Staff Selection Commission Multi Tasking Staff Exam
Question : If the heights of two cylinders are in the ratio of 7 : 9 and their diameters are in the ratio of 6 : 7, then what is the ratio of the volumes of the cylinders?
Option 1: 6 : 7
Option 2: 7 : 9
Option 3: 5 : 9
Option 4: 4 : 7
Correct Answer: 4 : 7
Solution : The ratio of heights of two cylinders = 7 : 9 Ratio of diameters = ratio of radii = 6 : 7 Ratio of volumes of two cylinders = $\frac{\frac{4}{3}\pi r_1^2h_1}{\frac{4}{3}\pi r_2^2h_2}$ = $\frac{r_1^2h_1}{r_2^2h_2}$ = $\frac{6^2×7}{7^2×9}$ = $\frac{4}{7}$ = 4 : 7 Hence,
Question : Which country is the leading producer of coffee in the world?
Option 1: USA
Option 2: Brazil
Option 3: China
Option 4: India
Correct Answer: Brazil
Solution : The correct answer is Brazil.
The world's largest producer of coffee is Brazil. A remarkable 2,595,000 metric tonnes of coffee beans were produced in Brazil in 2016. Brazil has been the world's top producer of coffee beans for more than 150 years.
Question : Select the most appropriate option to fill in the blank.
Your district is exposed to ______ and also to destructive floods.
Option 1: draught
Option 2: dot
Option 3: drought
Option 4: draft
Correct Answer: drought
Solution : The third option is correct.
The meanings of the words are:
A dot means a small round mark, like a full stop.
Drought means a prolonged period of dry weather.
A draft is a piece of writing, etc., that will probably be changed and improved.
Question : The monthly income of a person is INR 15,000. He saves 20% of his income. If his income increases by 10% and his nominal savings remain the same, then what will be his new expenditure?
Option 1: INR 13,000
Option 2: INR 14,500
Option 3: INR 13,500
Option 4: INR 14,000
Correct Answer: INR 13,500
Solution : The monthly income of a person = INR 15000 Savings = $\frac{20}{100}\times15000=3000$ Expenditure = Income – saving = 15000 – 3000 = 12000 When income increases by 10% = $\frac{110}{100}\times15000=16500$ Savings remain the same, so new expenditure = 16500 – 3000 = 13500 Hence,
Question : What is the atomic number of nitrogen in the science periodic table?
Option 1: 21
Option 2: 7
Option 3: 18
Option 4: 11
Correct Answer: 7
Solution : The correct option is 7.
Nitrogen is a chemical element with atomic number 7. It is a gas at room temperature. Nitrogen is used for the production of ammonia (NH3). The process through which ammonia is produced is known as the Haber
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The new government took __________ last year.
Option 1: after
Option 2: over
Option 3: upon
Option 4: out
Correct Answer: over
Solution : The correct choice is the second option.
The word over is the correct choice in this sentence because it indicates the assumption of control or responsibility. When a new government "takes over," it means it assumes authority and leadership, which is the intended meaning in
Question : Parts of the following sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer. You have to understood what normal political rhetoric looks like.
Option 1: understood what normal
Option 2: political rhetoric looks like
Option 3: No error
Option 4: You have to
Correct Answer: understood what normal
Solution : The right choice is the first option.
Explanation: In the phrase "you have to understood" the error lies in the use of "understood" which is the past participle form of the verb "understand". However, after modal verbs like "have to" which express necessity
Question : What is the value of 9 × 121 + 11 × 84 ÷ 4?
Option 1: 1240
Option 2: 1320
Option 3: 1230
Option 4: 1340
Correct Answer: 1320
Solution : 9 × 121 + 11 × 84 ÷ 4 = 9 × 121 + 11 × 21 = 1089 + 231 = 1320 Hence, the correct answer is 1320.
Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series? TX, XB, BF, FJ, ?
Option 1: KN
Option 2: KM
Option 3: JM
Option 4: JN
Correct Answer: JN
Solution : Given: TX, XB, BF, FJ, ?
In the above-given series, add 4 to the place value of each letter of the previous term to get the next term. TX→T + 4 = X; X + 4 = B XB→X + 4 = B; B +
Question : Find the sum of money invested by a man in a scheme that offers compound interest(compounding annually) at a 6% rate of interest per annum if compound interest for 2 years is Rs. 618.
Option 1: Rs. 7000
Option 2: Rs. 9000
Option 3: Rs. 5000
Option 4: Rs. 4000
Correct Answer: Rs. 5000
Solution : $\text{Total Amount}=\text{Principal}[(1+\frac{\text{Rate}}{100})^{\text{Time}}-1]$ $⇒\text{618}=\text{Principal}[(1+\frac{\text{6}}{100})^{\text{2}}-1]$ $⇒\text{618}=\text{Principal}[(\frac{\text{106}}{100})^{\text{2}}-1]$ $⇒\text{618}=\text{Principal}[(\frac{\text{11236}}{10000})-1]$ $⇒\text{618}=\text{Principal}[(\frac{\text{1236}}{10000})]$ $⇒\text{618}\times (\frac{10000}{1236})=\text{Principal}$ $\therefore\text{Principal}=5000$ Hence, the correct answer is Rs. 5000.
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