Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 3125 : 25 :: 1600 : 20 :: 675 : ?
Option 1: 18
Option 2: 10
Option 3: 15
Option 4: 20
Correct Answer: 15
Solution : Given: 3125 : 25 :: 1600 : 20 :: 675 : ?
Like, 3125 : 25→3125 × 5 = 15625; 15625 is the cube of 25. 1600 : 20→1600 × 5 = 8000; 8000 is the cube of 20. Similarly, follow the same pattern for
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.If there is no need to substitute it, select 'No substitution'.
Abraham Lincoln has been the sixteenth president of the United States and save the Union at the American Civil War.
Option 1: No substitution
Option 2: save the Union alongside
Option 3: saved the Union during
Option 4: saved the Union on
Correct Answer: saved the Union during
Solution : The most appropriate option to substitute the underlined segment is the third option.
The original sentence has an error because it combines "has been" (present perfect tense) with "save" (present tense). To maintain tense consistency, we should use "saved"
Question : The radius of a hemisphere is 6.3 cm. What will be its volume?
Option 1: $572.80\ \text{cm}^3$
Option 2: $643.50\ \text{cm}^3$
Option 3: $523.90\ \text{cm}^3$
Option 4: $353.38\ \text{cm}^3$
Correct Answer: $523.90\ \text{cm}^3$
Solution : The volume of a hemisphere with radius $r$ $= \frac{2}{3}\pi r^3$ $=\frac{2}{3}×\frac{22}{7}×6.3×6.3×6.3$ $= 523.90\ \text{cm}^3$ Hence, the correct answer is $523.90\ \text{cm}^3$.
Question : The radii of two concentric circles are 17 cm and 25 cm. A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16 cm, then the length (in cm) of PS is:
Option 1: 41
Option 2: 32
Option 3: 33
Option 4: 40
Correct Answer: 40
Solution : Given: OQ = radius of smaller circle = 17 cm OP = radius of bigger circle = 25 cm QR = 16 cm OD is perpendicular to QR. So, QD = RD = $\frac{16}{2}=8$ cm From ∆ OQD, OQ2 = OD2 + QD
Question : Select the most appropriate one-word substitution for the given words.
Obsessive desire to lose weight by refusing to eat
Option 1: Asphyxia
Option 2: Anorexia
Option 3: Pyrexia
Option 4: Dyslexia
Correct Answer: Anorexia
Solution : The correct choice is the second option.
The term anorexia is specifically associated with an obsessive desire to lose weight by refusing to eat. It is a psychological condition characterised by an extreme aversion to food and an intense focus on achieving and maintaining a
Question : Direction: If FATHER is coded as HCVJGT, then how can SHIP be coded as?
Option 1: TIJQ
Option 2: UJKR
Option 3: THKR
Option 4: UKJR
Correct Answer: UJKR
Solution : Given:
FATHER is coded HCVJGT, and the following pattern is followed:
F + 2 = H ; A + 2 = C ; T + 2 = V ; H + 2 = J ; E + 2 = G ; R + 2 =
Question : A shopkeeper gives a 12% additional discount on the discounted price, after giving an initial discount of 25% on the labelled price of a radio. If the final selling price of the radio is INR 792, then what is its labelled price (in INR)?
Option 1: 1980
Option 2: 2330
Option 3: 1320
Option 4: 1200
Correct Answer: 1200
Solution : Let the labelled price be 100 SP after 1st discount of 25% of 100 = (100 – 25% of 100) = 75. SP after 2nd discount of 12% of 75 = $(75–\frac{75×12}{100})$ = 66. Thus, the selling price = 66% of the labelled price ⇒
Question :
Directions: In the following question, select the related word from the given alternatives. Head : Human Body :: ? : ?
Option 1: Arc : Circle
Option 2: Cube : Circle
Option 3: Square : Circle
Option 4: Triangle : Circle
Correct Answer: Arc : Circle
Solution : Given: Head : Human Body :: ? : ?
Head is a part of the human body. Similarly, an arc is a part of a circle.
Hence, the first option is correct.
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. This compartment is reserved for military person.
Option 1: military personal
Option 2: military personality
Option 3: military members
Option 4: military personnel
Correct Answer: military personnel
Solution : The fourth option is the correct answer.
The total of all active and inactive members of the armed forces and paramilitary units of a country are referred to as military personnel.
Therefore, the correct sentence is, "This compartment is reserved for military personnel".
Question : A shopkeeper earns 10% on an investment but loses 20% on another investment. If the ratio of the two investments is 2 : 3, then the combined loss percentage is:
Option 1: 5.5%
Option 2: 7%
Option 3: 6%
Option 4: 8%
Correct Answer: 8%
Solution : Given, that a shopkeeper earns 10% on an investment but loses 20% on another investment. Ratio of the two investments = 2 : 3 Let the investments be INR 200 and INR 300 Total investment = INR 500 Amount after 10% profit on INR 200
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