Staff Selection Commission Combined Graduate Level Exam
Question : If the areas of two isosceles triangles with equal corresponding angles are in the ratio of $x^2:y^2$, then the ratio of their corresponding heights is:
Option 1: $x: y$
Option 2: $\sqrt{x}: \sqrt{y}$
Option 3: $x^3: y^3$
Option 4: $x^2: y^2$
Correct Answer: $x: y$
Solution : The area of a triangle is directly proportional to the square of its height. Given, Ratio of areas = $x^2 : y^2$ $\therefore$ The ratio of their heights = $x:y$ Hence, the correct answer is $x:y$.
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. Comics have (1) ________ many superheroes. Bantul, the great, was (2) ________ in the year 1965, in the backdrop of the Indo-Pak war. Indrajal comics was set up in 1964, and (3) __________ Aabid Surti, who gave birth to a character called Bhadur in 1976, wearing kurta and jeans. Raj comics too (4) ________ into this sphere with their (5) ________ toons Nagraj, Tiranga and Shakti together called Brahman Rakshak (protectors of the universe). Select the most appropriate option to fill in the blank number 1.
Option 1: built
Option 2: produced
Option 3: fabricated
Option 4: manufactured
Correct Answer: produced
Solution : The correct choice is the second option.
Explanation: "Comics have produced many superheroes." This choice fits well in the context, as it describes the creation or generation of superheroes within the medium of comics.
The meanings of the other options are as follows:
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. Example 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.) (4, 14, 56) (6, 15, 90)
Option 1: (8, 13, 106)
Option 2: (9, 15, 125)
Option 3: (7, 17, 118)
Option 4: (7, 16, 112)
Correct Answer: (7, 16, 112)
Solution : Given: (4, 14, 56); (6, 15, 90)
Here, (4, 14, 56)→4 × 14 = 56 (6, 15, 90)→6 × 15 = 90
Let's check the given options – First option: (8, 13, 106)→8 × 13 = 104 ≠ 106 Second option: (9, 15,
Question : Directions: Anand is the son of Prema. Rajeev is the brother of Prema. Neha is the daughter of Rashmi. Neha is the sister of Rajeev. How is Anand related to Rashmi?
Option 1: Son
Option 2: Grandson
Option 3: Grandfather
Option 4: Granddaughter
Correct Answer: Grandson
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, Anand is the grandson of Rashmi. Hence, the second option
Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s). Statements: Some floors are plates. No plate is a sofa. All gardens are plates. Conclusions: I. Some floors being gardens is a possibility. II. No garden is a sofa. III. All plates are gardens. IV. No floor is a sofa.
Option 1: Only conclusion I follows
Option 2: Only conclusions I, II and IV follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and II 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 floors being gardens is a possibility – It is a possibility that the two circles representing floors and gardens
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. Being constant (1) _________ repeating a task or action, or performing an activity without a stop or interval. Consistency can never be attained in a sporadic or (2) _______ manner. When you perform anything regularly or constantly, you will not only build expertise in that area, but you will also gain a better (3) ________ of it. Because of the greater amount of effort put in over a longer period of time, this enhanced comprehension is (4) ________. As a result, consistency is the (5) _________ that allows anyone to consistently put in the effort.
Question:
Select the most appropriate option to fill in the blank number 2.
Option 1: casual
Option 2: intermittent
Option 3: discipline
Option 4: focus
Correct Answer: intermittent
Solution : The second option is the correct answer.
The word intermittent fits well in the context of the sentence. It contrasts with the idea of being constant, as it means occurring at irregular intervals or not being continuous.
The meanings of the other options are as
Question : Under whom was the Ilbert bill passed?
Option 1: Lord Lytton
Option 2: Lord Cornwallis
Option 3: Lord Ripon
Option 4: Lord Curzon
Correct Answer: Lord Ripon
Solution : The correct option is Lord Ripon.
The Ilbert Bill, a piece of legislation that was proposed in 1883 while the Marquess of Ripon served as Viceroy, was written by Sir Courtenay Peregrine Ilbert. The bill advocated removing the restrictions on these officials and
Question : Calculate the HCF of $\frac{12}{5},\frac{14}{15},$ and $\frac{16}{17}$.
Option 1: $\frac{4}{255}$
Option 2: $\frac{3}{255}$
Option 3: $\frac{2}{255}$
Option 4: $\frac{1}{255}$
Correct Answer: $\frac{2}{255}$
Solution : The LCM of 5, 15, and 17 = 255 The HCF of 12, 14, and 16 = 2 $\therefore$ The HCF of $\frac{12}{5},\frac{14}{15},$ and $\frac{16}{17}=\frac{2}{255}$ Hence, the correct answer is $\frac{2}{255}$.
Question : Apatanis are the major tribal group of
Option 1: Jharkhand
Option 2: Nagaland
Option 3: Sikkim
Option 4: Arunachal Pradesh
Correct Answer: Arunachal Pradesh
Solution : The correct answer is Arunachal Pradesh.
The Apatani are the largest tribal community in the Ziro Valley in Arunachal Pradesh, India. Arunachal Pradesh is an Indian state in northeastern India recognised for its ethnic and ethnic diversity, with various indigenous tribes living there.
Question : The greatest perfect square number of six digits is:
Option 1: 999001
Option 2: 998001
Option 3: 998009
Option 4: 998101
Correct Answer: 998001
Solution : Greatest six-digit number = 999999 But 999999 is not a perfect square. If we add 1 to 999999 = (1 + 999999) = 1000000 $1000000= (1000)^{2}$ 1000000 is a perfect square of 1000, but it has seven digits. So, $(1000-1)^{2} = (999)^{2} = 998001$ So,
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