Staff Selection Commission Combined Higher Secondary Level Exam
Question : The ratio of the angles of a triangle is 1 : 2 : 6. What is the smallest angle?
Option 1: $40^\circ$
Option 2: $45^\circ$
Option 3: $30^\circ$
Option 4: $20^\circ$
Correct Answer: $20^\circ$
Solution : Ratio of the angles of triangle = 1 : 2 : 6 Let the angles be $x, 2x$ and $6x$ and $x$ be the smallest angle. $x+2x+6x=180^\circ$ ⇒ $9x=180^\circ$ ⇒ $x = 20^\circ$ Hence, the correct answer is $20^\circ$.
Question : The line chart given below shows the production of refrigerators by 6 companies.
What is the difference between the production of refrigerators by companies E, F, and G together and the production of refrigerators by companies H, I, and J together?
Option 1: 80
Option 2: 160
Option 3: 120
Option 4: 190
Correct Answer: 120
Solution : Production of Refrigerator by company E = 500 Production of Refrigerator by company F = 470 Production of Refrigerator by company G = 460 Production of Refrigerator by company H = 440 Production of Refrigerator by the company I = 420 Production of Refrigerator by
Question : Talat Aziz is primarily a _____ singer.
Option 1: Hindustani classical
Option 2: Carnatic classical
Option 3: ghazal
Option 4: folk
Correct Answer: ghazal
Solution : The correct answer is ghazal.
Talat Aziz is primarily known as a Ghazal singer. Ghazal is a poetic and musical form of expression, often associated with themes of love, longing, and the nuances of the human heart. Talat Aziz has carved a niche for
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).
A greedy man always hankers after money.
(1) wanted
(2) greeds after
(3) runs after
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The fourth option is the correct choice.
The word "hankers" means to have a strong affection toward something and this is the best fit to the sentence.
Question : The average of 16 numbers is 35. It was found later that four numbers 18, 17, 24, and 35 were taken by mistake. What is the new average after removing these numbers?
Option 1: 38.83
Option 2: 42.33
Option 3: 46.66
Option 4: 33.33
Correct Answer: 38.83
Solution : Given that the average of 16 numbers is 35, we can calculate the sum of those 16 numbers as follows: Sum = Average × Count ⇒ Sum = 35 × 16 = 560 So, Adjusted Sum = Sum – Sum of Mistaken Numbers ⇒ Adjusted
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No correction required'.
Everyone sincerely and positively were ready to find a solution to the serious issue of the sewage system.
Option 1: Everyone were sincerely and positively
Option 2: Everyone was sincerely and positively
Option 3: No correction required
Option 4: Everyone had sincerely and positively
Correct Answer: Everyone was sincerely and positively
Solution : The correct choice is the second option.
Indefinite pronouns such as everybody, everyone, etc. have a singular force; therefore, they are always followed by singular verbs.
Therefore, the correct sentence is: Everyone was sincerely and positively ready to find a solution
Question : If ${x^2+y^2+z^2=2(x+z-1)}$, then the value of $x^3+y^3+z^3$ is equal to:
Option 1: 6
Option 2: 1
Option 3: 2
Option 4: 8
Correct Answer: 2
Solution : Given, ${x^2+y^2+z^2=2(x+z-1)}$ $x^2+y^2+z^2=2x+2z−2$ ⇒ $x^2−2x+1+y^2+z^2−2z+1=0$ ⇒ $(x−1)^2+y^2+(z−1)^2=0$ ⇒ $(x-1)^2=0,$ $y^2=0$, and $(z-1)^2=0$ ⇒ $x-1=0,$ $y=0$, and $z-1=0$ ⇒ $x=1,$ $y=0$, and $z=1$ Now, $x^3+y^3+z^3=1^3+0+1^3=1+1=2$ Hence, the correct answer is 2.
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (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.)
Option 1: 726 – 2278
Option 2: 1248 – 3744
Option 3: 1024 – 3072
Option 4: 336 – 1008
Correct Answer: 726 – 2278
Solution : Let's check each option – First option: (726 – 2278); 726 × 3 = 2178 ≠ 2278 Second option: (1248 – 3744); 1248 × 3 = 3744 Third option: (1024 – 3072); 1024 × 3 = 3072 Fourth option: (336 – 1008); 336
Question : Which among the following is not an example of the 4th Generation of Computers?
Option 1: Apple II
Option 2: TRS-80
Option 3: ICL 2900
Option 4: STAR 1000
Correct Answer: ICL 2900
Solution : The correct option is ICL 2900.
The ICL 2900 is an example of a 3rd generation computer, not a 4th generation computer. The ICL 2900 is a series of mainframe computers developed by International Computers Limited (ICL) during the 1970s.
The 4th generation of
Question : Who was the last ruler of Lodi Dynasty?
Option 1: Bahlul Lodi
Option 2: Ibrahim Lodi
Option 3: Daulat Khan Lodi
Option 4: Sikandar Lodi
Correct Answer: Ibrahim Lodi
Solution : Correct Answer is Ibrahim Lodi
The third and final monarch of the Lodhi Dynasty was Ibrahim Lodhi. In the First Battle of Panipat in 1526, Babur defeated and killed him. The Lodhi Dynasty came to an end with Ibrahim Lodhi's passing. The 320-year-old Delhi
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