Staff Selection Commission Combined Higher Secondary Level Exam
Question : If the sides of a triangle are extended on both sides then the sum of the exterior angles formed on both sides is:
Option 1: $360^{\circ}$
Option 2: $540^{\circ}$
Option 3: $720^{\circ}$
Option 4: $180^{\circ}$
Correct Answer: $720^{\circ}$
Solution : $\angle$ABC + $\angle$BCA + $\angle$BAC = $180^{\circ}$ ---------------(i) ⇒ $\angle$ACB + $\angle$ACD = $180^{\circ}$ ---------------(ii) ⇒ $\angle$ABC + $\angle$ABF = $180^{\circ}$ ---------------(iii) ⇒ $\angle$BAC + $\angle$EAC = $180^{\circ}$ ---------------(iv) Adding (ii), (iii), and (iv), then subtracting (i) from it, $\therefore$ $\angle$ACD + $\angle$ABF + $\angle$EAC = $540^{\circ}$ – $180^{\circ}$ = $360^{\circ}$ So, the sum of the exterior angles formed on both sides = $2 × 360^{\circ}$ = $720^{\circ}$ Hence, the correct answer is $720^{\circ}$.
Question : Which of these is a component of the tertiary sector of an economy?
Option 1: Mining and quarrying
Option 2: Water supply
Option 3: Electricity
Option 4: Hotels and restaurants
Correct Answer: Hotels and restaurants
Solution : The correct answer is Hotels and restaurants.
The tertiary sector, also known as the service sector, encompasses a wide range of service-based industries that provide services to individuals and businesses.
This includes businesses like hotels, restaurants, retail, healthcare, education, entertainment, and various professional services. Mining and quarrying, water supply, and electricity generation are typically part of the primary and secondary sectors of the economy, not the tertiary sector.
Question : Direction: Gurpreet is facing south. She turns right and walks 35 m, then turns right again and walks 40 m more. Finally, she turns left and walks 30 m. Which direction is she facing now?
Option 1: South
Option 2: North
Option 3: West
Option 4: East
Correct Answer: West
Solution : As per the given information, the movement of Gurpreet will look as follows –
Now, Gurpreet is facing the West direction. Hence, the third option is correct.
Question : Fill in the blank with the most suitable word.
A haze of panic blurred my vision; something terrible was close to ____________.
Option 1: happens
Option 2: happened
Option 3: has happened
Option 4: happening
Correct Answer: happening
Solution : The correct choice is the fourth option.
The blank can be filled with the gerund form of the verb "happen", that is, "happening", as it accurately describes that the action is about to happen. This helps in conveying the intended meaning of the sentence: that, as the vision was blurred, there was a sense that a terrible event was about to take place.
Therefore, the complete sentence is: A haze of panic blurred my vision; something terrible was close to happening.
Question : Select the most appropriate synonym of the given word.
Diminutive
Option 1: Miniature
Option 2: Enormous
Option 3: Propaganda
Option 4: Distinguish
Correct Answer: Miniature
Solution : The correct choice is the first option, miniature.
Diminutive is an adjective used to describe something that is notably small in size, stature, or scale.
Miniature refers to something that is much smaller in scale or size compared to the usual or standard size of that object or thing and is the appropriate synonym.
The meanings of the other options are as follows:
Question : Directions: In the following question, select the related number from the given alternatives. 12593 : 35291 :: 29684 : 46982 :: 72936 : ?
Option 1: 62793
Option 2: 92637
Option 3: 69237
Option 4: 62937
Correct Answer: 69237
Solution : Given: 12593 : 35291 :: 29684 : 46982 :: 72936 : ?
Shuffle the position of the digits of the number 12593 as shown below –
Thus, 12593→35291 Likewise, shuffle the position of the digits of the number 29684 –
Thus, 29684→46982 Similarly, follow the same pattern for 72936 –
So, 69237 is the required answer. Hence, the third option is correct.
Question : Select the most appropriate ANTONYM to substitute the underlined word in the following sentence. There was an interminable struggle from his part in his fight against cancer.
Option 1: overwhelming
Option 2: inappropriate
Option 3: unsustainable
Option 4: intermittent
Correct Answer: intermittent
Solution : The fourth option is the correct choice.
The word "interminable" means endless or seemingly without end. The antonym "intermittent" means occurring at irregular intervals, suggesting stops or breaks. It contrasts with the idea of a continuous and seemingly endless struggle.
Therefore, the correct answer is intermittent.
Question : Directions: How many triangles are there in the given figure?
Option 1: 14
Option 2: 12
Option 3: 15
Option 4: 16
Correct Answer: 16
Solution : The given figure can be labelled as shown below –
In the above-labelled figure, there are a total of 16 triangles. They are ABC, CDE, EFG, GHI, IJK, KLM, MNO, OPA, COK, CGK, OKG, OCG, CQO, OQK, KQG, and GQC.
Therefore, there are 16 triangles in the given figure. Hence, the fourth option is correct.
Question : Directions: Study the following bar diagram carefully and answer the questions. The bar graph given below shows the foreign exchange reserves of a country (in millions US $) from 1991-1992 to 1998-1999.
The ratio of the number of years, in which the foreign exchange reserves are above the average reserves, to those in which the reserves are below the average reserves is:
Option 1: 2 : 6
Option 2: 3 : 4
Option 3: 3 : 5
Option 4: 4 : 4
Correct Answer: 3 : 5
Solution : Average of the foreign exchange reserves of a country (in millions USD) from 1991-1992 to 1998-1999 is: $=\frac{2640+3720+2520+3360+3120+4320+5040+3120}{8}$ = 3480 The number of years in which the reserves are above the average reserves = 3 The number of years in which the reserves are below the average reserves = 5 So, the ratio of above and below the average = 3 : 5 Hence, the correct answer is 3 : 5.
Question : The price of a commodity is decreased by 25 percent and therefore a household increases the consumption of that commodity by 20 kg to keep the expenditure same. What was the earlier consumption?
Option 1: 60 kg
Option 2: 55 kg
Option 3: 75 kg
Option 4: 45 kg
Correct Answer: 60 kg
Solution : Original price = Rs. 100 per kg Original consumption = $x$ kg After a decrease of 25%, New price = Rs. 75 per kg New consumption = $x$ + 20 kg Original expenditure = 100$x$ New expenditure = $75\times(x + 20) = 75x + 1500$ Since the expenditure is the same, we have $100x = 75x + 1500$ ⇒ $25x = 1500$ $\therefore x$ = 60 kg Hence, the correct answer is 60 kg.
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