Staff Selection Commission Combined Graduate Level Exam
Question : Select the option that expresses the given sentence in direct speech.
I warned Rita not to be late the next day.
Option 1: I warned to Rita, “Don’t be late tomorrow”.
Option 2: I warning Rita, “Not be late tomorrow”.
Option 3: I warned Rita, “Not be late tomorrow”.
Option 4: I warned Rita, “Don’t be late tomorrow”.
Correct Answer: I warned Rita, “Don’t be late tomorrow”.
Solution : The correct choice is the fourth option.
Narration Conversion:
Question : If $a^{2}=by+cz$, $b^{2}=cz+ax$, $c^{2}=ax+by$, then the value of $\frac{x}{a+x}+\frac{y}{b+y}+\frac{z}{c+z}$ is:
Option 1: $1$
Option 2: $a+b+c$
Option 3: $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}$
Option 4: $0$
Correct Answer: $1$
Solution : Given: $a^{2}=by+cz$ $b^{2}=cz+ax$ $c^{2}=ax+by$ Then, value of $\frac{x}{a\:+\:x}+\frac{y}{b\:+\:y}+\frac{z}{c\:+\:z}$ $= \frac{a\:×\:x}{a\:×\:(a\:+\:x)}+\frac{b\:×\:y}{b\:×\:(b\:+\:y)}+\frac{c\:×\:z}{c\:×\:(c\:+\:z)}$ $= \frac{ax}{(a^{2}\:+\:ax)}+\frac{by}{(b^{2}\:+\:by)}+\frac{cz}{(c^{2}\:+\:cz)}$ Substituting the value of $a^{2}, b^{2}, c^{2}$ in this expression, ⇒ $\frac{ax}{(by\:+\:cz\:+\:ax)}+\frac{by}{(cz\:+\:ax\:+\:by)}+\frac{cz}{(ax\:+\:by\:+\:cz)}$ Taking LCM of denominators, we have: ⇒ $\frac{ax\:+\:by\:+\:cz}{(ax\:+\:by\:+\:cz)} = 1$ Hence, the correct answer is 1.
Question : The poverty ratio has declined to ______ in 2011-12 in rural India.
Option 1: 20.9 per cent
Option 2: 30.9 per cent
Option 3: 25.9 per cent
Option 4: 35.9 per cent
Correct Answer: 30.9 per cent
Solution : The correct option is 30.9 per cent.
In rural India, the poverty ratio decreased from 35.1% to 26.4% in 2011–12 and from 39.6% in 2009–10 to 30.9% in urban India. For the two years, the drop was consistent at 8.7 percentage points.
Question : In a railway track, two rails are joined end to end with a gap in between them because:
Option 1: steel can be saved
Option 2: accidents due to contraction in winter can be avoided
Option 3: air - gaps are necessary for bearing the weight of running train
Option 4: accidents due to expansion in summer can be avoided
Correct Answer: accidents due to expansion in summer can be avoided
Solution : The correct option is accidents due to expansion in summer can be avoided.
Metal, including steel, expands and contracts with temperature changes. Leaving a small gap between the rails allows them to expand in hot weather and
Question : $\text { If } x^2+y^2+z^2=x y+y z+z x \text { and } x=1 \text {, then find the value of } \frac{10 x^4+5 y^4+7 z^4}{13 x^2 y^2+6 y^2 z^2+3 z^2 x^2}$.
Option 1: 2
Option 2: 0
Option 3: –1
Option 4: 1
Correct Answer: 1
Solution : $x^2+y^2+z^2=x y+y z+z x$ $⇒\frac{1}{2}[(x-y)^2+(y-z)^2+(z-x)^2] = 0$ $⇒ x= y, y=z,$ and $z=x$ As $x =1$, so $y=z=1$ So, $\frac{10 x^4+5 y^4+7 z^4}{13 x^2 y^2+6 y^2 z^2+3 z^2 x^2}$ $= \frac{10(1)^4+5(1)^4+7(1)^4}{13(1)^2(1)^2+6(1)^2(1)^2+3(1)^2(1)^2}$ $=\frac{22}{22}$ $=1$ Hence, the correct answer is 1.
Question : Select the misspelt word.
Option 1: Release
Option 2: Arrivel
Option 3: Plight
Option 4: Obscure
Correct Answer: Arrivel
Solution : The correct choice is the second option.
The misspelt word is arrivel, and the correct spelling is arrival. The misspelt spelling contains the letter "e" in place of a "a". Arrival means the act of someone or something that reaches a place.
Question : The value of $\frac{\left(\cos 9^{\circ}+\sin 81^{\circ}\right)\left(\sec 9^{\circ}+{\operatorname{cosec}} \;81^{\circ}\right)}{{\operatorname{cosec}}^2 \;71^{\circ}+\cos ^2 15^{\circ}-\tan ^2 19^{\circ}+\cos ^2 75^{\circ}} $ is:
Option 1: 1
Option 2: 4
Option 3: 5
Option 4: 2
Correct Answer: 2
Solution : Given: $\frac{\left(\cos 9^{\circ}+\sin 81^{\circ}\right)\left(\sec 9^{\circ}+{\operatorname{cosec}} \;81^{\circ}\right)}{{\operatorname{cosec}}^2 \;71^{\circ}+\cos ^2 15^{\circ}-\tan ^2 19^{\circ}+\cos ^2 75^{\circ}} $ $= \frac{\left(\cos 9^{\circ}+\sin (90^\circ - 9^{\circ})\right)\left(\sec 9^{\circ}+\operatorname{cosec}(90^\circ - 9^{\circ})\right)}{{\operatorname{cosec}}^2 \;(90^\circ- 19^{\circ})+\cos ^2 15^{\circ}-\tan ^2 19^{\circ}+\cos ^2 (90^\circ - 75^{\circ})} $ $= \frac{\left(\cos 9^{\circ}+\cos 9^{\circ}\right)\left(\sec 9^{\circ}+\sec 9^{\circ}\right)}{\sec^2 19^{\circ}+\cos ^2 15^{\circ}-\tan ^2 19^{\circ}+\sin
Question : Comprehension:
Read the following passage and answer the questions given after it.
Notwithstanding logistical challenges posed by the COVID-19 pandemic, India continues to expand its rice export footprint in the African, Asian, and European Union markets, thus having the largest share in the global rice trade. The robust global demand also helped India’s growth in rice exports.
In 2020-21, India’s rice exports (Basmati and Non-Basmati) rose by a huge 87 per cent to 17.72 Million tonnes (MT) from 9.49 MT achieved in 2019-20.
In terms of value realisation, India’s rice exports rose by 38 per cent to USD 8815 million in 2020-21 from USD 6397 million reported in 2019-20. In terms of Rupees, India’s rice export grew by 44 per cent to Rs 65298 crore in 2020-21 from Rs 45379 crore in the previous year. In the first seven months of the current financial year (2021-22), India’s rice exports rose by more than 33 per cent to 11.79 MT from 8.91 MT achieved during April-October, 2020-21. It is anticipated that India’s rice exports in 2021-22 will likely surpass the record feet of 17.72 MT achieved in 2020-21.
In 2020-21, India shipped non-basmati rice to nine countries - Timor-Leste, Puerto Rico, Brazil, Papua New Guinea, Zimbabwe, Burundi, Eswatini, Myanmar, and Nicaragua, where exports were carried out for the first time or earlier the shipment was smaller in volume.
India’s Non-Basmati rice exports were valued at USD 4796 million (Rs 35448 crore) in 2020-21, with Basmati Rice exports a close second at USD 4018 million (Rs 29,849 crore).In terms of volume of Basmati rice exports in 2020-21, the top ten countries – Saudi Arabia, Iran, Iraq, Yemen, United Arab Emirates, United States of America, Kuwait, United Kingdom, Qatar, and Oman have a share of close to 80 per cent in total shipments of aromatic long-grained rice from India.
Top ten countries – Nepal, Benin, Bangladesh, Senegal, Togo, Cote D Ivoire, Guinea, Malaysia, Iraq, United Arab Emirates – have a share of 57 per cent in India’s total exports of non-Basmati rice in 2020-21 in terms of volume.
Which of the following countries imports Basmati rice from India?
Option 1: Malaysia
Option 2: Nepal
Option 3: Bangladesh
Option 4: Kuwait
Correct Answer: Kuwait
The penultimate passage of the paragraph lists the top ten countries that export basmati rice from India, in which only Kuwait is present among the given options, making it the correct choice for the asked question.
Question : Which is the only country whose postage stamps do not bear its name ?
Option 1: U.S.A.
Option 2: U.K.
Option 3: Japan
Option 4: Pakistan
Correct Answer: U.K.
Solution : The Correct Answer is U.K.
The monarch's image designates the United Kingdom as the country of origin, making the United Kingdom the only nation in the world without its name appearing on postage stamps. Most nations also dispense exit stamps along with entry stamps. Several
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
I would request to you (1) / to consider my application (2) / and grant me a job as early as possible. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
"Request to you" is not the appropriate way to phrase a request. Instead, we can say I would like to request, or simply I request, followed by the action or favour the speaker is requesting.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
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The Question is not relevant to User
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