Staff Selection Commission Combined Graduate Level Exam
Question : Aid or auxiliary to trade includes which of the following?
Option 1: Production
Option 2: Selling
Option 3: Buying
Option 4: Warehousing
Correct Answer: Warehousing
Solution : The correct option is Warehousing.
Aid or auxiliary to trade refers to offerings and undertakings intended to assist and promote trade and business. It consists of several organisations and services that support the efficient operation of trade transactions. Transport, banking, insurance, warehousing, and advertising
Question : According to the World Meteorological Organization report reviewed during 2010-2012, the highest registered shade temperature of _____________was recorded at Al Aziziyah, Libya.
Option 1: 58oC
Option 2: 68oC
Option 3: 50oC
Option 4: 72oC
Correct Answer: 58oC
Solution : The correct option is 58oC.
According to the World Meteorological Organization (WMO) report reviewed during 2010-2012, the highest registered shade temperature of 58.0°C (136.4°F) was recorded at Al Aziziyah, Libya, on September 13, 1922.
Question : Dr. D. S. Athwal was known as the "Father of______Revolution in India'.
Option 1: Oilseed
Option 2: Rice
Option 3: Millet
Option 4: Wheat
Correct Answer: Wheat
Solution : The correct option is Wheat.
Dr. D. S. Athwal is known for his significant contributions to the Green Revolution in India. He played a crucial role in the development and promotion of high-yielding crop varieties, which helped to transform India's agricultural landscape and increase food
Question : A is 40% more efficient than B. How much time will they take to work together to complete a job which A alone could have done in 31 days?
Option 1: $\frac{217}{12}\ \text{days}$
Option 2: $\frac{515}{32}\ \text{days}$
Option 3: $\frac{215}{12}\ \text{days}$
Option 4: $\frac{517}{32}\ \text{days}$
Correct Answer: $\frac{217}{12}\ \text{days}$
Solution : Given: A is 40% more efficient than B. The time taken by A to complete the task alone is 31 days. Work = Time × Efficiency. Let B's efficiency be 100. Then, $\frac{A}{B} = \frac{140}{100}$ ⇒ $\frac{A}{B} = \frac{7}{5}$ The total work is done
Question : A man purchased some oranges at the rate of 3 for Rs. 40 and the same quantity at 5 for Rs. 60. If he sells all the oranges at the rate of 3 for Rs. 50, find his gain or loss percentage (to the nearest integer).
Option 1: 32% profit
Option 2: 31% loss
Option 3: 34% loss
Option 4: 31% profit
Correct Answer: 32% profit
Solution : Let the man purchase 15 oranges of each type (least common multiple of 3 and 5). The cost price of the first type = $\frac{40}{3}×15=200$ The cost price of the second type = $\frac{60}{5}×15=180$ The total cost price = 200 + 180 = 380
Question : Select the most appropriate synonym of the underlined word. The foreign company is chary of investing in Africa.
Option 1: keen
Option 2: fervent
Option 3: confident
Option 4: cautious
Correct Answer: cautious
Solution : The fourth option is correct.
Chary suggests a wariness or reluctance, often accompanied by a sense of being spared or cautious when taking risks. On the other hand, cautious emphasises general prudence and carefulness in actions to avoid potential harm or mistakes.
The meanings of
Question : A sum of Rs. 15525 is divided among Sunil, Anil, and Jamil such that if Rs. 22, Rs. 35, and Rs. 48 are diminished from their shares, respectively, their remaining sums shall be in the ratio 7 : 10 : 13. What would have been the ratio of their sums if Rs. 16, Rs. 77, and Rs. 37, respectively, were added to their original shares?
Option 1: 9 : 13 : 17
Option 2: 18 : 26 : 35
Option 3: 36 : 52 : 67
Option 4: None of these
Correct Answer: 36 : 52 : 67
Solution : Total sum = Rs.15525 Distributed sum = 15525 – 22 – 35 – 48 = Rs.15420 The ratio of remaining share = 7 : 10 : 13 New share of Sunil = ($\frac{7}{7+10+13}$ × 15420) + 22 + 16 = ($\frac{7}{30}$
Question : If $P=2^2+6^2+10^2+14^2+....+ 94^2$ and $Q=1^2+5^2+9^2+...+81^2$, then what is the value of $P - Q$?
Option 1: 24645
Option 2: 26075
Option 3: 29317
Option 4: 31515
Correct Answer: 26075
Solution : Given: $P=2^2+6^2+10^2+14^2+....+94^2$ and $Q=1^2+5^2+9^2+...+81^2$ $⇒P-Q = (2^{2}-1^{2})+(6^{2}-5^{2})+(10^{2}-9^{2})+....+(82^{2}-81^{2})+86^{2}+90^{2}+94^{2}$ $⇒P-Q=3+11+19+27+.......+163(\text{A.P. with 21 terms})+86^{2}+90^{2}+94^{2}$ $⇒P-Q=\frac{21}{2}[2×3+(21–1)8]+86^{2}+90^{2}+94^{2}$ $⇒P-Q=\frac{21}{2}[6+(20)8]+86^{2}+90^{2}+94^{2}$ $⇒P-Q=\frac{21}{2}[166]+(90-4)^{2}+90^{2}+(90+4)^{2}$ $⇒P-Q=1743+(90^{2}-2×90×4+4^{2})+90^{2}+(90^{2}+4^{2}+2×90×4)$ $⇒P-Q=1743+8100+16+8100+8100+16$ $\therefore P-Q=26075$ Hence, the correct answer is 26075.
Question : Suman paid INR 9,600 in interest on a loan she obtained 5 years ago with a simple interest rate of 16%. What was the amount of the loan she had taken?
Option 1: INR 13,250
Option 2: INR 12,500
Option 3: INR 12,000
Option 4: INR 11,750
Correct Answer: INR 12,000
Solution : Let the principal be $\text{x}$. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $9600=\frac{\text{x × 16 × 5}}{100}$ ⇒ $\text{x}=\frac{\text{9600 × 100}}{\text{16 × 5}}$ ⇒ $\text{x}=12000$ Hence, the correct answer is INR 12000.
Question : The mean proportional of $(a+b)(a-b)^3,(a+b)^3(a-b)$ is:
Option 1: $(a+b)^2(a–b)^2$
Option 2: $(a+b)^2(a–b)$
Option 3: $(a+b)(a–b)^2$
Option 4: $a^2-b^2$
Correct Answer: $(a+b)^2(a–b)^2$
Solution : Let the mean proportion of $(a+b)(a-b)^3,(a+b)^3(a-b)$ be $x$. Mean proportion of $A$ and $B$ = $\sqrt{A×B}$ ⇒ $x=\sqrt{ (a+b)(a-b)^3 \times (a+b)^3(a-b)}$ ⇒ $x = \sqrt{(a+b)^4 (a-b)^4}$ ⇒ $x = (a+b)^2(a-b)^2$ Hence, the correct answer is $(a+b)^2(a-b)^2$.
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