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Question : The price of sugar increases by 15%. By what percentage should the consumption of sugar be decreased so that the expenditure on the purchase of sugar remains the same? [Give your answer correct to 2 decimal places.]
Option 1: 11.11%
Option 2: 12.5%
Option 3: 14.16%
Option 4: 13.04%
Correct Answer: 13.04%
Solution : Given that the price of sugar is raised by 15% Price = $\frac{\text{Expenditure}}{\text{Consumption}}$ Let the original price be 100x New price after increase in price = $100\text{x}+ 100\text{x} \times \frac{15}{100}$ = 115x As expenditure remains same. Then, $\frac{\text{New consumption}}{\text{Original consumption}} = \frac{\text{Original Price}}{\text{New price}} =
Question : If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased so that the volume of the cylinder remains the same.
Option 1: 32.96 percent
Option 2: 41.72 percent
Option 3: 45.28 percent
Option 4: 36.43 percent
Correct Answer: 41.72 percent
Solution : Let the initial radius be r and height be 100 and the final height be h ⇒ Final radius = r$({1 - \frac{16}{100})}$ = 0.84r Initial volume = Final volume ⇒ $\pi r^{2}$ × 100 = $\pi (0.84r)^{2}$h ⇒ h = $\frac{100}{0.7056}$ = 141.72
Question : Select the most appropriate indirect form of the given sentence. Mary says, “My younger brother wants to be a radio jockey.”
Option 1: Mary says that her younger brother wants to be a radio jockey.
Option 2: Mary says that my younger brother wanted to be a radio jockey.
Option 3: Mary said that her younger brother wanted to be a radio jockey.
Option 4: Mary says that my younger brother wants to be a radio jockey.
Correct Answer: Mary says that her younger brother wants to be a radio jockey.
Solution : The correct choice is the first option.
The indirect form of a sentence involves reporting or paraphrasing what someone else said without using their exact words. It often involves a shift in tense, pronouns,
Question : Select the correctly spelt word.
Option 1: Propensity
Option 2: Constituensy
Option 3: Demoalish
Option 4: Patranise
Correct Answer: Propensity
Propensity is correctly spelt, and it refers to a natural inclination, tendency, or preference for something.
Other words are incorrectly spelt, and their correct spelling are as follows:
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
India will host an international summit on Buddhism here on April 20 and 21. Delegates from 30 countries will participate, a notable exception (1) ________ China. Tibetan spiritual leader, the Dalai Lama, is also unlikely to attend the two-day conclave. The maiden conference being organised by the Union Culture Ministry and the International Buddhist Confederation will discuss (2) ________ global issues through a Buddhist perspective. Over 170 delegates from countries such as Mexico, Cambodia, Laos, Thailand, and Japan and 150 from India will participate in the summit to be held in the national capital. The delegates (3) ________ prominent scholars, monks, diplomats, and members of Buddhist organisations across the globe. The largest number of delegates are from Sri Lanka (20) and Vietnam (30). Abhijit Haldar, Director General of the International Buddhist Confederation, said that while no delegate had been confirmed from China, there would be two participants from Taiwan. “The invitations (4) ________ sent to various Buddhist institutions and not to governments,” Mr. Haldar added. He also mentioned that the Dalai Lama (5) ________ not attend the event due to health issues.
Select the most appropriate option to fill in the blank number 3.
Option 1: included
Option 2: include
Option 3: including
Option 4: includes
Correct Answer: include
Solution : The most appropriate option is the second option.
Explanation: The sentence is referring to the delegates participating in the summit. The subject is "delegates" and the verb needs to agree with this plural subject. "Include" is the correct form of the verb in the present
Question : Select the most appropriate option to fill in the blank.
In all her sorrow she must weep or she will ________.
Option 1: die
Option 2: laugh
Option 3: suffer
Option 4: cry
Correct Answer: suffer
Solution : The third option is correct.
Explanation: In the context of sorrow, the verb suffer is used to convey the emotional distress or pain associated with the feeling of sorrow. The use of suffer also captures the depth and intensity of emotional distress that can
Question : A sum of INR 8,200 was divided among A, B, and C in such a way that A has INR 500 more than B, and C has INR 300 more than A. How much was A's share (in INR)?
Option 1: 2,300
Option 2: 3,100
Option 3: 2,800
Option 4: 2,000
Correct Answer: 2,800
Solution : Let the share of B be $x$. A = INR 500 more than B, so A $=x + 500$ C = INR 300 more than A, so C $=x + 500 + 300 = x+ 800$ According to the question, $x + (x + 500)
Question :
Option 1: 14
Option 2: 64
Option 3: 48
Option 4: 41
Correct Answer: 41
Solution : Given: 876= 12, 864= 81, 895= 22, 824=?
Here,
In 876: 8+7+6= 21, reversing the digits= 12
In 864: 8+6+4= 18, reversing the digits= 81
In 895: 8+9+5= 22, reversing the digits= 22
Similarly, In 824: 8+2+4= 14, reversing the digits=
Question : The amount of oxygen in the atmosphere remains relatively constant because it is given off by
Option 1: oceans
Option 2: animals
Option 3: rocks
Option 4: plants
Correct Answer: plants
Solution : The correct option is plants.
Oxygen is cycled through the environment in a similar way to how water moves from the sky to the earth and back in the water cycle. Beginning with plants, the oxygen cycle begins. Through a process known as photosynthesis,
Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}(a\neq b\neq c)$, then the value of $abc$ is:
Option 1: $\pm 1$
Option 2: $\pm 2$
Option 3: $0$
Option 4: $\pm \frac{1}{2}$
Correct Answer: $\pm 1$
Solution : $a+\frac{1}{b}=b+\frac{1}{c}$ ⇒ $(a-b) = \frac{(b-c)}{bc}$ ----------(i) $a+\frac{1}{b}=c+\frac{1}{a}$ ⇒ $(a-c) = \frac{(b-a)}{ba}$ ----------(ii) $b+\frac{1}{c}=c+\frac{1}{a}$ ⇒ $(b-c) = \frac{(c-a)}{ca}$ -----------(iii) Multiplying (i), (ii) and (iii), ⇒ $(a-b)(a-c)(b-c) = \frac{(b-c)(b-a)(c-a)}{bc×ba×ca}$ ⇒ $1 = \frac{1}{(abc)^2}$ ⇒ $abc = \pm 1$ Hence, the correct answer is $\pm 1$.
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