Staff Selection Commission Combined Graduate Level Exam
Question : If $M =\left ( \frac{3}{7} \right ) ÷ \left ( \frac{6}{5} \right ) ×\left ( \frac{2}{3} \right ) + \left ( \frac{1}{5} \right ) ×\left ( \frac{3}{2} \right )$ and $N = \left ( \frac{2}{5} \right ) × \left ( \frac{5}{6} \right ) ÷ \left ( \frac{1}{3} \right ) + \left ( \frac{3}{5} \right ) × \left ( \frac{2}{3} \right ) ÷ \left ( \frac{3}{5} \right )$, then what is the value of $\frac{M}{N}$?
Option 1: $\frac{207}{560}$
Option 2: $\frac{339}{1120}$
Option 3: $\frac{113}{350}$
Option 4: $\frac{69}{175}$
Correct Answer: $\frac{113}{350}$
Solution : $M =\left (\frac{3}{7}\right) ÷ \left (\frac{6}{5} \right) ×\left (\frac{2}{3} \right) + \left (\frac{1}{5} \right) ×\left (\frac{3}{2}\right)$ $M =\left (\frac{3}{7} \right) × \left (\frac{5}{6} \right) ×\left (\frac{2}{3} \right) + \left (\frac{1}{5} \right) ×\left (\frac{3}{2} \right)$ $M = \frac{5}{21}+\frac{3}{10}$ $M = \frac{113}{210}$ $N = \left (\frac{2}{5} \right)
Question : Which of the following is not correct about the jurisdiction of the high court?
Option 1: It controls the subordinate courts within its jurisdiction.
Option 2: It has the power of judicial review.
Option 3: It provides an advisory opinion to the President of India.
Option 4: It has writ jurisdiction.
Correct Answer: It provides an advisory opinion to the President of India.
Solution : The correct option is It provide an advisory opinion to the President of India.
High courts in India do not provide advisory opinions to the President of India. The primary function of the high courts
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Can we see (1)________ the earth is a globe? Yes, we can, when we watch a ship that sails out to sea, if we watch closely, we see that the ship begins to (2)________. The bottom of the ship disappears first, and then the ship seems to sink lower and lower, (3)________ we can only see the top of the ship, and then we see nothing at all. What is hiding the ship from us? It is the earth. Stick a pin most of the way into an orange, and (4)________ turn the orange away from you. You will see the pin disappear, (5)________ a ship does on the earth.
Select the most appropriate option to fill in blank no. 5.
Option 1: the same
Option 2: alike
Option 3: unlike
Option 4: just as
Correct Answer: just as
Solution : The most appropriate choice is the fourth option.
This statement relates to the one before it, in which the disappearance of the pin in an orange is discussed. The comparison between the two statements is made, and the best words to do so are
Question : Study the given pie chart and answer the question that follows. The total population of these six villages is 100%.
The population of village D in 2020 was 10,500. What was the population of Village A in 2020?
Option 1: 15,570
Option 2: 15,750
Option 3: 17,550
Option 4: 7,875
Correct Answer: 15,750
Solution : As per the given chart, The population of village D in 2020 was 10,500. The value of 8% = 10,500 The population of the village A in 2020 was 12% of the total population. The population of the village A in 2020 = $\frac{12}{8}$ ×
Question : Khilafat Movement was connected with which of the following?
Option 1: Turkey
Option 2: Egypt
Option 3: Saudi Arabia
Option 4: Iran
Correct Answer: Turkey
Solution : The correct answer is Turkey.
The Khilafat movement started in 1919 by Shaukat Ali and Maulana Mohammad Ali Jauhar against British Rule. Mahatma Gandhi also supported this movement. After World War I, the Ottoman Empire of Turkey was shattered and Khalifa was removed from power.
Question : Which Article of the Constitution of India lays down that an Indian citizen has the right to use any restaurant, road or public place?
Option 1: Article 17(1)
Option 2: Article 15(2)
Option 3: Article 14(2)
Option 4: Article 16(1)
Correct Answer: Article 15(2)
Solution : The correct answer is Article 15 (2).
Prohibition of discrimination based on caste, religion, sex, or place of birth is outlined in Article 15. The state is prohibited from treating any citizen unfairly based only on their place of birth, race, caste, religion,
Question : ABCD is a cyclic quadrilateral. Sides AB and DC, when produced, meet at E and sides AD and BC, meet at F. If $\angle $ADC = 76$^\circ$ and $\angle$AED = 55$^\circ$, then $\angle$AFB is equal to:
Option 1: $34^\circ$
Option 2: $26^\circ$
Option 3: $29^\circ$
Option 4: $27^\circ$
Correct Answer: $27^\circ$
Solution :
We know that the sum of all the sides of the triangle is $180^\circ $. In $\triangle DAE$, $⇒ \angle ADC + \angle AED + \angle DAE = 180^\circ$ $⇒ 76^\circ+ 55^\circ+ \angle DAE = 180^\circ$ $⇒ 131^\circ+ \angle DAE = 180^\circ$ $⇒ \angle DAE
Question : The value of the expression $\left (1+\sec22^{\circ} +\cot68^{\circ} \right )\left (1-cosec\;22 ^{\circ} +\tan68^{\circ} \right )$ is:
Option 1: 0
Option 2: 1
Option 3: –1
Option 4: 2
Correct Answer: 2
Solution : Given, $\left (1+\sec22^{\circ} +\cot68^{\circ} \right)\left (1-cosec\;22 ^{\circ} +\tan68^{\circ} \right )$ ⇒ $\left (1+\sec22^{\circ} +\tan22^{\circ} \right)\left (1-cosec\;22 ^{\circ} +\cot22^{\circ} \right)$ ⇒ $\frac{(\cos22^{\circ}+1 +\sin22^{\circ})}{\cos22^{\circ}}\times \frac{(\sin22^{\circ}-1 +\cos22^{\circ})}{\sin22^{\circ}}$ ⇒ $\frac{((\cos22^{\circ}+\sin22^{\circ})^{2}-1}{\cos22^{\circ}\sin22^{\circ}}$ ⇒ $\frac{(\cos22^{\circ})^{2}+(\sin22^{\circ})^{2}+2\cos22^{\circ}\sin22^{\circ}-1}{\cos22^{\circ}\sin22^{\circ}}$ Since, $(\cos22^{\circ})^{2}+(\sin22^{\circ})^{2}=1$, $\left (1+\sec22^{\circ} +\cot68^{\circ} \right )\left (1-cosec\;22 ^{\circ} +\tan68^{\circ} \right )=\frac{2\cos22^{\circ}\sin22^{\circ}}{\cos22^{\circ}\sin22^{\circ}} = 2$. Hence, the correct
Question : The speaker of the Lok Sabha has to address his/her letter of resignation to
Option 1: Prime Minister of India
Option 2: President of India
Option 3: Deputy Speaker of Lok Sabha
Option 4: Minister of Parliamentary Affairs
Correct Answer: Deputy Speaker of Lok Sabha
Solution : The correct answer is Deputy Speaker of Lok Sabha
Articles 93-96 of the Indian Constitution deal with the powers and functions of the Speaker and Deputy Speaker of the Lok Sabha. As per the convention, the Speaker of Lok Sabha is
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
Supporters of the 'leading power' doctrine often argue, rightly, that India must be more forthright and articulate in expression its position on issues.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
Explanation: This alternative uses the gerund form of the verb "express", which is appropriate when indicating the action of expressing something. In this context, "expressing" conveys the ongoing or continuous nature of the expression of India's position
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