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Question : A vendor bought a book, marked at INR 850 at successive discounts of 20% and 10%, respectively. He spent INR 55 on transport and sold the book for INR 980. What will be his profit percentage (rounded off to 2 decimal places)?
Option 1: 45.65%
Option 2: 48.25%
Option 3: 50.65%
Option 4: 46.93%
Correct Answer: 46.93%
Solution : Marked price = INR 850 Price after 20% discount = INR $(850 - \frac{20}{100}\times 850)$ = INR 680 Price after further 10% discount = INR $(680 - \frac{10}{100}\times 680)$ = INR 612 Selling price = INR 980 Transport = INR 55 Total spent = INR
Question : Select the option with the correct spellings to replace the underlined words in the given sentence.
The enchanteng scenary of the beautiful lake was mesmerising.
Option 1: enchanting; scenery
Option 2: encanting; scenery
Option 3: enchenting; seenary
Option 4: enchantine; senery
Correct Answer: enchanting; scenery
Solution : The correct choice is the first option.
The correct spellings are enchanting and scenery. Enchanting is the correct spelling of the adjective describing the scenery, and scenery refers to the natural landscape or view.
Therefore, the correct sentence is: The enchanting scenery of the
Question : Directions: In the following question, a sentence is given with blanks that are to be filled in with appropriate words. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The king plans to move the kingdom away from _________domestic energy consumption, a change that will allow the Saudis to ___________ oil exports in the years to come.
Option 1: extravagant, decrease
Option 2: wasteful, increase
Option 3: unnecessary, minimise
Option 4: substantial, moderate
Correct Answer: wasteful, increase
Solution : The correct choice is the third option.
Wasteful: Using or expending resources carelessly, extravagantly, or for no purpose. This is the correct option, as it conveys the idea of inefficient energy consumption that the king plans to move the kingdom away from.
Increase: To
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 30
Option 2: 34
Option 3: 36
Option 4: 32
Correct Answer: 32
Solution : The cube root of the product of the first and second numbers is equal to the third number – Row I: 25 × 40 = $\sqrt[3]{1000 }$ = 10 Row II: 81 × 9 = $\sqrt[3]{729}$ = 9 Similarly, in Row III: X × 16
Question : As per the Constitution of India, the subject of "livestock and animal husbandry" is included in the:
Option 1: Residuary List
Option 2: Concurrent List
Option 3: Union List
Option 4: State List
Correct Answer: State List
Solution : The correct answer is State List
According to the Indian Constitution, "livestock and animal husbandry" is one of the topics covered by the State List. The state, concurrent, and union lists are the three lists that fall under the 7th schedule of the Indian
Question : Directions: Three statements are followed by three conclusions numbered I, II, and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow/s from the given statements. Statements: Few chips are cakes. All cakes are ice creams. All ice creams are sweets. Conclusions: (I) Some sweets are cakes. (II) Some ice creams are cakes. (III) All cakes are sweets.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: All conclusions I, II and III follow
Option 4: Either conclusion I or conclusion III follows
Correct Answer: All conclusions I, II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some sweets are cakes – From the Venn diagram, it is evident that some parts of the circle representing
Question : A difference curve measures _______ level of satisfaction derived from different combinations of commodities X and Y.
Option 1: same
Option 2: higher
Option 3: lower
Option 4: minimum
Correct Answer: same
Solution : The correct answer is the same.
An indifference curve evaluates the same amount of enjoyment gained from different commodity X and Y pairings. In other words, it depicts the combinations of products X and Y that offer a similar amount of satisfaction or utility
Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: I. All whites are liquid. II. Some poles are white. Conclusions: I. All poles are liquid. II. Some liquids are poles. III. All liquids are white.
Option 3: Only conclusion II and III follow
Option 4: Neither conclusion follows
Correct Answer: Only conclusion II follows
Let's analyse the conclusions – Conclusion (I): All poles are liquid – The circle of poles intersects with the circle of liquid and has only some common part between
Question : $ \sqrt{\frac{1+\cos \theta}{1-\cos \theta}}+\sqrt{\frac{1-\cos \theta}{1+\cos \theta}}=$________.
Option 1: $2 \sin \theta$
Option 2: $2 \cos \theta$
Option 3: $ 2 \operatorname{cosec} \theta $
Option 4: $2 \sec \theta$
Correct Answer: $ 2 \operatorname{cosec} \theta $
Solution : Given: $\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}+\sqrt{\frac{1-\cos \theta}{1+\cos \theta}}$ = $ \frac{(1+\cos \theta) + (1-\cos \theta)}{\sqrt{(1-\cos \theta)(1+\cos \theta)}}$ = $ \frac{2}{\sqrt{(1-\cos^2 \theta)}}$ = $\frac{2}{\sin \theta}$ = $ 2 \operatorname{cosec} \theta $ Hence, the correct answer is $ 2 \operatorname{cosec} \theta $.
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).
Please switch of the fan.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The first option is the correct answer.
Switch-off means to turn off or deactivate an electrical device or system. This is the only option that fits the sentence.
Hence, the correct sentence is: "Please switch off the fan."
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