Staff Selection Commission Combined Graduate Level Exam
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown below. Choose the figure that would most closely resemble the unfolded form of the paper.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : The area of a triangle is 96 cm2 and the ratio of its sides is 6 : 8 : 10. What is the perimeter of the triangle?
Option 1: 48 cm
Option 2: 56 cm
Option 3: 64 cm
Option 4: 44 cm
Correct Answer: 48 cm
Solution : Given: The ratio of the length of sides is 6 : 8: 10 and the area of the triangle is 96 cm2. Let the sides be $6x$ cm, $8x$ and $10x$ cm. By heron's formula, Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$ where, $s=\frac{a+b+c}{2}$
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (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.) (8, 44, 3) (12, 60, 3)
Option 1: (12, 68, 5)
Option 2: (8, 50, 2)
Option 3: (17, 56, 9)
Option 4: (23, 98, 5)
Correct Answer: (12, 68, 5)
Solution : Given: (8, 44, 3); (12, 60, 3)
In the given set of numbers, multiply the sum of the first and third numbers by 4 to get the second number. (8, 44, 3)→8 + 3 = 11; 11 × 4 = 44 (12, 60,
Question : Direction: In the following question, select the one which is different from other three alternatives.
Option 1: 104 : 78
Option 2: 96 : 80
Option 3: 64 : 48
Option 4: 80 : 60
Correct Answer: 96 : 80
Solution : Let's check the options —
First option: 104 : 78; The highest common factor is 26. Dividing both numbers by 26 gives the ratio 4 : 3
Second option: 96 : 80; The highest common factor is 16. Dividing both numbers by 16
Question : The expression $(\tan \theta+\cot \theta)(\sec \theta+\tan \theta)(1-\sin \theta), 0^{\circ}<\theta<90^{\circ}$, is equal to:
Option 1: $\sec \theta$
Option 2: $\operatorname{cosec} \theta$
Option 3: $\cot \theta$
Option 4: $\sin \theta$
Correct Answer: $\operatorname{cosec} \theta$
Solution : Using the trigonometric identities $\tan \theta = \frac{\sin \theta}{\cos \theta}$, $\cot \theta = \frac{\cos \theta}{\sin \theta}$, $\sec \theta = \frac{1}{\cos \theta}$, and $1 - \sin^2 \theta = \cos^2 \theta$. Substituting these identities into the expression, $=(\frac{\sin \theta}{\cos \theta} + \frac{\cos \theta}{\sin \theta})(\frac{1}{\cos \theta} +
Question : In the 15th century, a text called _______ was described popularly by Lochan Kavi.
Option 1: Hriday Prakash
Option 2: Sangeet Darpan
Option 3: Anup Vilas
Option 4: Raga Tarangini
Correct Answer: Raga Tarangini
Solution : The correct option is Raga Tarangini.
Raga Tarangini is a Hindustani classical music manuscript attributed to Lochan Kavi from the 15th century. It is regarded as a crucial work in the development of Hindustani classical music and is one of the oldest known
Question : Who was the Mughal emperor during the third battle of Panipat?
Option 1: Akbar II
Option 2: Shah Alam II
Option 3: Bahadur Shah I
Option 4: Bahadur Shah Zafar
Correct Answer: Shah Alam II
Solution : The correct answer is Shah Alam II.
The Marathas and Ahmad Shah Abdali engaged in combat in the Third Battle of Panipat in 1761 CE. Shah Alam II, the sixteenth Mughal Emperor, fought in it while in power. Ali Gauhar was another name
Question : Comprehension:
Read the following passage and answer the questions given after it.
From January 28 to February 4, 2023, a Chinese-operated, large white high-altitude balloon was seen in North American airspace, including Alaska, western Canada, and the contiguous United States. The American and Canadian militaries asserted that the balloon was for surveillance, while the Chinese government maintained it was a civilian meteorological research airship that had been blown off course. Analysts said that the balloon's flight path and structural characteristics made it dissimilar from those which have typically been used for meteorological research. The U.S. Department of State said that the balloon was capable of locating electronic communication devices, including mobile phones and radios, and that
American U-2 reconnaissance aircraft deployed to track the balloon in the air revealed that the balloon carried antennas and other equipment "clearly for intelligence surveillance and inconsistent with the equipment on board weather balloons." The State Department said that the spy balloon was part of a global Chinese military-directed surveillance effort in which Chinese spy balloons have flown over more than 40 nations in five continents.
On February 4, the U.S. Air Force shot down the balloon over U.S. territorial waters off the coast of South Carolina, on the order of U.S. President Joe Biden. Debris from the wreckage was recovered and sent to the FBI Laboratory in Quantico, Virginia, for analysis.
The incident increased U.S.-China tensions. The incident prompted U.S. Secretary of State Antony Blinken to delay a diplomatic visit to Beijing, which was set to be his first since 2018. It also further strained Canada-China relations, as Canada summoned the Chinese ambassador because of the violation of Canadian airspace. On February 3, the U.S. Department of Defense announced that a second Chinese balloon was passing over Latin America, which China also said belonged to it. On February 10, the Air Force shot down another aerial object over U.S. territory at the order of President Biden.
Question:
The word 'contiguous' means
Option 1: adjoining
Option 2: far off
Option 3: spreading
Option 4: separated
Correct Answer: adjoining
Solution : The correct choice is the first option.
Explanation:
The word "contiguous" refers to things that are in close proximity or share a common boundary. It indicates items or areas that are adjacent or touching each other without a gap. In the context of the
Question : Select the option that can be used as a one-word substitute for the given group of words. The scientific study of plants and their structure
Option 1: Plantation
Option 2: Environment
Option 3: Biology
Option 4: Botany
Correct Answer: Botany
Solution : The correct choice is the fourth option.
Botany is the branch of biology that specifically deals with the scientific study of plants, including their structure, growth, reproduction, metabolism, development, and diseases. It is the most precise and accurate term to represent the given concept.
The
Question : If $a$ and $b$ are rational numbers and $(a-1)\sqrt2+3=b\sqrt2+a$; then the value of $(a+b)$ is:
Option 1: $–5$
Option 2: $3$
Option 3: $–3$
Option 4: $5$
Correct Answer: $5$
Solution : Given: $(a-1)\sqrt2+3=b\sqrt2+a$ In comparison, we get the values of $a=3$ and $(a-1)=b$, respectively. Substitute the value of $a=3$ in equation $(a-1)=b$, we get, $(3-1)=b$ ⇒ $b=2$ So, the value of $(a+b)$ is $(3+2)=5$ Hence, the correct answer is 5.
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