Staff Selection Commission Combined Graduate Level Exam
Question : Directions: A constituency is divided into four regions: A, B, C and D. Two candidates, X and Y, contested the last election from that constituency. The adjoining graph gives the breakdown of voting in the four regions. Study the graph and answer the following question: Approximately, how much percentage of voters did not cast their votes?
Option 1: 4.9%
Option 2: 4.5%
Option 3: 0.23%
Option 4: 23%
Correct Answer: 4.9%
Solution : Based on the given graph: The number of voters who did not vote = 1 + 9 + 5 + 8 = 23 voters Total number of votes = 41 + 97 + 52 + 59 + 225 = 474 votes Required percentage = $\frac{\text{The
Question : What is the equation of the line whose y-intercept is 4 and is making an angle of 45° with the positive x-axis?
Option 1: $x+y=–4$
Option 2: $x–y=4$
Option 3: $x+y=4$
Option 4: $x–y= – 4$
Correct Answer: $x–y= – 4$
Solution : Given: The line whose y-intercept is 4 and its making angle of 45° with the positive x-axis. Slope of the line, $m = \tan 45°=1$ By using the slope and y-intercept of the line, Slope intercept form, $y=mx+c$ $⇒y=(1)x+4$ $⇒x-y=- 4$ This is
Question : A conical tent has to accommodate 25 persons. Each person must have 4 m2 of space on the ground and 80 m3 of air to breathe. Find the height of the tent.
Option 1: 60 m
Option 2: 50 m
Option 3: 40 m
Option 4: 45 m
Correct Answer: 60 m
Solution : Given: A conical tent has to accommodate 25 persons. Each person must have 4 m2 of space on the ground and 80 m3 of air to breathe. ⇒ The total base area = 4 × 25 = $\pi r^2$ = 100 m
Question : The LCM of $\frac{3}{8}, \frac{5}{16},$ and $\frac{7}{2}$ is:
Option 1: $101 \frac{1}{2}$
Option 2: $52 \frac{1}{2}$
Option 3: $28 \frac{1}{2}$
Option 4: $25 \frac{1}{4}$
Correct Answer: $52 \frac{1}{2}$
Solution : LCM of Fraction = $\frac{\text {LCM of numerator}}{\text{HCF of denominator}}$ LCM of 3, 5, and 7 = 3 × 5 × 7 = 105 HCF of 8, 16, and 2 = 2 So, LCM of $\frac{3}{8}, \frac{5}{16}$ and $\frac{7}{2}=\frac{105}{2}=52 \frac{1}{2}$ Hence, the correct answer
Question : An aeroplane travels five times as fast as a bus. If the bus covers 60 km in 80 minutes, what distance (in km) will the aeroplane cover in 25 minutes?
Option 1: 95.35
Option 2: 93.75
Option 3: 65.35
Option 4: 18.75
Correct Answer: 93.75
Solution : Given: An aeroplane travels five times as fast as a bus. Distance = Speed × Time The bus covers 60 km in 80 minutes. So, the speed of bus is $\frac{60}{80}$ = $\frac{6}{8}$ km per min. Then, the speed of the aeroplane is 5 ×
Question : A and B can do a piece of work in 18 days. B and C together can do it in 30 days. If A is twice as good a workman as C, find how many days B alone can do the work.
Option 1: 90 days
Option 2: 100 days
Option 3: 80 days
Option 4: 75 days
Correct Answer: 90 days
Solution : Given: A and B can do a piece of work in 18 days. The work done by A and B in 1 day = $\frac{1}{18}$. B and C together can do it in 30 days. The work done by B and C in 1
Question : Directions: In a certain code language, DICTATOR is written as DROTATCI, and GLIMPSE is written as GESPMIL. How will CONDEMN be written in that language?
Option 1: CNONMED
Option 2: NMEDNOC
Option 3: NCONDEM
Option 4: CNMEDNO
Correct Answer: CNMEDNO
Solution : Given: DICTATOR is written as DROTATCI and GLIMPSE is written as GESPMIL.
In the words DICTATOR, the first letter remains fixed at its position, and the remaining letters are written in reverse order – DICTATOR→D = D; ICTATOR = ROTATCI Thus, DICTATOR is coded as
Question : Suppose $\triangle A B C$ be a right-angled triangle where $\angle A=90^{\circ}$ and $A D \perp B C$. If area $(\triangle A B C)$ $=80 \mathrm{~cm}^2$ and $BC=16$ cm, then the length of $AD$ is:
Option 1: 10 cm
Option 2: 24 cm
Option 3: 18 cm
Option 4: 12 cm
Correct Answer: 10 cm
Solution : Base, BC = 16 cm Area $(\triangle A B C)$ $=80 \mathrm{~cm}^2$ $A D \perp B C$ Area of $(\triangle A B C)$ = $\frac{1}{2}\times BC \times AD$ ⇒ 80 = $\frac{1}{2}\times 16 \times AD$ ⇒ AD = 10 cm Hence, the correct answer
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Lambast 2. Lighten 3. Legacy 4. Languish 5. Laughter 6. Lightly
Option 1: 1, 4, 5, 3, 2, 6
Option 2: 1, 4, 5, 2, 3, 6
Option 3: 1, 5, 4, 2, 3, 6
Option 4: 1, 5, 4, 3, 6, 2
Correct Answer: 1, 4, 5, 3, 2, 6
Solution : Given: 1. Lambast 2. Lighten 3. Legacy 4. Languish 5. Laughter 6. Lightly
Step 1: Since the first letter of all the words is L, move on to the next letter. Step 2: The second letter of each word
Question : The base of a pyramid is an equilateral triangle of side 10 m. If the height of the pyramid is $40 \sqrt{3}$ m, then the volume of the pyramid is:
Option 1: 1,000 m3
Option 2: 1,200 m3
Option 3: 9,00 m3
Option 4: 8,00 m3
Correct Answer: 1,000 m3
Solution : Given: The base of a pyramid is an equilateral triangle of side 10 m. The height of the pyramid is $40 \sqrt{3}$ m. Use the formulas, The volume of the pyramid = $\frac{1}{3}\times (\text{The area of the base})\times (\text{Height})$, The area of the
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