Staff Selection Commission Combined Graduate Level Exam
Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=50^{\circ}$, BE and CF are perpendiculars on AC and AB at E and F, respectively. BE and CF intersect at H. The bisectors of $\angle \mathrm{HBC}$ and $\angle H C B$ intersect at P. $\angle B P C$ is equal to:
Option 1: $155^\circ$
Option 2: $100^\circ$
Option 3: $115^\circ$
Option 4: $120^\circ$
Correct Answer: $155^\circ$
Solution : Since H is the orthocentre, $\angle BHC = 180^\circ - 50^\circ = 130^\circ$ Now, P is the incentre of $\triangle BHC$ $\angle BPC = 90^\circ +\frac{1}{2}\angle BHC= 90^\circ +\frac{130^\circ}{2}= 90^\circ +65^\circ= 155^\circ$ Hence, the correct answer is $155^\circ$.
Question : Narthaki Nataraj, Padma Shri awardee in 2019, was conferred this award for which the following contributions?
Option 1: Popularizing Indian cuisine in the world
Option 2: Specialising in the Indian knowledge system, Nyay shastra.
Option 3: Bringing women empowerment through agriculture
Option 4: Overcoming social exclusion through Bharatanatyam dance performances
Correct Answer: Overcoming social exclusion through Bharatanatyam dance performances
Solution : The correct option is Overcoming social exclusion through Bharatanatyam dance performances.
Narthaki Nataraj, the recipient of the Padma Shri award in 2019, was honoured for her exceptional contributions to the field of Bharatanatyam, a classical Indian dance form.
Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select 'No Improvement'.
The scientists are busy to explore new ideas.
Option 1: exploring
Option 2: No improvement
Option 3: for exploring
Option 4: to be exploring
Correct Answer: exploring
Solution : The first option is correct.
The gerund form (-ing form) of the verb should be used to indicate an ongoing or continuous action. In this case, "exploring" is the gerund form of the verb "explore" which correctly conveys the continuous action of the scientists engaging
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All Cadbury are Nestle. No Nestle is Amul. Some Cadbury are Britannia. Conclusions: I. Some Nestle are Britannia. II. No Amul is Cadbury. III. No Amul is Britannia.
Option 1: Only conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Only conclusions I and III follow
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some Nestle are Britannia – From the Venn diagram, it is evident that the circles representing Nestle and Britannia overlap
Question : The ash-grey soils of high-latitude coniferous forests a known as :
Option 1: Tundra soils
Option 2: Podsols
Option 3: Grey-Brown soils
Option 4: Red and Yellow soils
Correct Answer: Podsols
Solution : The correct answer is Podsols.
Podsols is an infertile soil. It is acidic in nature and is found in coniferous and boreal forest. It is of ash grey colour and lacks most of the important plant nutrients because of leaching. Although it is rich in
Question : The first stable product of photosynthesis is
Option 1: Starch
Option 2: Sucrose
Option 3: Phosphoglyceric acid
Option 4: Glucose
Correct Answer: Phosphoglyceric acid
Solution : The correct option is Phosphoglyceric acid.
Photosynthesis's first stable product is "3-phosphoglycerate (3-PGA)" or "phosphoglyceric acid." This three-carbon chemical is created during the first stage of photosynthesis, known as the "Calvin cycle" or "light-independent reactions." It is an important step in the conversion of
Question : If $6x^{2}-12x+1=0$, then the value of $27x^{3}+\frac{1}{8x^{3}}$ is:
Option 1: 162
Option 2: 189
Option 3: 207
Option 4: 225
Correct Answer: 189
Solution : Given: $6x^{^2}-12x+1=0$ Dividing by $2x$, we get $3x+\frac{1}{2x}=6$ Cubing both sides, $\left (3x \right)^{3}+\left (\frac{1}{2x} \right )^{3}+3\left (3x \right)\left (\frac{1}{2x}\right )\left (3x+\frac{1}{2x} \right )=6^{3}$ ⇒ $27x^{3}+\frac{1}{8x^{3}}+3\left (3\right )\left (\frac{1}{2} \right )\left (6\right )=6^{3}$ ⇒ $27x^{3}+\frac{1}{8x^{3}}=6^{3}-3\left (3\right)\left (\frac{1}{2}\right)\left (6\right)=189$ Hence, the correct answer is 189.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. According to the information provided, if the mirror is placed on the right side of the figure (on line PQ), the right of the reflected image will appear as the left, and
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word) Carpenter : Hammer
Option 1: Fisherman : Net
Option 2: Butcher : Meat
Option 3: Mechanic : Car
Option 4: Nurse : Patient
Correct Answer: Fisherman : Net
Solution : Given: Carpenter : Hammer (This depicts the relation between the person/professional and the tool used by them.)
First option: Fisherman : Net; A net is a tool that is used by fishermen. Second option: Butcher : Meat; Butchers sell meat but meat is
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. He later tried to franchise his restaurant. B. Colonel Harland Sanders' real-life story of being disappointed numerous times in his life and still making his ambition come true late in life is truly motivating. C. He began selling chicken at the age of 40, but his dream of opening a restaurant was repeatedly denied owing to conflicts and wars. D. He is a seventh-grade dropout who tried many things in life but found them bitter.
Option 1: BCDA
Option 2: BDCA
Option 3: BDAC
Option 4: BACD
Correct Answer: BDCA
Solution : The correct choice is the second option, i.e., BDCA.
The paragraph starts with sentence B, which talks about the motivating story of how Colonel Sanders was disappointed numerous times but still made his ambition come true. Sentence B talks more about him, as
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