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Question : Directions: Arrange the following words according to the dictionary order. a. Approach b. Appropriate c. Approval d. Approve
Option 1: a, c, d, b
Option 2: a, b, d, c
Option 3: c, d, a, b
Option 4: a, b, c, d
Correct Answer: a, b, c, d
Solution : Given: a. Approach b. Appropriate c. Approval d. Approve
Step 1: Since all the words start with the same letter A, so move on to the next letter. Step 2: The second, third, fourth, and fifth letters of each word are
Question : The difference of $5.\overline{76}$ and $2.\overline{3}$ is:
Option 1: $2.\overline{54}$
Option 2: $3.\overline{73}$
Option 3: $3.\overline{46}$
Option 4: $3.\overline{43}$
Correct Answer: $3.\overline{43}$
Solution : $5.\overline{76} = 5 + \frac{76}{99}$ $2.\overline{3} = 2 + \frac{3}{9}$ Now, $5 + \frac{76}{99} - 2 - \frac{3}{9}$ = $3 + (\frac{76}{99} - \frac{3}{9})$ = $3 + (\frac{43}{99})$ = $3\frac{43}{99}$ = $3.\overline{43}$ Hence, the correct answer is $3.\overline{43}$.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The Councillor behaves as if he is the Chief Minister.
(1) has been
(2) were
(3) was
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct answer.
The sentence expresses a hypothetical or unreal situation, which calls for the subjunctive mood. When we use "as if" to introduce a hypothetical or contrary-to-fact situation, the verb that follows is often in the subjunctive form i.e., "were",
Question : Refer to the following data table and answer the following Question.
The polygon shows the cumulative production of cars manufactured in the month starting from January. How many cars were manufactured in the months of April and May?
Option 1: 1040
Option 2: 1360
Option 3: 920
Option 4: 4640
Correct Answer: 1040
Solution : To find the number of cars manufactured in a specific month, we take the difference of the cumulative production of the previous month from that of the current month. The number of cars manufactured in April = 1970 – 1630 = 340 The number of
Question : The least common multiple of a and b is 42. The LCM of 5a and 11b is:
Option 1: 2310
Option 2: 4620
Option 3: 210
Option 4: 462
Correct Answer: 2310
Solution : The least common multiple of a and b is 42 According to the question, LCM(a, b) = 42 LCM(5a, 11b) = LCM of {LCM(5,11)(a,b)} LCM(55, 42) = 55 × 42 = 2310 Hence, the correct answer is 2310.
Question : Vitamin K is related to which of the following?
Option 1: Fertility
Option 2: Blood synthesis
Option 3: Blood clotting
Option 4: Skin integrity
Correct Answer: Blood clotting
Solution : The correct option is Blood clotting.
Vitamin K is a fat-soluble nutrient that is crucial for blood clotting, and bone health. It comes in two forms: K1, which is found in green leafy vegetables, and K2, which is created by gut bacteria, and found
Question : Ryotwari system of revenue collection in India, introduced by the British, was based on the_______.
Option 1: Smith's theory of rent
Option 2: Ricardian theory of rent
Option 3: Malthusian theory of rent
Option 4: Marx's theory of rent
Correct Answer: Ricardian theory of rent
Solution : The correct answer is the Ricardian theory of rent.
Thomas Munro and Charles Reed introduced the Ryotwari System to India in the year 1820. During the Madras presidency, it was first introduced. Under this system, the peasants were the ones who
Question : If $\tan \theta+\sec \theta=7, \theta$ being acute, then the value of $5 \sin \theta$ is:
Option 1: $\frac{25}{24}$
Option 2: $\frac{24}{25}$
Option 3: $\frac{1}{24}$
Option 4: $\frac{24}{5}$
Correct Answer: $\frac{24}{5}$
Solution : Given: $\tan\theta+\sec\theta=7$ --------------------(1) We know that $\sec^2\theta-\tan^2\theta=1$ ⇒ $(\sec\theta+\tan\theta)(\sec\theta-\tan\theta)=1$ ⇒ $7×(\sec\theta-\tan\theta)=1$ ⇒ $\sec\theta-\tan\theta=\frac{1}{7}$ --------------------(2) Adding equations (1) and (2) we get, $2\sec\theta=7+\frac{1}{7}$ ⇒ $\sec\theta=\frac{25}{7}$ ⇒ $\cos\theta=\frac{7}{25}$ ⇒ $\sin\theta=\sqrt{1-(\frac{7}{25})^2}$ ⇒ $\sin\theta=\frac{24}{25}$ ⇒ $5\sin\theta=\frac{24}{5}$ Hence, the correct answer is $\frac{24}{5}$.
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. "I am proud to (1)_____ to a religion which has taught the world both tolerance (2)_____ universal acceptance," he declared (3)_____September 11, 1893. "We believe not only in universal toleration; (4)_____ we accept all religions as true. I am proud to belong to a nation which has sheltered the persecuted and the (5)_____ of all religions and all nations of the earth.
Select the most appropriate option to fill in the blank number 1.
Option 1: belong
Option 2: live
Option 3: behest
Option 4: gain
Correct Answer: belong
Solution : The most appropriate choice to fill in the blank is the first option.
Explanation: The sentence structure indicates that the speaker is expressing pride in being associated with or connected to a religion.
The verb belong precisely conveys this sense of affiliation or association.
Question : A man invests half his capital at the rate of 10% per annum, one-third at 9% and the rest at 12% per annum. The average rate of interest per annum, which he gets, is:
Option 1: 9%
Option 2: 10%
Option 3: 10.5%
Option 4: 12%
Correct Answer: 10%
Solution : Use: Simple Interest = $\frac{\text{Principle × Rate × Time}}{100}$ and Average rate of interest = $\frac{\text{Total Interest}}{100×\text{Principal}}$ Let the total amount = Rs. $x$ Given: A man invests half his capital at the rate of 10% per annum, one-third at 9%. Remaining amount = $x-(\frac{x}{2}+\frac{x}{3})$
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