Staff Selection Commission Combined Graduate Level Exam
Question : Ringworm is a ........ disease.
Option 1: Bacterial
Option 2: Protozoan
Option 3: Viral
Option 4: Fungal
Correct Answer: Fungal
Solution : The correct option is Fungal.
Ringworm is a fungal infection. Despite its name, it is caused by fungus that can infect the skin, hair, or nails, rather than worms. Ringworm is also known as dermatophytosis, and it is caused by fungus such as Trichophyton, Microsporum,
Question : Select the most appropriate ANTONYM of the given word. Hazard
Option 1: Peril
Option 2: Jeopardy
Option 3: Protection
Option 4: Danger
Correct Answer: Protection
Solution : The correct choice is the third option.
Explanation: Hazard refers to something that poses a threat or danger, while protection refers to measures taken to prevent or shield against that danger.
The meanings of the other options are as follows:
Question : The amount of Rs. 10,000 after 2 years, compounded annually with the rate of interest being 10% per annum during the first year and 12% per annum during the second year, would be (in rupees):
Option 1: 11,320
Option 2: 12,000
Option 3: 12,320
Option 4: 12,500
Correct Answer: 12,320
Solution : Present value (P) = Rs. 10,000 Interest rate for 1st year, $r_1$ = 10% per annum Interest rate for 2nd year, $r_2$ = 12% per annum Time = 2 years Amount(A) = P × (1 + $\frac{r_1}{100}$) × (1 + $\frac{r_2}{100}$) = 10000 × (1
Question : $\frac{(1+\tan \theta+\sec \theta)(1+\cot \theta-\operatorname{cosec} \theta)}{(\sec \theta+\tan \theta)(1-\sin \theta)}$ is equal to:
Option 1: $2 \sec \theta$
Option 2: $2 \operatorname{cosec} \theta$
Option 3: $\operatorname{cosec} \theta$
Option 4: $\sec \theta$
Correct Answer: $2 \sec \theta$
Solution : $\frac{(1+\tan \theta+\sec \theta)(1+\cot \theta-\operatorname{cosec} \theta)}{(\sec \theta+\tan \theta)(1-\sin \theta)}$ $=\frac{(1+\frac{\sin \theta}{\cos \theta}+\frac{1}{\cos \theta})(1+\frac {\cos \theta}{\sin \theta}-\frac {1}{\sin \theta})}{(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta})(1-\sin \theta)}$ $=\frac{(\frac{\cos \theta+\sin \theta+1}{\cos \theta})(\frac {\sin \theta+\cos \theta-1}{\sin \theta})}{(\frac{1+\sin \theta}{\cos \theta})(1-\sin \theta)}$ $=\frac{(\cos \theta+\sin \theta+1)(\sin \theta+\cos \theta-1)}{\sin \theta(1-\sin \theta)}$ $=\frac{(\cos \theta+\sin \theta)^2-1}{\sin \theta\cos^2
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Subtract 2. Submerge 3. Subside 4. Submit 5. Subscribe 6. Subtle
Option 1: 245361
Option 2: 423561
Option 3: 425361
Option 4: 243561
Correct Answer: 245361
Solution : Given: 1. Subtract 2. Submerge 3. Subside 4. Submit 5. Subscribe 6. Subtle
Step 1: The first three letters of each word are same – s, u, b, so move to the next letter. Step 2: The fourth letter of each word is – t,
Question : Directions: Select a suitable figure from the answer figures that would replace the question mark (?).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. The diamond-shaped figure and the circles inside and outside rotate by 90° in the anti-clockwise direction. 2. The number of circles around the diamond-shaped figure inside each box decreases by 1. So, following the above pattern, the required figure
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 olive tree grows slowly yet lives a long time. B. The normal lifespan of an olive tree is 300-400 years, but olive trees as ancient as 3000 years have been discovered. C. The olive is a well-known Mediterranean-native evergreen tree whose fruit and oil are used in cuisine and cooking. D. As a result, the olive tree is known as the 'immortal tree' in mythology and botany.
Option 1: CDAB
Option 2: CABD
Option 3: DBCA
Option 4: ABCD
Correct Answer: CABD
Solution : The correct answer is the second option.
Sentence (C) introduces the olive tree and its significance in Mediterranean cuisine. The sentence (A) provides information about the growth and lifespan of the olive tree. Sentence (B) discusses the typical lifespan of an olive tree and highlights
Question : If $x+\frac{1}{x}=2 \cos \theta$, then $x^3+\frac{1}{x^3}=?$
Option 1: $2 \cos 2θ$
Option 2: $\cos 3θ$
Option 3: $2 \cos 3θ$
Option 4: $\cos 2θ$
Correct Answer: $2 \cos 3θ$
Solution : Given: $x+\frac{1}{x}=2 \cos \theta$. Cubing both sides, we get: $⇒\left(x^3+\frac{1}{x^3}\right) + 3\left(x+\frac{1}{x}\right) = 8\cos^3 \theta$ Putting the values, we get: $⇒x^3+\frac{1}{x^3} = 8\cos^3 \theta- 3(2 \cos \theta)$ $⇒x^3+\frac{1}{x^3}= 8\cos^3 \theta- 6 \cos \theta$ $⇒x^3+\frac{1}{x^3}=2(4\cos^3 \theta- 3 \cos \theta)$ $⇒x^3+\frac{1}{x^3}=2 \cos 3 \theta$ Hence,
Question : If $\cot A=\frac{12}{5}$, then the value of $(\sin A+\cos A) \times \operatorname{cosec} A$ is_____.
Option 1: $\frac{13}{5}$
Option 2: $\frac{17}{5}$
Option 3: $\frac{14}{5}$
Option 4: 1
Correct Answer: $\frac{17}{5}$
Solution : Given: $\cot A=\frac{12}{5}$ Now, $(\sin A+\cos A)×\operatorname{cosec}A$ $= (\sin A×\operatorname{cosec}A)+(\cos A×\operatorname{cosec}A)$ $= 1+\cot A$ $= (1+\frac{12}{5})$ $= \frac{17}{5}$ Hence, the correct answer is $\frac{17}{5}$.
Question : If $l+m+n=9$ and $l^{2}+m^{2}+n^{2}=31$, then the value of $(lm+mn+nl )$ will be:
Option 1: 22
Option 2: 50
Option 3: 25
Option 4: –25
Correct Answer: 25
Solution : Given: $l^{2}+m^{2}+n^{2}=31$ And $l+m+n=9$ Squaring both sides, $(l+m+n)^2=81$ ⇒ $l^2+m^2+n^2+2(lm+mn+nl)= 81$ ⇒ $31+2(lm+mn+nl) = 81$ ⇒ $2(lm+mn+nl) = 81 – 31 = 50$ Thus, $(lm+mn+nl)=\frac{50}{2}=25$ Hence, the correct answer is 25.
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