Staff Selection Commission Combined Graduate Level Exam
Question : Evaluate: $\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}$
Option 1: $\frac{4}{39}$
Option 2: $\frac{5}{39}$
Option 3: $\frac{10}{39}$
Option 4: $\frac{7}{39}$
Correct Answer: $\frac{5}{39}$
Solution :
$\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}$ $=\frac{1}{(3×5)}+\frac{1}{(5×7)}+\frac{1}{(7×9)}+\frac{1}{(9×11)}+\frac{1}{(11×13)}$ $= \frac{1}{2}×[( \frac{1}{3}− \frac{1}{5})+( \frac{1}{5}− \frac{1}{7})+( \frac{1}{7}− \frac{1}{9})+( \frac{1}{9}− \frac{1}{11})+( \frac{1}{11}− \frac{1}{13})]$ $= \frac{1}{2}×( \frac{1}{3}− \frac{1}{13})$ $= \frac{1}{2}×( \frac{13-3}{39})$ $= \frac{5}{39}$ Hence, the correct answer is $ \frac{5}{39}$.
Question : Select the most appropriate meaning of the given idiom.
Keep your head
Option 1: Protect yourself
Option 2: Respect yourself
Option 3: Remain calm
Option 4: Be furious
Correct Answer: Remain calm
Solution : The correct choice is the third option.
Keep your head is an idiom that means to remain calm in challenging situations.
This is correctly explained in the third option, which says remain calm.
Question : The average salary of male employees in a firm was Rs. 5200 and that of females was Rs. 4200. The mean salary of all the employees was Rs. 5000. What is the percentage of female employees?
Option 1: 80%
Option 2: 20%
Option 3: 40%
Option 4: 30%
Correct Answer: 20%
Solution : Given: The average salary of male employees in a firm = Rs. 5200 The average salary of female employees in a firm = Rs. 4200 The average salary of all employees in a firm = Rs. 5000 By using the rule of alligation, The ratio
Question : A shop provides a flat 50% discount on one shirt, while another provides two successive discounts of 30% and 30%. If the difference in the bill is Rs. 43, find the price of the shirt.
Option 1: Rs. 3,580
Option 2: Rs. 3,850
Option 3: Rs. 3,260
Option 4: Rs. 4,300
Correct Answer: Rs. 4,300
Solution : Assume the price is Rs. 100. After a flat 50% discount, the selling price is (100 – 50) = Rs. 50 After two successive discounts of 30% and 30%, the selling price $=\frac{100 × 70 × 70}{100 × 100} = 49$ So, the difference
Question : Directions: In the following question, select the related number from the given alternatives. 13 : 20 :: 17 : ?
Option 1: 25
Option 2: 26
Option 3: 27
Option 4: 28
Correct Answer: 28
Solution : Given: 13 : 20 :: 17 : ?
Subtract 6 from twice the first number to obtain the second number in each pair. Like, 13 : 20→(13 × 2) – 6 = 26 – 6 = 20 Similarly, follow the same pattern for 17 :
Question : The number of parallel tangents of a circle with a given tangent is:
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : In the image, it is visible that only one parallel image can be drawn to the given tangent. Hence, the correct answer is 1.
Question : Select the option that can be used as a one-word substitute for the underlined group of words. After my father passed away, I used to look at a series of stars, trying to find the unknown.
Option 1: Galaxy
Option 2: Constellation
Option 3: Caravan
Option 4: Horde
Correct Answer: Constellation
Solution : The correct choice is the second option.
We know that a group of stars that forms a pattern and has a name is called a constellation.
The meanings of other given words are as follows:
Question :
Directions: In the following question, select the related word from the given alternatives. Maharashtra : India :: Texas : ?
Option 1: Canada
Option 2: Mexico
Option 3: Brazil
Option 4: USA
Correct Answer: USA
Solution : Given: Maharashtra : India :: Texas : ?
Like, Maharashtra is a state in India. Similarly, Texas is a state in the USA.
Hence, the fourth option is correct.
Question : In which year, the Koya rebellion took place in the eastern Godavari tract?
Option 1: 1882-1883
Option 2: 1874-1875
Option 3: 1879-1880
Option 4: 1887-1888
Correct Answer: 1879-1880
Solution : The correct answer is 1879-1880.
The Koya uprising of 1879-1880, aided by Khonda Sara commanders, marked a series of revolts by the Koya tribe in the eastern Godavari tract (now Andhra Pradesh). Led by Tomma Sora, they protested persecution by the police and moneylenders, the
Question : Directions: Select the option in which the given figure is embedded (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the second option figure.
Hence, the second option is correct.
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