Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the odd group of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 13 – 159
Option 2: 9 – 71
Option 3: 5 – 31
Option 4: 17 – 279
Correct Answer: 5 – 31
Solution : Let's check the options – First option: 13 – 159→(13)2 = 169; 169 – 10 = 159 Second option: 9 – 71→(9)2 = 81; 81 – 10 = 71 Third option: 5 – 31→(5)2 = 25; 25 – 10 =
Question : If areas of similar triangles $\triangle {ABC}$ and $\triangle {DEF}$ are $ {x}^2 \ \text{cm}^2$ and $ {y}^2 \ \text{cm}^2$, respectively, and EF = a cm, then BC (in cm) is:
Option 1: $\frac{y^2}{a^2 x^2}$
Option 2: $\frac{y}{a x}$
Option 3: $\frac{ax}{y}$
Option 4: $\frac{a^2 x^2}{y^2}$
Correct Answer: $\frac{ax}{y}$
Solution : Given: $\triangle{ABC}\sim\triangle{DEF}$ $\frac{\text{Area of}\triangle{ABC}}{\text{Area of}\triangle{DEF}}=\frac{{BC}^2}{{EF}^2}$ ⇒ $\frac{ {x}^2 }{{y}^2 }=\frac{{BC}^2}{{a}^2}$ ⇒ $\frac{ {x}}{ {y}}=\frac{{BC}}{{a}}$ $\therefore {BC} = \frac{{ax}}{{y}}$ Hence, the correct answer is $\frac{{ax}}{{y}}$.
Question : Which of the following hills and their regions are correctly matched?
Option 1: Patkai Hills – Western Ghats
Option 2: Mizo Hills – Eastern Ghats
Option 3: Shevaroy Hills – Western Ghats
Option 4: Javadi Hills – Eastern Ghats
Correct Answer: Javadi Hills – Eastern Ghats
Solution : The correct answer is Javadi Hills – Eastern Ghats.
Javadi Hills are correctly matched with their region, which is the Eastern Ghats. The Patkai Hills are part of the Purvanchal mountain range, which is the Himalayas' eastern extension. The Purvanchal
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 6 and 4
Option 1: 3 × 9 – 4 ÷ 2 + 6 = 8
Option 2: 8 × 6 + 4 ÷ 2 – 5 = –5
Option 3: 8 – 3 × 6 + 4 ÷ 1 = 18
Option 4: 7 × 6 – 4 + 9 ÷ 3 = –7
Correct Answer: 7 × 6 – 4 + 9 ÷ 3 = –7
Solution : Given: × and +, 6 and 4
Let's check the given options – First option: 3 × 9 – 4 ÷ 2 + 6 = 8 On interchanging the signs and numbers, we get –
Question : What is the remainder when $\left(x^{17}+1\right)$ is divided by $(x+1)$?
Option 1: $x$
Option 2: $x - 1$
Option 3: $0$
Option 4: $1$
Correct Answer: $0$
Solution : $\left(x^{17}+1\right)$ is divided by $(x +1)$ $P(x) = \left(x^{17}+1\right)$ Divisor = $x + 1$ $\therefore$ remainder = $P(- 1) = (- 1)^{17}+ 1= - 1 + 1 = 0$ Hence, the correct answer is $0$.
Question : Lady Ratan Tata Trophy is related to which game ?
Option 1: Basketball
Option 2: Hockey
Option 3: KhoKho
Option 4: Cricket
Correct Answer: Hockey
Solution : The correct option is - Hockey.
ndia hosts a national hockey competition for women called the Lady Ratan Tata Trophy. It bears Ratan Tata's name, an industrialist, philanthropist, and former chairman of Tata Sons
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".
He has painted that picture so often that he can do it with his (eyes closed).
(1) arms full
(2) eyes opened
(3) mind blank
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option for no improvement is needed in this sentence. The phrase 'eyes closed' means 'being extremely expert in a work' which fits contextually.
Therefore, the correct statement is "He has painted that picture so often that he can do
Question : The mercury and sodium street lamps light up because of:
Option 1: Atomic emission
Option 2: Atomic absorption
Option 3: Electron emission
Option 4: Electron absorption
Correct Answer: Atomic emission
Solution : The correct option is atomic emission.
Light is produced by atomic emission in mercury and sodium street lights. When an electric current flows through the lamp's vaporised mercury or sodium, electrons in the atoms become excited and subsequently return to their ground state, releasing
Question : Select the grammatically correct statement from among the given options.
A. It is a nice party. I am enjoying the party. B. It is a party. I am enjoying an party. C. It is party. I am enjoying a party. D. It is the party. I am enjoying an party.
Option 1: D
Option 2: C
Option 3: B
Option 4: A
Correct Answer: A
Solution : The correct choice is the fourth option.
The correct sentence is: It is a nice party. I am enjoying the party.
The reason for this choice is that it uses proper articles and prepositions. The article "a" is an indefinite article, which is used before
Question : Select the most appropriate direct form of the given sentence.
She asked if anyone had found her brooch.
Option 1: She said, “Does anyone find my brooch?”
Option 2: She said, “Is any one finding her brooch?”
Option 3: She said, “Has anyone found my brooch?”
Option 4: She said, “If anyone has found her brooch?”
Correct Answer: She said, “Has anyone found my brooch?”
Solution : The third option is the correct choice.
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