Staff Selection Commission Combined Graduate Level Exam
Question : Which of the following numbers is divisible by 11?
Option 1: 5214341
Option 2: 5648741
Option 3: 6598321
Option 4: 2378965
Correct Answer: 5214341
Solution : The difference between the sum of digits at odd positions and the sum of digits at even positions in a number is 0 or 11 to be divided by 11. 5214341: 5 + 1 + 3 + 1 – (2 + 4 + 4) =
Question : A thief, seeing a policeman from a distance of 400 m, started running at a speed of 16 km/hr. The policeman chased him immediately at a speed of 18 km/hr and the thief was caught. What was the distance run by the thief before he was caught by the policeman?
Option 1: 3200 m
Option 2: 3230 m
Option 3: 3240 m
Option 4: 3220 m
Correct Answer: 3200 m
Solution : Thief's speed = 16 km/hr = $16×\frac{5}{18}=\frac{40}{9}$ m/s Policeman's speed = 18 km/hr = $18×\frac{5}{18}=5$ m/s Required distance = $\frac{\text{Difference × Slower speed}}{\text{Faster speed – Slower speed}}$ So, distance $=\frac{400×\frac{40}{9}}{5-\frac{40}{9}}=400×\frac{40}{9}×\frac{9}{5}=3200$ m Hence, the correct answer is 3200 m.
Question : During which of the following periods was the FIFA U-17 Women's World Cup held in 2022?
Option 1: 11-30 October
Option 2: 4-11 April
Option 3: 8-21 June
Option 4: 11-19 December
Correct Answer: 11-30 October
Solution : The correct option is 11-30 October
The FIFA U-17 Women's World Cup 2022 was held from October 11–30, 2022. India hosted the competition, which was held in three cities: Bhubaneswar, Margao, and Navi Mumbai. The event included 16 teams, including the hosts, India.
Question : The reciprocal of the sum of the reciprocals of $\frac{6}{5}$ and $\frac{3}{7}$ is:
Option 1: $\frac{57}{18}$
Option 2: $\frac{35}{57}$
Option 3: $\frac{6}{19}$
Option 4: $\frac{57}{35}$
Correct Answer: $\frac{6}{19}$
Solution : Reciprocal of $\frac{6}{5}=\frac{5}{6}$ Reciprocal of $\frac{3}{7}=\frac{7}{3}$ Their sum = $(\frac{5}{6}+\frac{7}{3})=(\frac{5+14}{6} )=(\frac{19}{6} )$ Reciprocal of sum = $\frac{6}{19}$ Hence, the correct answer is $\frac{6}{19}$.
Question : Which of the following does not have a Stupa?
Option 1: Ranchi
Option 2: Sanchi
Option 3: Barhut
Option 4: Dhamek
Correct Answer: Ranchi
Solution : The correct option is Ranchi
Ranchi lacks of stupas. There are several stupas in India, yet none are in Ranchi. The Deer Park Stupa in Bodh Gaya, Bihar, is the nearest stupa to Ranchi. The Deer Park Stupa is thought to be the location of
Question : Directions: In the following question, a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 21, 26, 33, 42, 53, ?
Option 1: 56
Option 2: 63
Option 3: 66
Option 4: 69
Correct Answer: 66
Solution : Given: 21, 26, 33, 42, 53, ?
Add consecutive odd numbers (starting from 5) to the previous number to get the next number of the series – 21 + 5 = 26; 26 + 7 = 33; 33 + 9 = 42; 42 + 11
Question : Direction: In each of the following questions, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions, if any, follow from the given statements to indicate your answer.
Statements
a. Best performance in the Olympics fetches a gold medal.
b. The player X got a gold medal but later was found to be using a prohibited drug.
Conclusions
I. X should be allowed to keep the gold medal.
II. The gold medal should be withdrawn and given to the next person.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : Given:
Now, let's consider the conclusions:
I. X should be allowed to keep
Question : Who appoints the members of the State Public Service Commission (PSC)?
Option 1: The Chief Minister
Option 2: The Governor
Option 3: The Chief Justice
Option 4: The Vice President
Correct Answer: The Governor
Solution : The correct answer is The Governor.
The Governor of the State appoints the Chairman and members of the State Public Service Commission. The Chairman and members of the Joint Public Service Commission are chosen by the Indian President.
Question : One of the features of a free market economy is
Option 1: active state intervention
Option 2: public ownership of factors of production
Option 3: rationing and price control
Option 4: consumer's sovereignty
Correct Answer: consumer's sovereignty
Solution : The correct option is consumer's sovereignty .
A key principle of a free market economy is consumer sovereignty. It means that, depending on their preferences and purchasing behavior, consumers in a market economy ultimately control what commodities and services are produced, and in what
Question : 2 men and 1 woman can complete a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get:
Option 1: Rs. 150
Option 2: Rs. 140
Option 3: Rs. 120
Option 4: Rs. 160
Correct Answer: Rs. 120
Solution : Given: 2 men and 1 woman can complete a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days and a man gets Rs. 180 per day. Let work done by a man in
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