Staff Selection Commission Multi Tasking Staff Exam
Question : The number of live births per thousand persons in a year is called ______.
Option 1: death rate
Option 2: fertility rate
Option 3: crude rate
Option 4: birth rate
Correct Answer: birth rate
Solution : The correct answer is the birth rate.
Birth rate is the number of live births per thousand people in a year. The number of deaths per thousand persons in a year is known as the death rate. An increase in the birth rate will increase the population density of a region or a country. If the birth and death rate remains equal, then the population density will remain in control.
Question : Peter bought an item at a 20% discount on its original price. He sold it with a 40% increase on the price he bought it. The new sale price is greater than the original price (in percent) by:
Option 1: 10%
Option 2: 8%
Option 3: 7.5%
Option 4: 12%
Correct Answer: 12%
Solution : Let the original price be Rs. 100. The cost price after 20% discount will be Rs. 80. The selling price = 140% of Rs. 80 = $\frac{140}{100}\times80$ = Rs. 112 Percentage change = $\frac{112-100}{100}\times100$ = 12% Hence, the correct answer is 12%.
Question : The following bar chart shows the runs given and overs bowled by a bowler in 6 different matches. Economy rate $=\frac{\text { Runs given }}{\text { Overs bowled }}$ What will be the economy rate of the bowler for all the 6 matches taken together? [Give your answer correct to 2 decimal places.]
Option 1: 7.22
Option 2: 5.46
Option 3: 6.93
Option 4: 6.14
Correct Answer: 6.14
Solution : Runs given = 66 + 56 + 72 + 45 + 20 + 36 = 295 Over bowled = 9 + 10 + 8 + 6 + 8 + 7 = 48 Economy rate $=\frac{\text { Runs given }}{\text { Overs bowled }}$ $=\frac{295}{48}$ $=6.14$ Hence, the correct answer is 6.14.
Question : Sri Lanka is separated from India by the ______.
Option 1: Strait of Malacca
Option 2: Strait of Gibraltar
Option 3: Palk Strait
Option 4: Bering Strait
Correct Answer: Palk Strait
Solution : The correct option is The Palk Strait.
Sri Lanka is separated from the mainland of India by the Palk Strait and the Gulf of Mannar. It is a country located in the southeast of India. The Palk Strait separates India and Sri Lanka and was named after Robert Palk, who was the governor of Madras (1755–1763). The Palk Strait is a strait between Tamil Nadu and the Jaffna District of the Northern Province of Sri Lanka.
Question : Kepler's law of planetary motion states that the square of the period is proportional to the
Option 1: semi-major axis
Option 2: square of the semi-major axis
Option 3: cube of the semi-major axis
Option 4: fourth power of the semi-major axis
Correct Answer: cube of the semi-major axis
Solution : The correct option is a cube of the semi-major axis.
According to Kepler's Law of Periods, a planet's orbital period square is precisely proportionate to its semi-major axis cube. One of Johannes Kepler's three laws of planetary motion was determined in the early 17th century. The semi-major axis of the planet's orbit, denoted by the symbol 'a', is the semi-major axis of the Law of Periods, which is mathematically defined as T2∝ a3. This rule may be used to determine how long an orbit around the sun will last for every planet in the solar system, including Earth.
Question : The table shows the number of boys and girls in the schools. Which school has the minimum number of students?
Option 1: 2
Option 2: 3
Option 3: 5
Option 4: 1
Correct Answer: 5
Solution : The minimum number of students in the school = Number of boys + Number of the girls. The minimum number of students in the school 1 = 44 + 56 = 100 The minimum number of students in the school 2 = 34 + 45 = 79 The minimum number of students in the school 3 = 47 + 34 = 81 The minimum number of students in the school 4 = 95 + 54 = 149 The minimum number of students in the school 5 = 45 + 32 = 77 Hence, the correct answer is the school 5.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the highlighted part of the sentence. In case no improvement is needed, select "No Improvement".
There are schools in either sides of the road.
(1) schools on either side
(2) school on either side
(3) school on either sides
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
Since one is talking about multiple schools on both sides of the road, one should use the plural form "schools" instead of "school". "Side" must be used in the singular form because it refers to one of those options at a time.
The sentence conveys the meaning that there are schools on the left side as well as on the right side of the road. So, even though the sentence collectively talks about both sides of the road, it treats each side separately, and that's why "side" is in the singular form.
Therefore, the correct sentence is: There are schools on either side of the road.
Question : What is the value of $(1\div 4) \ \text{of} \ 16+{120\div 24 \times 10}$?
Option 1: 40
Option 2: 46
Option 3: 50
Option 4: 54
Correct Answer: 54
Solution : $(1\div 4) \ \text{of} \ 16+{120\div 24 \times 10}$ $=4+{120\div 24 \times 10}$ $=4+{5 \times 10}$ $=4+50$ $=54$ Hence, the correct answer is 54.
Question : If the radius of a cylinder is decreased by 12%, then by how much percentage must its height be increased so that the volume of the cylinder remains the same?
Option 1: 29.13%
Option 2: 21.78%
Option 3: 42.56%
Option 4: 34.27%
Correct Answer: 29.13%
Solution : Let's denote the original radius of the cylinder as $r$ and the original height as $ℎ$. Now, if the radius is decreased by 12%, ⇒ $r$′ = $r$ −0.12$r$ = 0.88$r$ ⇒ $V'$ = $π(0.88r)^2h'$ Since the volume remains the same ⇒ $πr^{2}h$ = $π(0.88r)^2h'$ ⇒ $h'$ = $\frac{r^{2}h}{(0.88r)^2}$ ⇒ $h'$ = $\frac{r^{2}h}{(0.7744)r^2}$ ⇒ $h'$ = $\frac{100h}{0.7744}$ – $h$ ⇒ $Δℎ$ = $h'−h$ ⇒ $Δℎ$ = $\frac{100h}{0.7744}$ – $h$ ⇒ Percentage change in height = $\frac{Δh}{h}×100$ = $(\frac{100}{77.44} – 1)×100$ = 29.13% Hence, the correct answer is 29.13%.
Question : Directions: The following bar diagram depicts figures for some agricultural imports from January - May 2008. Answer (as closely as possible) the questions using the data provided here: Agricultural Imports - January to May Average cost per ton over 5 months of period What was the total cost of wheat imports in March?
Option 1: Rs. 3,212
Option 2: Rs. 5,616
Option 3: Rs. 7,042
Option 4: Rs. 2,224
Correct Answer: Rs. 5,616
Solution : Refer to the given bar graph: Cost of Wheat = Rs. 156 Total Wheat import in March = 36 tons Required cost of wheat = 36 × 156 = Rs. 5616 Hence, the correct answer is Rs. 5616.
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