Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $x+y+z=13$ and $x^2+y^2+z^2=69$, then $xy+z(x+y)$ is equal to:
Option 1: 70
Option 2: 40
Option 3: 50
Option 4: 60
Correct Answer: 50
Solution : Given: $x+y+z=13$ and $x^2+y^2+z^2=69$. To find: $xy+z(x+y)$ which is equal to $(xy+zx+zy)$ Squaring both sides, $(x+y+z)^{2}=13^2$ $x^{2}+y^{2}+z^{2}+2(xy+yz+zx)=169$ Putting the values, we get, $69+2(xy+yz+zx)=169$ ⇒ $2(xy+yz+zx)=169-69$ ⇒ $(xy+yz+zx) = \frac{100}{2} = 50$ Hence, the correct answer is 50.
Question : What did the term 'bhoga' refer to during the medieval period?
Option 1: Revenue assignments
Option 2: Donations to temples
Option 3: A festival
Option 4: Religious function
Correct Answer: Revenue assignments
Solution : The correct answer is Revenue assignments.
Bhoga refers to the generic term for taxes, the king's grain share. It was introduced during the Gupta period. The periodical supply of fruits, firewood and flowers given by villagers to the king was known as 'Bhog'.
Question : The 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. Despite numerous setbacks and rejections, he refused to give up on his dream of making it big. B. John had always been a talented musician, but he struggled to find his place in the competitive and cutthroat music industry. C. With the help of a supportive community of fellow musicians and fans, John continued to hone his craft and develop his own unique sound. D. Eventually, his hard work paid off and he landed a record deal with a major label.
Option 1: BACD
Option 2: DCAB
Option 3: BDAC
Option 4: CBAD
Correct Answer: BACD
Solution : The first option is the correct answer: BACD.
The paragraph starts by introducing John's background as a talented musician who struggled in the competitive music industry (B). It then mentions his refusal to give up on his dream despite setbacks (A). The next sentence
Question : Directions: The marks obtained by 273 examinees are shown by the frequency polygon. Given that the mean mark is 59.5. Study the frequency polygon and answer the given questions.
If 40 is the passing mark, the percentage of students who failed is:
Option 1: 14.56
Option 2: 15.84
Option 3: 16.11
Option 4: 17.25
Correct Answer: 16.11
Solution : As per the given graph, The number of students who got 40 marks = 2 + 4 + 12 + 26 = 44 The total number of students = 2 + 4 + 12 + 26 + 35 + 42 + 72 + 48 +
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement."
Only high officials have access (with) the President.
(1) to
(2) for
(3) from
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option, "to".
The correct preposition to use after "access" in this context is "to". "Access to" is the standard phrase used to convey the idea that someone has the right or permission to reach or interact with
Question : The line chart given below shows the number of male teachers and female teachers in 5 schools. J1 = Total number of male and female teachers in school P. J2 = The difference between the total number of male and the total number of female teachers in all the 5 schools. What is the value of (J1 : J2)?
Option 1: 7 : 4
Option 2: 4 : 7
Option 3: 9 : 7
Option 4: 5 : 7
Correct Answer: 7 : 4
Solution : J1 = 80 + 60 = 140 J2 = (60 + 80 + 70 + 50 + 30) – (80 + 70 + 20 + 10 + 30) = 80 (J1 : J2) = 140 : 80 = 7 : 4 Hence, the
Question : What is the area of a triangular flower bed of a garden whose perimeter is 20 m and two sides are 5 m and 6 m?
Option 1: $10 \sqrt{2}$ m2
Option 2: $2 \sqrt{10}$ m2
Option 3: $5 \sqrt{2}$ m2
Option 4: $4 \sqrt{5}$ m2
Correct Answer: $10 \sqrt{2}$ m2
Solution : Perimeter = 20 m Two sides are 5 m and 6 m. Third side = 20 – 5 – 6 = 9 m Semi perimeter, $ s = \frac{a+b+c}{2} = \frac{20}{2} = 10$ Area of triangle $= \sqrt{s(s-a)(s-b)(s-c)}$ $= \sqrt{10(10-5)(10-6)(10-9)}$ $= \sqrt{10×5×4}$
Question : Which among the following lakes is known as the only "Floating Islands Lake" in India?
Option 1: Loktak
Option 2: Pulicat
Option 3: Chilka
Option 4: Kolleru
Correct Answer: Loktak
Solution : The correct option is Loktak.
Loktak Lake, located in the northeastern state of Manipur, is known as the only floating island lake in the country. It is famous for its unique phumdis, which are masses of vegetation, soil, and organic matter that float on the
Question : Directions: In a certain code language, KNEW is coded as 1493, and NECK is coded as 8319. What is the code for C in the given code language?
Option 1: 9
Option 2: 8
Option 3: 1
Option 4: 3
Correct Answer: 8
Solution : Given: KNEW ⇒ 1493 NECK ⇒ 8319
After comparing the above-coded words, we get – The common letters in words are K, N, and E and common numbers are 9, 3, and 1. The remaining letters and codes in KNEW are W and 4. The
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Today, I want to talk to you about a very simple matter, that is, simple conversations. When we learn to speak, (1) ___ come words, then phrases, and then scripts. You would agree that the larger the bundles of words we (2) ___, the less we have to worry about combining them into sensible (3) ____. Also, the less we have to fret over syntax or (4) ___. Do you think you choose the words? Do you pre-rehearse every time you go out? (5) ____ what happens when you walk into a fast-food restaurant. My dear, how do you react in those real-life situations?
Question:
Select the most appropriate option to fill in the blank no. 2.
Option 1: ask around
Option 2: bailout
Option 3: look after
Option 4: carry around
Correct Answer: carry around
Solution : The correct choice is the fourth option.
Carry around refers to the act of having something with you; in the context of the sentence, it is the number of words we carry in our mind.
The meanings of the other options are as
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