Staff Selection Commission Combined Graduate Level Exam
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
Question : The third proportional of $a$ and $\frac{b^4}{4a}$ is:
Option 1: $\frac{b^8}{16 a^2}$
Option 2: $\frac{b^8}{8 a^2}$
Option 3: $\frac{b^8}{8 a^3}$
Option 4: $\frac{b^8}{16 a^3}$
Correct Answer: $\frac{b^8}{16 a^3}$
Solution : Let the third proportional of $a$ and $\frac{b^4}{4 a}$ be $x$ So, $a : \frac{b^4}{4 a} :: \frac{b^4}{4 a} : x$ ⇒ $\frac{a}{\frac{b^4}{4 a}}=\frac{\frac{b^4}{4 a}}{x}$ ⇒ $x = \frac{\frac{b^4}{4 a}\times \frac{b^4}{4 a}}{a}$ ⇒ $x= \frac{b^8}{16 a^3}$ Hence, the correct answer is $\frac{b^8}{16 a^3}$.
Question : Which of the following amendments to the Indian Constitution made the right to property a legal right in place of a fundamental right?
Option 1: 40th
Option 2: 48th
Option 3: 44th
Option 4: 45th
Correct Answer: 44th
Solution : The correct answer is 44th.
The property right was made a legal right instead of a fundamental right by the 44th Constitutional Amendment Act in 1978. The property right becomes a simple legal right under Article 300a of the Constitution. The 44th Amendment Act
Question : Which of the following Articles mentions a Uniform Civil Code throughout the territory of India?
Option 1: Article 44
Option 2: Article 39
Option 3: Article 40
Option 4: Article 50
Correct Answer: Article 44
Solution : The correct answer is Article 44.
According to Article 44 of the Constitution, "the State shall endeavour to provide for its citizens a Uniform Civil Code (UCC) throughout the territory of India". The goal of Article 44 of the Indian Constitution's Directive Principles was
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