Staff Selection Commission Combined Graduate Level Exam
Question : In the shown figure, BC is a chord and CD is a tangent through the point C. If $\angle AOC=112^{\circ}$, then find $\angle ACD$.
Option 1: 63°
Option 2: 59°
Option 3: 65°
Option 4: 56°
Correct Answer: 56°
Solution : The angle subtended by an arc of a circle at its centre is twice the angle it subtends on any point of the circle's circumference. So, $\angle$AOC = 2 $\angle$ABC ⇒ 112°= 2 $\angle$ABC ⇒ $\angle$ABC = 56° Also, $\angle$ABC = $\angle$ACD ⇒ $\angle$ACD =
Question : A boat takes half the time to move a certain distance downstream than upstream. The ratio of the speed of the boat in still water to that of the current is:
Option 1: $2:1$
Option 2: $1:2$
Option 3: $4:3$
Option 4: $3:1$
Correct Answer: $3:1$
Solution : Given: A boat takes half the time to move a certain distance downstream than upstream. Use the given formula, Time × Speed = Distance Also, boat speed in still water is $p$ km/hr. Current speed = $q$ km/hr The downstream speed is $(p + q)$
Question : Direction: How many such pairs of letters are there in the word 'RECOVERED', which have as many letters between them in the word as in the English alphabet?
Option 1: THREE
Option 2: FOUR
Option 3: SIX
Option 4: FIVE
Correct Answer: FOUR
Solution : Given: RECOVERED
First, check the sequence of the letters from the left hand side –
Question : The table given below shows the number of spoons manufactured by five factories.
What is the ratio of the number of spoons manufactured by P to the number of spoons manufactured by R?
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 14 : 1
Option 4: 1 : 3
Correct Answer: 2 : 3
Solution : The ratio of the number of spoons manufactured by P to the number of spoons manufactured by R = 100 : 150 = 2 : 3 Hence, the correct answer is 2 : 3.
Question : The foremost right among rights to freedom is_________.
Option 1: right to life and personal liberty
Option 2: preventive detention
Option 3: freedom to assemble
Option 4: right to freedom of speech and expression
Correct Answer: right to life and personal liberty
Solution : The correct answer is the right to life and personal liberty.
The foremost right among rights to freedom is the right to life and personal liberty. This is mentioned in Article 21 of the Indian Constitution. Part 3 of
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 137, 114, ?, 91, 183
Option 1: 145
Option 2: 160
Option 3: 125
Option 4: 112
Correct Answer: 160
Solution : Given: 137, 114, ?, 91, 183
Add 23 to odd-positioned numbers and subtract 23 from even-positioned numbers.
So, the missing number is 160. Hence, the second option is correct.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
A raptor's day begins soon after dawn. They (1). __________their wings for a quick warm-up and are ready for the hunt. Nature (2). __________these birds so well that they do not need to hunt every day. By (3) _________a good kill on a particular day, the larger raptor can go without hunting (4) _________two or three weeks. These predators can do without regular meals. This helps them to (5)_____________if there is bad weather or lack of food.
Question: Select the most appropriate option to fill in the blank number 5.
Option 1: satisfy
Option 2: saturate
Option 3: survive
Option 4: support
Correct Answer: survive
Solution : The third option is the correct choice.
The word survive is used to convey the idea that the ability of these predators to go without regular meals enables them to endure and continue living, especially in challenging conditions such as bad weather or scarcity of
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. L can be represented by 00,12, 24, etc. and T can be represented by 59, 66, 78, etc. Similarly, you have to identify the set for the word CORK.
Option 1: 42, 21, 67, 58
Option 2: 23, 33, 86, 85
Option 3: 11, 40, 55, 75
Option 4: 30, 14, 97, 56
Correct Answer: 11, 40, 55, 75
Solution : Given – CORK
Option first: 42, 21, 67, 58
CORN
Option second: 23, 33, 86, 85
CORT
Option third: 11, 40, 55, 75
CORK.
The third set represents the word CORK.
Option fourth: 30, 14, 97, 56
COTK
Hence, third option is
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9, 16, 5) (7, 9, 4)
Option 1: (14, 64, 7)
Option 2: (14, 100, 5)
Option 3: (11, 36, 5)
Option 4: (12, 66, 4)
Correct Answer: (11, 36, 5)
Solution : Given: (9, 16, 5); (7, 9, 4)
Here, (9, 16, 5)→(9 – 5)2 = (4)2 = 16 (7, 9, 4)→(7 – 4)2 = (3)2 = 9
Let's check the options – First option: (14, 64, 7)→(14 – 7)2
Question : Direction: In the following question, from the given alternative words, select the word which cannot be formed using the letters of the given word.
DEPARTMENT
Option 1: ENTER
Option 2: PARENT
Option 3: TEMPER
Option 4: PARADE
Correct Answer: PARADE
Solution : Given:
First option: ENTER; All the letters of ENTER are present in the word DEPARTMENT.
Second option: PARENT; All the letters of PARENT are present in the word DEPARTMENT.
Third option: TEMPER; All the letters of TEMPER are present in the word
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