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Question : Study the given table and answer the question that follows. The table shows the number of candidates who appeared (App), qualified (Qual), and selected (Sel) in a competitive examination from four states Delli, Goa, Karnataka, and Maharashtra over the years 2012 to 2016. The number of candidates selected from Maharashtra during the period is approximately what percentage of the number selected from Delhi during this period?
Option 1: 96.79%
Option 2: 92.79%
Option 3: 93.39%
Option 4: 94.79%
Correct Answer: 94.79%
Solution : Number of candidates selected from Maharashtra during the period 2012-2016 = 85 + 70 + 84 + 60 + 65 = 364 Number of candidates selected from Delhi during the period 2012-2016 = 94 + 48 + 90 + 70 + 82 = 384 Number
Question : The pie chart given below shows the number of trucks manufactured by six companies in a year. The total number of trucks manufactured by all these six companies is 1440. Number of trucks manufactured by a particular company is shown in terms of degree with respect to the total number of trucks manufactured by all these six companies. What is the difference between the average number of trucks manufactured by K and P and the average number of trucks manufactured by J and M?
Option 1: 160
Option 2: 176
Option 3: 190
Option 4: 162
Correct Answer: 160
Solution : Number of trucks manufactured by K = $\frac{108}{360}$ × 1440 = 432 Number of trucks manufactured by P = $\frac{45}{360}$ × 1440 = 180 $\therefore$ Average number of trucks manufactured by K and P = $\frac{432+180}{2}$ = 306 Number of trucks manufactured by J =
Question : $\frac{\cos \theta}{\sec \theta-1}+\frac{\cos \theta}{\sec \theta+1}$ is equal to :
Option 1: $2 \sec ^2 \theta$
Option 2: $2 \cot ^2 \theta$
Option 3: $2 \cos ^2 \theta$
Option 4: $2 \sin ^2 \theta$
Correct Answer: $2 \cot ^2 \theta$
Solution : $\frac{\cos \theta}{\sec \theta-1}+\frac{\cos \theta}{\sec \theta+1}$ =$\frac{\cos \theta(\sec \theta+1)}{\sec^2 \theta-1}+\frac{\cos \theta(\sec \theta-1)}{\sec^2 \theta-1}$ =$\frac{1+\cos \theta+1-\cos\theta}{\tan^2\theta}$ =$2\cot^2\theta$ Hence, the correct answer is $2\cot^2\theta$.
Question :
Directions: In the following question, select the related word from the given alternatives. Fox : Vixen :: ? : ?
Option 1: Butterfly : Caterpillar
Option 2: Stag : Doe
Option 3: Colt : Horse
Option 4: Bee : Drone
Correct Answer: Stag : Doe
Solution : Given: Fox : Vixen :: ? : ?
Vixen is a feminine fox. Similarly, stag is a male deer and doe is a female deer.
Hence, the second option is correct.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 7, 7, 5, 15, 11, 55, 49, 343, ?
Option 1: 335
Option 2: 293
Option 3: 194
Option 4: 395
Correct Answer: 335
Solution : Given: 7, 7, 5, 15, 11, 55, 49, 343, ?
The pattern is as follows – 7 × 1 = 7; 7 – 2 = 5; 5 × 3 = 15; 15 – 4 = 11; 11 × 5 = 55; 55 – 6 =
Question : Directions: Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? (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 ete. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 46 – 41 – 12
Option 2: 16 – 9 – 21
Option 3: 23 – 18 – 15
Option 4: 34 – 28 – 18
Correct Answer: 46 – 41 – 12
Solution : Let's check each option – First option: 46 – 41 – 12→46 – 41 = 5; 5 × 3 = 15 ≠ 12 Second option: 16 – 9 – 21→16 – 9 = 7; 7 × 3 = 21 Third option:
Question : As per the Constitution of India, Panchayats at the intermediate level may not be constituted in a state having a population not exceeding:
Option 1: twenty-five lakh
Option 2: twenty lakh
Option 3: twelve lakh
Option 4: fifteen lakh
Correct Answer: twenty lakh
Solution : The correct option is twenty lakh.
The Indian Constitution's 73rd Amendment, which deals with Panchayat Raj institutions, states that states with populations of less than 20 lakhs (two million) are not permitted to form Panchayats at the intermediate level, also known as the
Question : Directions: In a certain code language, ABACK is written as MECDC, and CABAL is written as NCDCE. How will EAGER be written in that language?
Option 1: TGICG
Option 2: TGCIG
Option 3: TCIDG
Option 4: TFICG
Correct Answer: TGICG
Solution : Given: ABACK is written as MECDC, and CABAL is written as NCDCE.
Here, add 2 to the place value of each letter of the given words and then arrange the letters following a certain pattern as shown below – ABACK is written as MECDC→
CABAL
Question : The total utility from 9 units of commodity x is 20 and from 10 units is 15. Calculate the marginal utility from the 10th unit.
Option 1: 0.5
Option 2: - 0.5
Option 3: 5
Option 4: - 5
Correct Answer: - 5
Solution : The correct option is - 5.
Marginal utility is the additional satisfaction or usefulness that a consumer derives from consuming an additional unit of a good or service. To calculate the marginal utility from the 10th unit of commodity X, we need to
Question : A part of national debt known as external debt is the amount_______.
Option 1: borrowed by its citizens from abroad
Option 2: lent by its citizens from abroad
Option 3: borrowed by its government from abroad
Option 4: lent by its government to foreign government
Correct Answer: borrowed by its government from abroad
Solution : The correct answer is borrowed by its government from abroad.
External debt is a component of national debt due to creditors outside the country. It could be owing to the government, a bank, or another financial organisation. External debt
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