Staff Selection Commission Combined Graduate Level Exam
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 $(a+b)^2(a-b)^2$.
Question : Which actinide, discovered by Glenn T. Seaborg in 1940, is used as a heat source for sensitive electrical components in satellites as well as a power source for satellites?
Option 1: Curium
Option 2: Plutonium
Option 3: Nobelium
Option 4: Americium
Correct Answer: Plutonium
Solution : The correct option is Plutonium.
Plutonium-238, an Actinide discovered by Glenn T. Seaborg in 1940, is utilised as both a power source and a heat source for delicate electrical components in spacecraft. With thermoelectric generators, the heat generated during the radioactive breakdown of Pu-238 can
Question : The centroid of a $\triangle ABC$ is G. The area of $\triangle ABC$ is 60 cm2. The area of $\triangle GBC$ is:
Option 1: 10 cm2
Option 2: 30 cm2
Option 3: 40 cm2
Option 4: 20 cm2
Correct Answer: 20 cm2
Solution : The area of triangle GBC is one-third of the area of $\triangle ABC$. Given that the area of $\triangle ABC$ is 60 cm2. The area of $\triangle GBC=\frac{1}{3} \times 60 = 20$ cm2 Hence, the correct answer is 20 cm
Question : Directions: Select one of the option figures that is embedded in the given figure (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The embedded figure will have the same orientation as the main figure. Only the third option figure is embedded in the given figure.
Hence, the third option is correct.
Question : Directions: Select the figure that will come next in the following series.
Solution : Here, the pattern is as follows – 1. In each figure, the circle is rotating by 90° and also moving corner by corner in an anti-clockwise direction. 2. In each figure the arrow mark figure is rotating by 90° in a clockwise direction and moving side
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
Abhijeet feels extremely tired after working all day long.
Option 1: depressed
Option 2: exhausted
Option 3: sleepy
Option 4: bare
Correct Answer: exhausted
Solution : The correct choice is the second option.
Exhausted is the word that describes someone who feels extremely tired after a long day of work, as it directly conveys the idea of physical fatigue and weariness.
The meanings of the other options are as follows:
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
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