 3: 91 – 363
Option 4: 64 – 255
Correct Answer: 36 – 145
Solution : Let's check the options – First option: 36 – 145; 36 x 4 = 144 – 1 = 143 ≠ 145 Second option: 16 – 63; 16 x 4 = 64 – 1 = 63 Third option: 91 – 363; 91 x 4
Question : How many numbers of players are permitted to be substituted in a game of field hockey?
Option 1: No limit
Option 2: 3
Option 3: 10
Option 4: 5
Correct Answer: No limit
Solution : The correct option is No limit.
In field hockey, each team is allowed to substitute players freely during stoppages in play. Substitutions can occur at any time, and there is no limit to the number of substitutions a team can make.
Question : Directions: In the following question, a series is given, with two terms missing. Choose the correct alternative from the given ones that will complete the series. X, U, R, O, L, I, ?, ?
Option 1: H, G
Option 2: H, E
Option 3: F, C
Option 4: G, E
Correct Answer: F, C
Solution : Given: X, U, R, O, L, I, ?, ?
Here, subtract 3 from the place value of the previous letter to get the next letter – X – 3 = U, U – 3 = R, R – 3 = O, O – 3
Question : Nikunj goes 4 kilometres against the current of a stream in 1 hour, and 2 kilometres along the current in 15 minutes. How long will it take him to go 7 kilometres in stationary water?
Option 1: 1 hour 15 minutes
Option 2: 1 hour 20 minutes
Option 3: 1 hour 10 minutes
Option 4: 1 hour 5 minutes
Correct Answer: 1 hour 10 minutes
Solution : Let the speed of Nikunj in still water as V (in km/h), and the speed of the stream as S (in km/h). When Nikunj goes against the current, his effective speed ⇒ V − S = $\frac{4}{1}$ = 4 km/h When he
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Never such incidents have taken place on our campus.
(1) have such incidents
(2) such incidents will have
(3) were such incidents
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct answer is the first option.
The word order is incorrect in the sentence. When using never to emphasise the negative aspect, the correct word order should be "have such incidents" as per the law of inversion. Inversion is a grammatical structure in which
Question : Two people ride towards each other from two places 55 km apart, one riding at 12 km/hr and the other at 10 km/hr. At what time will they be 11 kilometres apart?
Option 1: 2 hours and 30 minutes
Option 2: 1 hour and 30 minutes
Option 3: 2 hours
Option 4: 2 hours and 45 minutes
Correct Answer: 2 hours
Solution : Given: Two people ride towards each other from two places 55 km apart, one riding at 12 km/hr and the other at 10 km/hr. Relative speed of the two people moving in opposite direction = (12 + 10) = 22 km/hr Now to cover
Question : if $x+\frac{1}{x}=2$, then the value of $x^4+\frac{1}{x^4}$=__________.
Option 1: 0
Option 2: 2
Option 3: –1
Option 4: 1
Correct Answer: 2
Solution : Given: $x+\frac{1}{x}=2$ Squaring both sides, we get ⇒ $(x+\frac{1}{x})^2=2^2$ ⇒ $x^2+\frac{1}{x^2}+2\times x\times\frac{1}{x}=4$ ⇒ $x^2+\frac{1}{x^2}=4-2$ ⇒ $x^2+\frac{1}{x^2}=2$ Again squaring both sides, we get: ⇒ $(x^2+\frac{1}{x^2})^2=2^2$ ⇒ $x^4+\frac{1}{x^4}+2\times x^2\times\frac{1}{x^2}=4$ ⇒ $x^4+\frac{1}{x^4}=4-2$ ⇒ $x^4+\frac{1}{x^4}=2$ Hence, the correct answer is 2.
Question : Which of the following pairs is incorrect regarding paintings in India?
Option 1: Phad Paintings - Rajasthan
Option 2: Saura Paintings - Odisha
Option 3: Bagh Paintings - Madhya Pradesh
Option 4: Guler Paintings - Karnataka
Correct Answer: Guler Paintings - Karnataka
Solution : The correct option is Guler Paintings - Karnataka
Guler Paintings are associated with Himachal Pradesh, particularly the Kangra Valley. They are known for their delicate brushwork, rich colours, and depictions of religious and mythological themes. Guler paintings are characterized by a
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