Staff Selection Commission Combined Graduate Level Exam
Question : If the four numbers, 39, 117, 17, and y are in proportion, then find the value of $y$.
Option 1: 49
Option 2: 51
Option 3: 57
Option 4: 85
Correct Answer: 51
Solution : Given: The four numbers 39, 117, 17, and $y$ are in proportion. ⇒ $\frac{39}{117} = \frac{17}{y}$ ⇒ $y = \frac{117\times 17}{39} = 51$ Hence, the correct answer is 51.
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (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: 11 – 23
Option 2: 9 – 16
Option 3: 25 – 51
Option 4: 13 – 27
Correct Answer: 9 – 16
Solution : Let's check each option – First option: 11 – 23; 11 × 2 + 1 = 23 Second option: 9 – 16; 9 × 2 + 1 = 19 ≠ 16 Third option: 25 – 51; 25 × 2 + 1 = 51
Question : Leaving agriculture land uncultivated for some years known as:
Option 1: Intensive farming
Option 2: Fallowing
Option 3: Shifting cultivation
Option 4: Subsistence farming
Correct Answer: Fallowing
Solution : The correct answer is Fallowing.
Fallowing in agricultural system is the process of leaving a ploughed field uncultivated for a season or more. It helps the soil in regaining its fertility. During this period soil regains its lost nutrients, moisture and organic matter. It is
Question : If $\theta>0$ be an acute angle, then the value of $\theta$ in degrees satisfying $\frac{\cos^2\theta-3 \cos\theta+2}{\sin^2\theta}=1$ is:
Option 1: 90°
Option 2: 30°
Option 3: 45°
Option 4: 60°
Correct Answer: 60°
Solution : Given: $\frac{\cos^2\theta-3\cos\theta+2}{\sin^2\theta}=1$ ⇒ $\cos^2\theta-3\cos\theta+2=\sin^2\theta$ ⇒ $\cos^2\theta-2 \cos\theta+1-\cos\theta+1=\sin^2\theta$ ⇒ $(\cos\theta-1)^2-(\cos\theta-1)=1-\cos^2\theta$ ⇒ $(\cos\theta-1)(\cos\theta-1-1)=1-\cos^2\theta$ ⇒ $(\cos\theta-1)(\cos\theta-2)=-(\cos\theta-1)(1+\cos\theta)$ ⇒ $\cos\theta-2=-1-\cos\theta$ ⇒ $2\cos\theta=1$ ⇒ $\cos\theta=\frac{1}{2}$ ⇒ $\theta=60°$ Hence, the correct answer is 60°.
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. BXM, EUP, HRS, ?
Option 1: XZY
Option 2: RPN
Option 3: VTU
Option 4: KOV
Correct Answer: KOV
Solution : Given: BXM, EUP, HRS, ?
In the given series, add 3 to the place value of the first and third letters and subtract 3 from the place value of the second letter of the previous term to obtain the next term. BXM→B + 3 =
Question : In India, which of the following bills cannot be introduced in the Rajya Sabha?
Option 1: Both Constitutional Amendment and ordinary bills
Option 2: The Constitutional Amendment bill
Option 3: The money bill
Option 4: The ordinary bill
Correct Answer: The money bill
Solution : The correct answer is a Money bill.
Money bills can only be discussed in Lok Sabha with the President's prior approval. A money bill must be returned to the Lok Sabha within 14 days, or the law is assumed to have passed
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. The top band is made of saffron, which symbolises power and courage. B. The constituent assembly adopted our national flag, Tiranga, which means tricolour, on 22 July 1947. C. As a symbol of nationalism and freedom, it is fashioned from khadi, which is domestically spun Indian cotton. D. It features three horizontal stripes that are all the same width.
Option 1: CBAD
Option 2: CBDA
Option 3: BCDA
Option 4: BDCA
Correct Answer: BCDA
Solution : The correct choice is the third option.
The paragraph starts with sentence B, which says that the constituent assembly adopted our flag in 1947. Sentence C further continues this by telling us more about the flag, saying that it is fashioned from khadi, which
Question : The Second Five-Year Plan (1956-61) had a major goal of achieving which of the following targets?
Option 1: Self-reliant and self-generating economy
Option 2: Growth with stability
Option 3: Rapid industrialisation with focus on heavy industries
Option 4: Growth with social justice
Correct Answer: Rapid industrialisation with focus on heavy industries
Solution : The correct option is rapid industrialisation with a focus on heavy industries.
The Second Five-Year Plan of India, which spanned from 1956 to 1961, prioritised rapid industrialisation with a specific emphasis on heavy industries. The plan aimed to lay
Question : The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set__________.
Option 1: is 3 times that of the original set
Option 2: is increased by 3
Option 3: remains the same as that of the original set
Option 4: is decreased by 3
Correct Answer: remains the same as that of the original set
Solution : Median of set of $n$ observation = $[\frac{(n+1)}{2}]^{th}$ observation Even if the largest 5 observations are increased by 3, the 6th observation remains the same. Therefore, the median of the new set remains the same. Hence, the
Question : Directions: In a certain code language, PLAY is coded as RICV, and TREE is coded as VOGB. How will BOOK be coded in the same language?
Option 1: HLQD
Option 2: DQQH
Option 3: DLQH
Option 4: DLLH
Correct Answer: DLQH
Solution : Given: PLAY is coded as RICV and TREE is coded as VOGB.
Add 2 and subtract 3 from the place value of the alternate letters, to obtain the required code – P + 2 = R; L – 3 = I; A + 2 =
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