Staff Selection Commission Combined Higher Secondary Level Exam
Question : A chord of length 48 cm is at a distance of 7 cm from the centre of the circle. What is the length of the chord of the same circle which is at a distance of 15 cm from the centre of the circle?
Option 1: 40 cm
Option 2: 45 cm
Option 3: 35 cm
Option 4: 42 cm
Correct Answer: 40 cm
Solution : The perpendicular from the centre of a circle to a chord bisects the chord. By Pythagoras theorem: Hypotenuse2 = Base2 + Perpendicular2 MP = PN = $\frac{\text{MN}}{2}$ = $\frac{48}{2}$ = 24 cm Distance from the centre as $d_{1}$ = 15 cm
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".
The people of Japan are (wiser than those of America).
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option since the sentence is grammatically accurate and doesn't need any change. The sentence conveys the idea that Japanese people are wiser in comparison to their American counterparts.
Question : The bar graph shows the production of tablets and mobiles in four consecutive years. Calculate the ratio of mobiles in 2015 to tablets in 2018.
Option 1: 2 : 5
Option 2: 2 : 1
Option 3: 1 : 2
Option 4: 1 : 1
Correct Answer: 1 : 1
Solution : As per the given graph, The production of mobiles in the year 2015 = 23 lakhs The production of tablets in the year 2018 = 23 lakhs The required ratio = 23 : 23 = 1 : 1 Hence, the correct answer is
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
The employee did not __ to the argument of the manager.
Option 1: precede
Option 2: exceed
Option 3: concede
Option 4: recede
Correct Answer: concede
Solution : The third option is the correct answer. The correct word in this context is "concede," which means to admit or acknowledge the truth of something, typically after a discussion or argument.
The sentence means that the employee did not agree or yield to the manager's
Question : Directions: In a certain code language, DESIRE is coded as GSKTGE. What is the code for DIRECT in that code language?
Option 1: VGDSKE
Option 2: VDKKSE
Option 3: VDGKSE
Option 4: VDGSKE
Correct Answer: VDGSKE
Solution : Given: DESIRE is coded as GSKTGE.
Reverse the letters of DESIRE and add 2 and 1 alternatively to the place of the reversed letter, to obtain the required code – Reverse the letters of DESIRE→ERISED Now, add 2 and 1 to the reversed letters alternately→E
Question : Directions: In a certain code language, FROM is coded as 8167 and ROMP is coded as 6218. What is the code for F in the given code language?
Option 1: 7
Option 2: 6
Option 3: 8
Option 4: 1
Correct Answer: 7
Solution : Given: FROM is coded as 8167 and ROMP is coded as 6218.
In both the words FROM and ROMP, the common letters are→R, O, and M, and the common numbers/codes are→8, 1, and 6. So, in the word FROM, F is the remaining letter and
Question : On August 12, ______, the Mughal emperor appointed the East India Company as the Diwan of Bengal.
Option 1: 1765
Option 2: 1768
Option 3: 1772
Option 4: 1760
Correct Answer: 1765
Solution : The correct answer is 1765.
On August 12, 1765, the Mughal emperor designated the East India Company as the Diwan of Bengal, granting it financial authority over the region. While serving as Diwan, the company focused on maximising revenue and obtaining products for trade.
Question : A bottle is filled with liquid, of which 4 parts are water and 5 parts are fruit extract. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half fruit extract?
Option 1: $\frac{1}{10}$
Option 2: $\frac{9}{10}$
Option 3: $\frac{4}{9}$
Option 4: $\frac{5}{9}$
Correct Answer: $\frac{1}{10}$
Solution : Let $x$ be a part of the mixture that has drawn off and $v$ be the total volume. Given: Initial ratio = Water : fruit extract = 4 : 5 Final ratio = water : fruit extract = 1 : 1 Taking the volume of
Question : Hema Malini, a popular dancer and actress, received the ____________ in 2000.
Option 1: Padma Shri
Option 2: Kabir Samman
Option 3: Padma Vibhushan
Option 4: Kalidas Samman
Correct Answer: Padma Shri
Solution : The correct answer is Padma Shri.
Hema Malini is a famous Indian actress, dancer, and politician. He is also known as the dream girl of Hindi cinema. She got the Padma Shri award from the Government of India in 2000. The Padma Shri
Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will come in place of the question mark (?) in the following equation? 468 A 52 B 34 D 126 C 83 = ?
Option 1: 263
Option 2: 349
Option 3: 363
Option 4: 186
Correct Answer: 263
Solution : Given: 468 A 52 B 34 D 126 C 83 = ?
After replacing the letters with the mathematical signs, the equation becomes – = 468 ÷ 52 × 34 – 126 + 83 = 9 × 34 – 126 + 83 = 306 –
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