Staff Selection Commission Combined Graduate Level Exam
Question : The probabilities of solving a problem by three students A, B, and C are $\frac{3}{7}, \frac{5}{9}$ and $\frac{1}{5}$, respectively. The probability that the problem will be solved is:
Option 1: $\frac{155}{315}$
Option 2: $\frac{64}{315}$
Option 3: $\frac{251}{315}$
Option 4: $\frac{32}{315}$
Correct Answer: $\frac{251}{315}$
Solution : Let A, B, and C respectively denote the events that the problem is solved by A, B, and C respectively and A', B', and C' respectively denote the events that the problem will not be solved. P(A) = $\frac{3}{7}$; P(A') = $\frac{4}{7}$ P(B) = $\frac{5}{9}$;
Question : Where was India's first computer installed?
Option 1: Indian Institute of Technology , Delhi
Option 2: Indian Institute of Science, Bangalore
Option 3: Indian Iron & Steel Co. Ltd., Burnpur
Option 4: Indian Statistical Institute, Calcutta
Correct Answer: Indian Statistical Institute, Calcutta
Solution : The correct option is Indian Statistical Institute, Calcutta.
The "Hole Card System," India's first computer, was established at the Indian Statistical Institute (ISI) in Calcutta (now Kolkata). This computer, which was built in-house at ISI, went into operation in 1955. The Hole
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
Question : Crossing over occurs during:
Option 1: Leptotene
Option 2: Zygotene
Option 3: Pachytene
Option 4: Diplotene
Correct Answer: Pachytene
Solution : The correct option is Pachytene.
Crossing over, also known as genetic recombination, occurs during meiosis I's pachytene stage. Pachytene is a critical stage in which homologous chromosomes couple up and exchange genetic material via crossing over. By generating novel combinations of alleles on the chromatids
Question : Democratic socialism aims at
Option 1: Bringing about Socialism through peaceful means
Option 2: Brining about Socialism through violent and peaceful means
Option 3: Bringing about Socialism through violent means
Option 4: Bringing about socialism through democrtic means
Correct Answer: Bringing about socialism through democrtic means
Solution : The correct option is Bringing about socialism through democrtic means
The goal of democratic socialism is to enact socialism using democratic methods. It aims to regain the upper hand in terms of freedom and democracy through the maximum possible decentralization
Question : When did India first win the first World Cup title in Hockey?
Option 1: 1975
Option 2: 1978
Option 3: 1971
Option 4: 1982
Correct Answer: 1975
Solution : The correct answer is 1975.
India won the World Cup for the first time in hockey in 1975, beating Pakistan in the final. The competition happened in Malaysia's capital, Kuala Lumpur. India's triumph was significant since they were the very first non-European country to win
Question : If a train is 60 metres long and travelling at 36 km/hr, how long will it take to pass by a telegraph post?
Option 1: 9 seconds
Option 2: 8 seconds
Option 3: 7 seconds
Option 4: 6 seconds
Correct Answer: 6 seconds
Solution : Given: The distance of the train is 60 m and its speed is 36 km/h. To convert km/h into m/s, multiplying by $\frac{5}{18}$ and we get, = $36\times \frac{5}{18}$ = 10 m/s We know that, $\text {Time}=\frac{\text{Distance}}{\text{Speed}}$ So, the train will take the required
Question : Which State in India is estimated to have the largest coal reserves in India?
Option 1: Andhra Pradesh
Option 2: Bihar ( including the newly created Jhakhand )
Option 3: Madhya Pradesh (including the newly created Chhattisgarh)
Option 4: Orissa
Correct Answer: Bihar ( including the newly created Jhakhand )
Solution : The correct option is Bihar ( including the newly created Jhakhand )
Jharkhand, in eastern India, is known for possessing some of the country's greatest coal deposits. The state is rich in mineral resources, with coal accounting for
Question : Directions: In the following question, select the missing number from the given series. 111, 222, 444, ?, 1776, 3552
Option 1: 999
Option 2: 888
Option 3: 1780
Option 4: 1770
Correct Answer: 888
Solution : Given: 111, 222, 444, ?, 1776, 3552
Here, multiply each number by 2 to get the next number. 111 × 2 = 222; 222 × 2 = 444; 444 × 2 = 888; 888 × 2 = 1776; 1776 × 2 = 3552
So, 888
Question : Ramesh claims that he is selling onions at Rs. 36 per kg, which costs him Rs. 40 per kg, but he gives 800 grams instead of 1 kg. Find Ramesh’s percentage of gain or loss.
Option 1: Gain 13.5%
Option 2: Loss 13.5%
Option 3: Loss 12.5%
Option 4: Gain 12.5%
Correct Answer: Gain 12.5%
Solution : The cost price of 1kg onions = Rs. 40 ⇒ Cost price of 800g onions = 0.8 × 40 = Rs. 32 As Ramesh sold 800g instead of 1kg, Selling price of 800g onions = Rs. 36 So, the profit = 36 – 32
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