Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Amit ranked 7th from the top and 26th from the bottom in his class. How many students are there in the class?
Option 1: 31
Option 2: 33
Option 3: 27
Option 4: 32
Correct Answer: 32
Solution : Given: Amit ranked 7th from the top and 26th from the bottom in his class.
Total number of students in the class = (Position from top) + (Position from bottom) – 1 = 7 + 26 – 1 = 32
Therefore, 32 students are in
Question : Directions: Consider the statements to be true and decide which of the given conclusions/assumptions can be drawn from the given statements. Statements: When water is cooled, it turns into ice. When water is heated, it turns into steam. Conclusions: I. Water is a solid. II. Water is a gas.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : Conclusion I: Water is a solid. The given statements do not state that water is a solid. It states that when water is cooled, turns into ice. The statement mentions the formation and not what it is. Conclusion II: Water
Question : Select the most appropriate ANTONYM of the underlined word in the given sentence.
The thief was caught with a spurious Picasso painting.
Option 1: Fake
Option 2: Stolen
Option 3: Splendid
Option 4: Authentic
Correct Answer: Authentic
Solution : The correct choice is the fourth option.
Authentic means real, genuine, or true. It contrasts with the deceptive nature of something that is spurious.
The meanings of the other options are as follows:
Fake: It is a synonym for "spurious" rather than an antonym. Both
Question : An article was sold for INR 716 after offering a discount of 10.5%. If a discount of 6.5% is given, then for how much (in INR) should it be sold?
Option 1: 748
Option 2: 732
Option 3: 675
Option 4: 756
Correct Answer: 748
Solution : An article was sold = INR 716 Discount = 10.5% Let the marked price be $x$. Selling Price = $\text{Marked Price}×\frac{(100 - \text{Discount%})}{100}$ ⇒ $716 = x×\frac{(100-10.5)}{100}$ ⇒ $716 = x×\frac{89.5}{100}$ ⇒ $x = \frac{716\times100}{89.5}$ $\therefore x =$ INR 800 At a discount of 6.5%,
Question : The simple interest on Rs. 800 for 6 years at 5.5% per annum is equal to the simple interest on Rs. 600 at 4% per annum for a certain period. The period is:
Option 1: 11 years
Option 2: 9 years
Option 3: 12 years
Option 4: 10 years
Correct Answer: 11 years
Solution : Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ Simple interest on Rs. 800 for 6 years at 5.5% per annum = $\frac{800 \times 5.5 \times 6}{100} =$ Rs. 264 Simple interest on Rs. 600 at 4 % per annum for a period T =
Question : 1 packet of biscuits costs Rs. 16, but a pack of 4 of the same packet of biscuits costs Rs. 56. What is the effective discount (in percent) on the pack?
Option 1: 8
Option 2: 10
Option 3: 7.5
Option 4: 12.5
Correct Answer: 12.5
Solution : Marked price of 1 packet of biscuits = Rs. 16 Marked price of 4 packets of biscuits = Rs. 16 × 4 = Rs. 64 The selling price of a pack of 4 packets of biscuits = Rs. 56 Discount % = $\frac{\text{Effective discount}}{\text{Actual Marked
Question : Which of the following is an institutional source of credit in India?
Option 1: Money lenders
Option 2: Commission agents
Option 3: Traders
Option 4: Commercial banks
Correct Answer: Commercial banks
Solution : The correct option is Commercial Bank.
A major portion of credit extended to consumers, companies, and other economic sectors is handled by commercial banks. They receive deposits from the general public and lend this money to borrowers for a range of financial services,
Question : Which of the following commissions recommended that “the appointment of governor should be non-partisan”?
Option 1: Fazal Ali Commission
Option 2: Rajamannar Commission
Option 3: Sarkaria Commission
Option 4: Mandal Commission
Correct Answer: Sarkaria Commission
Solution : The correct answer is the Sarkaria Commission.
The Sarkaria Commission made suggestions about governor appointments. A commission headed by Justice R. S. Sarkaria was constituted by the Union government in June 1983 to examine the issue of centre-state relations. Rather than serving as
Question : If $(x+y+z)=12$, $xy+yz+zx=44$, and $xyz=48$, then what is the value of $x^{3}+y^{3}+z^{3}$?
Option 1: 104
Option 2: 144
Option 3: 196
Option 4: 288
Correct Answer: 288
Solution : Given: $(x+y+z)=12$ $xy+yz+zx=44$ $xyz=48$ We know that $x^{3}+y^{3}+z^{3}=(x+y+z)[(x+y+z)^{2}–3(xy+yz+zx)]+3xyz$ Putting the given values, ⇒ $x^{3}+y^{3}+z^{3}=12×[(12)^{2}–3(44)]+3×48$ ⇒ $x^{3}+y^{3}+z^{3}=12×(144–132)+144$ ⇒ $x^{3}+y^{3}+z^{3}=288$ Hence, the correct answer is 288.
Question : If 847 × 385 × 675 × 3025 = 3a × 5b × 7c × 11d, then the value of ab – cd is:
Option 1: 4
Option 2: 5
Option 3: 1
Option 4: 7
Correct Answer: 5
Solution : $847 × 385 × 675 × 3025 = 3^\text{a} × 5^\text{b} × 7^\text{c} × 11^\text{d}$ We can write the above numbers as $847 = 11 × 11 × 7 = 11^2 × 7^1$ $385 = 5^1 × 7^1 × 11^1$ $675 = 3 × 3
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