Staff Selection Commission Combined Graduate Level Exam
Question : The lengths of the two parallel sides of a trapezium are 28 cm and 40 cm. If the length of each of its other two sides is 12 cm, then the area (in cm2) of the trapezium is:
Option 1: $312\sqrt{5}$
Option 2: $408\sqrt{3}$
Option 3: $204\sqrt{3}$
Option 4: $504\sqrt{3}$
Correct Answer: $204\sqrt{3}$
Solution : Let ABCD be a trapezium. AB = 40 cm, CD = 28 cm, and AD = BC = 12 cm. DE and CF are perpendicular to AB. As per symmetry AE = FB = 6 cm In the right-angled triangle CFB $CF^2= BC^2-FB^2$ ⇒ $CF^2=12^2-6^2$
Question : Ashok runs $2 \frac{2}{3}$ times as fast as Bharat. If Ashok gives Bharat a head start of 160 m, then how far must the winning post be so that Ashok and Bharat can reach it at the same time?
Option 1: 225 m
Option 2: 256 m
Option 3: 240 m
Option 4: 200 m
Correct Answer: 256 m
Solution : The ratio of speeds of Ashok and Bharat = $2\frac{2}{3}:1= 8:3$ That means in a race of 8 m, Ashok gains 5 m over Bharat. ⇒ 160 m will be gained by Ashok in a race of $\frac{8}{5}\times 160 = 256 \ \mathrm{m}$ Hence,
Question : Directions: If A ÷ B means that A is the brother of B, A × B means that A is the sister of B, and A – B means that A is the father of B then which of the following expressions shows that P is the paternal uncle of R?
Option 1: P – R ÷ Q
Option 2: P ÷ R × Q
Option 3: P × R – Q
Option 4: P ÷ Q – R
Correct Answer: P ÷ Q – R
Solution : Let's check each option – First option: P – R ÷ Q According to the given information, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure. So, P
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Even if he was (1) / a God, (2) / I would not trust him. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
Was should be replaced with were to convey the intended meaning that the speaker would not trust him even if he were a God.
There is an error in the use of the auxiliary verb in the sentence.
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. Child marriage is a kind of right exploitation as to (1)__________ in practically all areas, the kid must be at least 18 years old. As a result, marrying off a kid before they reach the age of (2)________ is an exploitation of their right. The long-standing (3)_________ of child marriage is one of the most prevalent reasons for child marriage. The elders want to plan for the (4)________ of their family, so they marry off the children to establish their position. Most crucially, poor individuals marry children to get rid of their debts, taxes, dowry, and other (5)__________.
Question: Select the most appropriate answer to fill in the blank 1.
Option 1: bind
Option 2: mature
Option 3: marry
Option 4: vote
Correct Answer: marry
Solution : The correct choice is the third option.
Explanation: The sentence discusses child marriage and the age at which a child can legally engage in various activities.
The phrase "the kid must be at least 18 years old" implies a condition related to age.
Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, select ‘No error’. If you are going downhill, you can go much fast.
Option 1: No error
Option 2: If you are going downhill
Option 3: Much fast
Option 4: You can go
Correct Answer: Much fast
Solution : The third option is correct.
Question : As the river approaches the sea, the speed of the flowing water decreases and the river begins to break up into several streams called ____.
Option 1: plateau
Option 2: isthmus
Option 3: peninsula
Option 4: distributaries
Correct Answer: distributaries
Solution : The correct answer is distributaries.
The channels through which a river distributes its water are known as distributaries. In a mature deltaic lobe, many distributaries are formed, through which many small rivulets are formed in a large delta.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 325, 271, 226, ?, 163, 145, 136
Option 1: 190
Option 2: 180
Option 3: 186
Option 4: 196
Correct Answer: 190
Solution : Given: 325, 271, 226, ?, 163, 145, 136
In the above-given series, subtract the multiples of 9 in decreasing order from the previous numbers to obtain the next numbers. 325 – 54 = 271; 271 – 45 = 226; 226 – 36 = 190; 190
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 1029 : 7 :: 2187 : 9 :: 24 : ?
Option 1: 3
Option 2: 2
Option 3: 6
Option 4: 4
Correct Answer: 2
Solution : Given: 1029 : 7 :: 2187 : 9 :: 24 : ?
Like, (7)3 × 3 = 343 × 3 = 1029 (9)3 × 3 = 729 × 3 = 2187 Similarly, (?)3 × 3 = 24 ⇒ (?)3 = 24
Question : ' Darwin finches' refer to a group of :
Option 1: Fishes
Option 2: Lizards
Option 3: Birds
Option 4: Amphibians
Correct Answer: Birds
Solution : The correct option is Birds.
Darwin's finches refers to a group of birds that Charles Darwin observed during his voyage on the HMS Beagle in the early 1830s. There are about 14 species of these finches, and they are known for their remarkable diversity in
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