Staff Selection Commission Combined Higher Secondary Level Exam
Question : I have x marbles, my elder brother has 3 more than me, while my younger brother has 3 less than me. If the total number of marbles is 15, the number of marbles that I have is:
Option 1: 3
Option 2: 5
Option 3: 8
Option 4: 7
Correct Answer: 5
Solution : Suppose, I have x marbles. My elder brother has (x + 3) marbles, My younger brother has (x – 3) marbles. According to the question, ⇒ x + (x + 3) + (x – 3) = 15 ⇒ 3x + 3 – 3 = 15
Question : If $0^{\circ}< A< 90^{\circ}$, then the value of $\tan ^{2}A+\cot^{2}A-\sec^{2}A \operatorname{cosec}^{2}A$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: –2
Correct Answer: –2
Solution : Given: $0^{\circ}< A< 90^{\circ}$ $\tan ^{2}A+\cot^{2}A-\sec^{2}A \operatorname{cosec}^2A$ = $\frac{\sin^2 A}{\cos^2 A}+\frac{\cos^2 A}{\sin^2 A}-\frac{1}{\cos^2A\sin^2A}$ = $\frac{\sin^4+\cos^4-1}{\cos^2A\sin^2A}$ = $\frac{(\sin^2A+\cos^2A)^2-2\sin^2\cos^2A-1}{\cos^2A\sin^2A}$ = $\frac{1-2\sin^2A\cos^2A-1}{\cos^2A\sin^2A}$ = $\frac{-2\sin^2A\cos^2A}{\cos^2A\sin^2A}$ = $-2$ Hence, the correct answer is –2.
Question : Talking to one's own self is
Option 1: sinecure
Option 2: soliloquy
Option 3: pessimist
Option 4: philanthropist
Correct Answer: soliloquy
Solution : The correct option is soliloquy.
A soliloquy is a literary device when a character speaks aloud about their thoughts in a play or story, usually while they are alone or think they are alone. It gives the audience a glimpse into the character's deepest
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series. ccd_cc_d_ppccccddd_ _p
Option 1: ppdcp
Option 2: pcdpp
Option 3: pcdpc
Option 4: pccdp
Correct Answer: pcdpp
Solution : Given: ccd_cc_d_ppccccddd_ _p
To fill the series, we have to divide the series – ccd_ / cc_d_pp / ccccddd_ _p Let's check each option – First option: ppdcp; ccdp / ccpddpp / ccccdddcpp (No repeated pattern has
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
The traveller took rest (1) / below the shade (2) / of a large Peepal tree. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The word "below" should be replaced with "under" to convey the intended meaning that the traveller had taken rest in the shade of the large peepal tree. The preposition "under" is used to indicate that
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Solar panels are used to ____________ Satellites.
Option 1: Powerful
Option 2: Power
Option 3: Powerless
Option 4: Powers
Correct Answer: Power
Solution : The correct choice is the second option, "power".
"Power" means a source or means of supplying energy, and in this sentence, it conveys that solar panels are used to provide energy to satellites.
The meanings of the other options are as follows:
Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements. Statements: All bottles are medicines. Some doctors are bottles. Some medicines are capsules. Conclusions: I. Some doctors are medicines. II. Some bottles are capsules.
Option 1: Only conclusion (I) is true
Option 2: Only conclusion (II) is true
Option 3: Both conclusions (I) and (II) are true
Option 4: Neither conclusion (I) nor (II) is true
Correct Answer: Only conclusion (I) is true
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some doctors are medicines – From the diagram, it is evident that the circles representing doctors and medicines overlap and have
Question : In the 11th century, the army of which of the following Cholas reached up to Ganga to invade Bengal?
Option 1: Rajendra I
Option 2: Rajaraja I
Option 3: Vijayalaya
Option 4: Rajadhiraj I
Correct Answer: Rajendra I
Solution : The correct answer is Rajendra I.
The mediaeval Chola king, Rajendra I, led an expedition to North India between 1019 and 1024. Rajendra I was one of the most successful Chola kings, and during his rule, he conquered present-day Bengal and Bihar and
Question : Rani can do the work in 10 days, Priya can do the same work in 15 days and Guddu can do the same work in 12 days. If they do that work together and they are paid Rs. 9000, then what is the share of Priya?
Option 1: Rs. 2400
Option 2: Rs. 3000
Option 3: Rs. 3500
Option 4: Rs. 3600
Correct Answer: Rs. 2400
Solution : Given: Rani can do work in 10 days. Priya can do work in 15 days. Guddu can do work in 12 days. LCM of 10, 15, and 12 is 60. Efficiency of Rani $=\frac{60}{10}=6$ Efficiency of Priya $=\frac{60}{15}=4$ Efficiency of Guddu $=\frac{60}{12}=5$ $\therefore$ Share
Question : Directions: If a mirror is placed on the line AB, then out of the option figures which figure will be the right image of the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
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