Staff Selection Commission Combined Higher Secondary Level Exam
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).
Being a wet day, he stayed at home.
(1) Though
(2) As it was
(3) Since
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct answer.
It maintains the cause-and-effect relationship between the wet day and his staying at home. The phrase "As it was" helps to connect the conditions.
Therefore, the correct sentence is: As it was a wet day, he stayed at
Question : Directions: How many triangles are there in the given figure?
Option 1: 9
Option 2: 10
Option 3: 11
Option 4: 8
Correct Answer: 8
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 8 triangles. They are AEF, GBH, ICJ, LDK, MNO, ONQ, MOQ, and MPQ.
So, there are a total of 8 triangles. Hence, the fourth option
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete. DE_GYUA_TK_GOAQ_
Option 1: FGVA
Option 2: VGFA
Option 3: FGVG
Option 4: BCHL
Correct Answer: FGVG
Solution : Given: DE_GYUA_TK_GOAQ_
To fill the series we have to divide the series – DE_G / YUA_ / TK_G / OAQ_ Let's check each option – First option: FGVA; DEFG / YUAG / TKVG / OAQA (No repeated pattern
Question : Which of the following monuments is the oldest?
Option 1: Qutub Minar
Option 2: Khajuraho
Option 3: Ajanta Caves
Option 4: Taj Mahal
Correct Answer: Ajanta Caves
Solution : The correct answer is Ajanta Caves.
The Ajanta Caves are a collection of about 29 Buddhist cave monuments carved out of stone discovered in 1819. The Ajanta village is located near the caves in Maharashtra. The Ajanta caves are divided into prayer rooms known
Question : The mean high temperature of the first four days of a week is 25°C whereas the mean of the last four days is 25.5°C. If the mean temperature of the whole week is 25.2°C, then the temperature on the 4th day is:
Option 1: 25.5°C
Option 2: 25°C
Option 3: 25.2°C
Option 4: 25.6°C
Correct Answer: 25.6°C
Solution : Given: The mean high temperature of the first four days = 25°C The mean of the last four days = 25.5°C The mean temperature of the whole week = 25.2°C. The temperature on the 4th day is given as, (4 × 25 + 4 ×
Question : Two trains start from stations A and B and travel towards each other at speeds of 50 km/h and 60 km/h, respectively. At the time of their meeting, the second train had travelled 120 km more than the first. The distance between A and B is:
Option 1: 1200 km
Option 2: 1440 km
Option 3: 1320 km
Option 4: 990 km
Correct Answer: 1320 km
Solution : Relative distance = Relative speed × Time According to the question, Time taken by the trains to meet = $\frac{120}{60-50}$ = 12 hr Total distance from A to B = distance covered by slower train + distance covered by faster train = $(12 ×
Question : If $\alpha +\beta =90^{0}$, then value of $\left (1-\sin^{2}\alpha \right)\left (1-\cos^{2}\alpha \right)\times \left (1+\cot^{2}\beta \right)\left (1+\tan^{2}\beta \right)$ is:
Option 1: 1
Option 2: –1
Option 3: 0
Option 4: 2
Correct Answer: 1
Solution : Given: $\alpha +\beta = 90° ⇒ \alpha = 90° - \beta$ Using identities: $\cos^2\alpha + \sin^2\alpha = 1$ , $\cot^2\alpha +1 = \text{cosec}^2\alpha$ and $\tan^2\alpha +1 = \sec^2\alpha$, we get: $\left (1-\sin^{2}\alpha \right)\left (1-\cos^{2}\alpha \right)\times \left (1+\cot^{2}\beta \right)\left (1+\tan^{2}\beta \right)$ $=\cos^2\alpha \sin^2\alpha \times \text{cosec}^2\beta \sec^2\beta$
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Harry Potter was first introduced in the novel 'Harry Potter and the Philosopher's Stone' as an orphan who is (1)________ by his guardian aunt and uncle and their son. On his 11th birthday, Harry discovers that his parents were a witch and a wizard and that he, a wizard himself, has been invited to (2)__________ Hogwarts School of Witchcraft and Wizardry. He also learns that his parents had not (3)__________ in a car accident, as his aunt and uncle had told him, but that they instead had been murdered by an evil wizard named Voldemort. Harry was the only person to have ever (4)________ an attack by Voldemort-by somehow (5)_________ the latter's 'killing curse'-which left him with a lightning-bolt-shaped scar on his forehead.
Select the most appropriate option to fill in the blank number 3.
Option 1: perished
Option 2: departed
Option 3: lost
Option 4: vanished
Correct Answer: perished
Solution : The first option is the correct answer.
In the context of the passage, the sentence mentions that Harry learns that his parents had not died in a car accident but had been murdered. The word perished conveys the idea of death and fits well in
Question : Directions: In the following question, some parts of the sentence may have some 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".
That summer, elections were (1) / held at many a place (2) / without any untoward incident. (3) / No Error (4)
Solution : The error lies in the second part.
''Many a place'' should be replaced with ''many places'' to convey the intended meaning that the elections were held without any problematic actions.
''Many'' is an adjective used before a large number of countable nouns. ''A place'' is
Question : In a cyclic quadrilateral ${EFGH}, \angle {E}$ is opposite to $\angle{G}$. If $\angle{E}=95°$, then what is the value of $\angle {G}$?
Option 1: 80°
Option 2: 75°
Option 3: 85°
Option 4: 105°
Correct Answer: 85°
Solution : Given, $\angle E = 95°$ EFGH is a cyclic quadrilateral In a cyclic quadrilateral, the opposite angles are supplementary. ⇒ $\angle E + \angle G = 180°$ ⇒ $95° + \angle G = 180°$ ⇒ $\angle G = 180° - 95° = 85°$ Hence, the
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