Staff Selection Commission Combined Graduate Level Exam
Question : PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?
Option 1: $8-4\sqrt2$
Option 2: $16+8\sqrt2$
Option 3: $16\sqrt2-16$
Option 4: $16-8\sqrt2$
Correct Answer: $16\sqrt2-16$
Solution : Given: PQRS is a square whose side is 16 cm. Let ER = RD = $a$ cm So, the sides of the octagon ED = CD = (16 – 2a) cm From $\triangle$ERD, $(16-2a)^2=a^2+a^2$ ⇒ $256-64a+4a^2=2a^2$ ⇒ $2a^2-64a+256=0$ ⇒ $a^2-32a+128=0$ Solving this we get, ⇒
Question : The following bar chart represents the gross amount (in INR crores) and total cost (in INR crores) of a firm. To make a profit of 25%, what should the gross amount have been (in INR crores) in 2019-2020, if the total cost remained the same?
Option 1: 7800
Option 2: 8000
Option 3: 8250
Option 4: 8125
Correct Answer: 8125
Solution : As per the given graph: The gross amount has been in 2019-2020 = 6500 × $\frac{125}{100}$ = 8125 Hence, the correct answer is 8125.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Both the teams played the game fairly.
(1) No Improvement
(2) played a fair game.
(3) played fairly the game.
(4) fairly played the game.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct improvement for the sentence is: played a fair game.
Explanation: This option is the correct improvement because it rephrases the sentence to convey the idea that both teams played the game fairly. It maintains clarity and conciseness while emphasizing the fairness of the
Question : Rajdhani Express train of length 108 m is running at the speed of 128 km/h. Another train of length 148 m is standing at the station. At what time will the Rajdhani Express cross the other train?
Option 1: 8 seconds
Option 2: 7.5 seconds
Option 3: 9 seconds
Option 4: 7.2 seconds
Correct Answer: 7.2 seconds
Solution : Total relative distance for rain to cover = 108 + 148 = 256 m Speed of the train = 128 km/h = $\frac{320}{9}$ m/s $\therefore$ Time taken = $\frac{\text{Distance}}{\text{Speed}}$ Or, time taken = $\frac{256}{\frac{320}{9}}$ = 7.2 sec Hence, the correct answer is 7.2 seconds.
Question : In 1808, whose work provided a physical picture of how compounds are formed by the combination of two or more different types of atoms?
Option 1: George Zweig
Option 2: Joseph John Thomson
Option 3: Niels Bohr
Option 4: John Dalton
Correct Answer: John Dalton
Solution : The correct option is John Dalton.
In 1808, John Dalton's work provided a physical picture of how compounds are formed by the combination of two or more different types of atoms. His atomic theory laid the foundation for our understanding of chemical compounds and
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. She participates in several functions and musical shows and receives accolades for her singing. B. Vineeta has a very sweet voice, which has inspired her to adopt singing as her profession. C. She can also play musical instruments such as the sitar and the harmonium. D. Now, she has opened a music school to train young singers.
Option 1: ADCB
Option 2: BACD
Option 3: ACDB
Option 4: DCBA
Correct Answer: BACD
Solution : The second option is correct.
The sequence begins by introducing Vineeta's inspiration to pursue singing professionally due to her sweet voice. It then mentions her participation in functions and shows, followed by her ability to play musical instruments. Finally, it concludes with her opening a
Question : Direction: A boat can travel at a speed of 30 km/hr in still water. If the speed of the stream is 6 km/hr. Find the time taken by the boat to go 108 km downstream.
Option 1: 2 hrs
Option 2: 5 hrs
Option 3: 3 hrs
Option 4: 4 hrs
Correct Answer: 3 hrs
Solution : Speed of the boat in still water = 30 km/hr
Speed of the stream = 6 km/hr
Downstream speed of the boat = Speed of the boat in still water + Speed of the stream = 30 + 6 = 36 km/hr.
We will
Question : A sum of money at simple interest amounts to Rs. 6,000 in 4 years and to Rs. 6,750 in 7 years at the same rate percent per annum of interest. The sum (in Rs.) is:
Option 1: 5,100
Option 2: 4,800
Option 3: 4,000
Option 4: 5,000
Correct Answer: 5,000
Solution : The difference between the amounts after 7 years and 4 years = Rs. 6750 – Rs. 6000 = Rs. 750, is the simple interest for 3 years. Therefore, the simple interest for 1 year = $\frac{750}{ 3}$ = Rs. 250 The simple interest for 4
Question : A cyclone is known by different names in different parts of the world. In the Philippines, it is called ______.
Option 1: willy-willy
Option 2: hurricane
Option 3: typhoon
Option 4: mango shower
Correct Answer: typhoon
Solution : The correct answer is a typhoon.
In the Philippines, a cyclone is called a typhoon, and in China and Japan, a cyclone is also known as a typhoon. In Australia, cyclones are called willy-willy. Cyclones are also known as hurricanes and tornadoes in America.
Question : A businessman imported laptops valued at Rs. 2,10,000, mobile phones valued at Rs. 1,00,000, and television sets valued at Rs. 1,50,000. He incurred a duty of 10% on laptops, 8% on phones, and 5% on television sets as a special case. What is the total duty amount in rupees that he had to pay for all the items based on the provided details?
Option 1: Rs. 36,500
Option 2: Rs. 37,000
Option 3: Rs. 37,250
Option 4: Rs. 37,500
Correct Answer: Rs. 36,500
Solution : Given: A businessman imported laptops worth Rs. 2,10,000, Mobile phones worth Rs. 1,00,000 and Television sets worth Rs. 1,50,000. He had to pay 10% duty on laptops, 8% on phones and 5% on Television sets as a special case. He had to pay 10%
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
