Staff Selection Commission Combined Graduate Level Exam
Question : A boat goes a certain distance at 30 km/hr and comes back the same distance at 60 km/hr. What is the average speed (in km/hr) for the total journey?
Option 1: 45 km/hr
Option 2: 50 km/hr
Option 3: 40 km/hr
Option 4: 35 km/hr
Correct Answer: 40 km/hr
Solution : Given: The speed of the boat is 30 km/hr and 60 km/hr for the same distance. So, average speed = $\frac{2xy}{x+y}$, where $x$ and $y$ are two given speeds of the boat (for the same distance). Putting the values $x$ = 30 and $y$
Question : If $x+y+z = 22$ and $xy+yz+zx = 35$, then what is the value of $\small (x-y)^{2}+(y-z)^{2}+(z-x)^{2}$?
Option 1: 793
Option 2: 681
Option 3: 758
Option 4: 715
Correct Answer: 758
Solution : Given: $x+y+z = 22$ and $xy+yz+zx = 35$ We know that $(x+y+z)^2 = x^2+y^2+z^2+2(xy+yz+zx)$ ⇒ $22^2 = x^2+y^2+z^2+2\times 35$ ⇒ $484 = x^2+y^2+z^2+70$ ⇒ $x^2+y^2+z^2 = 484-70 = 414$ So, $(x-y)^2+(y-z)^2+(z-x)^2 = 2[x^2+y^2+z^2-(xy+yz+zx)]$ ⇒ $(x-y)^2+(y-z)^2+(z-x)^2 = 2[414-35]$ $\therefore(x-y)^2+(y-z)^2+(z-x)^2 = 758$ Hence, the correct answer is
Question : Direction: In the following question, a statement is given followed by two conclusions / Assumptions. You have to consider the statement to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statement.
Statement
If people are intelligent they should be creative.
Assumptions
I. Creativity and intelligence are related.
II. Creative people are intelligent.
Option 1: Both assumptions I and II are invalid
Option 2: Only assumption I is valid
Option 3: Only assumption II is valid
Option 4: Both assumptions I and II are valid
Correct Answer: Only assumption I is valid
Solution : Given:
If people are intelligent, they should be creative.
Now, let's assess the assumptions:
I. Creativity and intelligence are related. This assumption is supported by the statement. The statement implies that there is a relationship between intelligence and creativity. It
Question : If two successive discounts of 20% and 30% are given, what is the net discount (in %)?
Option 1: 40
Option 2: 44
Option 3: 56
Option 4: 60
Correct Answer: 44
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. So, the single discount of two successive discounts of 20% and 30% $=20+30-\frac{20×30}{100}=44\%$ Hence, the correct answer is 44.
Question : Study the given graph and answer the question that follows. The total production of computers in 2013, 2015, and 2018 is x% of the total exports of computers by the company during the six years. The value of x is:
Option 1: $46 \frac{1}{3}$
Option 2: $52 \frac{1}{3}$
Option 3: $53 \frac{1}{3}$
Option 4: $49 \frac{2}{3}$
Correct Answer: $53 \frac{1}{3}$
Solution : Production of computers in 2013 = 180, in 2015 = 300, in 2018 = 320 Exports of computers in 2013 = 140, in 2014 = 240, in 2015 = 200, in 2016= 350, in 2017 = 300, in 2018 = 270 Calculation: The production
Question : Directions: Select the related letter cluster from the given alternatives. AEIM : BFJN :: CGKO : ?
Option 1: DHLP
Option 2: ZVRP
Option 3: BCDK
Option 4: MPQR
Correct Answer: DHLP
Solution : Given: AEIM : BFJN :: CGKO : ?
Add 1 to the place value of each letter of AEIM to obtain the required code – A + 1 = B; E + 1 = F; I + 1 = J; M + 1 = N
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. WOODLAND : ZIRXOUQX :: PERIODIC : SYUCRXLW :: MAGAZINE : ?
Option 1: HERDWBMO
Option 2: LPWXSYCZ
Option 3: NSCAQOLP
Option 4: PUJUCCQY
Correct Answer: PUJUCCQY
Solution : Given: WOODLAND : ZIRXOUQX :: PERIODIC : SYUCRXLW :: MAGAZINE : ?
Add 3 and subtract 6 alternatively to the place value of the letters of WOODLAND and PERIODIC to get their related letter cluster. WOODLAND→W + 3 = Z; O – 6 = I;
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
We are witnessing (not triumph but the breakdown) of democracy.
(1) not the triumph but breakdown
(2) not the triumph but the breakdown
(3) not triumph but breakdown
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
The article "the" should be used before the word triumph to make it specific, conveying the meaning that the people are not witnessing the victory but the breakdown of democracy.
Therefore, the correct sentence would be:
Question : In a $\triangle A B C, \angle B+\angle C=110^{\circ}$, then find the measure of $\angle A$.
Option 1: 90°
Option 2: 70°
Option 3: 80°
Option 4: 60°
Correct Answer: 70°
Solution : In a $\triangle A B C, \angle B+\angle C=110^{\circ}$ The sum of angles in a triangle = 180° ⇒ $\angle A +\angle B+\angle C = 180°$ ⇒ $\angle A + 110° = 180°$ ⇒ $\angle A = 70°$ Hence, the correct answer is 70°.
Question : Direction: Find out the number of all those people who can speak Tamil and Telugu.
Option 1: 3
Option 2: 59
Option 3: 21
Option 4: 112
Correct Answer: 21
Solution : The people who can speak Tamil and Telugu is represented by the region common to the circles representing Tamil and Telugu. The required region is shaded in the venn diagram below –
So, the number of all those people who can speak Tamil and Telugu
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
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The Question is not relevant to User
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