Staff Selection Commission Combined Graduate Level Exam
Question : Two persons started running on a circular track at a speed of 20 m/s and 30m/s in opposite directions. If the circumference of the circular track is 100 m, find how many distinct points they will cross each other.
Option 1: 2
Option 2: 3
Option 3: 5
Option 4: 10
Correct Answer: 5
Solution : The ratio of the speed of both of the runners = 20 : 30 = 2 : 3 So, they will meet 5 times. (sum of the ratio of their speeds) Hence, the correct answer is 5.
Question : In the figure BCDE is a square and ABC is equilateral triangle then $\angle \mathrm{ADC}$ is:
Option 1: 45°
Option 2: 30°
Option 3: 60°
Option 4: 15°
Correct Answer: 15°
Solution :
According to the question, $\angle BCD = 90° $and $\angle ACB = 60°$ $\angle ACD = (90 + 60)° = 150°$ Now, AB = BC = AC (∵ ABC is an equilateral triangle) Also, BC = CD = DE = EB (∵ BCDE is a
Question : In hockey, _______ is awarded if the ball goes over the back line after last being touched by a defender.
Option 1: long corner
Option 2: offside
Option 3: free hit
Option 4: penalty corner
Correct Answer: long corner
Solution : The correct option is the long corner.
In hockey, a long corner is awarded if the ball goes over the back line after last being touched by a defender. Hockey is typically played on a grass or artificial turf field. It involves two teams
Question : If, in a competitive exam, the marks obtained by Sam are 19% less than those of Peter, then the marks obtained by Peter are how much percentage more than the marks obtained by Sam? (Correct to two decimal places)
Option 1: 28.64%
Option 2: 22.25%
Option 3: 21.50%
Option 4: 23.46%
Correct Answer: 23.46%
Solution : Let the marks of Peter be $100$. $\therefore$ Marks obtained by sam = $\frac{(100-19)}{100}\times 100=\frac{81}{100}\times 100 = 81$ Now, the percentage of marks obtained by Peter is more than that of Sam's = $\frac{19}{81}\times 100$ = $23.46{\%}$ Hence, the correct answer is 23.46%.
Question : Identify the segment in the sentence which contains a grammatical error.
Neither Sam nor I are interested in attending the meeting.
Option 1: in attending
Option 2: Neither Sam nor I
Option 3: are interested
Option 4: the meeting
Correct Answer: are interested
Solution : The correct choice is the third option.
Explanation: The subject-verb agreement is incorrect in this sentence. When "Neither... nor" connects two subjects, the verb agrees with the closer subject. In this case, "I" is closer to the verb "are." However, "I" is a
Question : If $\tan \alpha = 6$, then $\sec \alpha$ is equal to:
Option 1: $\sqrt{7}$
Option 2: $\sqrt{5}$
Option 3: $\sqrt{37}$
Option 4: $\sqrt{35}$
Correct Answer: $\sqrt{37}$
Solution : Given: $\tan \alpha=6$ We know, $\sec^2 \alpha-\tan^2 \alpha=1$ ⇒ $\sec^2 \alpha-6^2=1$ ⇒ $\sec^2 \alpha=36+1$ $\therefore \sec \alpha=\sqrt{37}$ Hence, the correct answer is $\sqrt{37}$.
Question : Directions: Four different positions of the same dice are shown, the six faces of which are numbered 1 to 6. Select the number that will be on the face opposite to the one showing 4.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : According to the dice rule, if two positions of the same dice are given with two common faces but in different orientations, then out of those two common faces, the faces that are not common are opposite to each other.
Thus, the face opposite to
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.) (5, 30, 60) (11, 66, 132)
Option 1: (6, 42, 148)
Option 2: (14, 84, 168)
Option 3: (14, 16, 118)
Option 4: (2, 10, 16)
Correct Answer: (14, 84, 168)
Solution : Given: (5, 30, 60); (11, 66, 132)
Here, (5, 30, 60)→5 × 6 = 30; 30 × 2 = 60 (11, 66, 132)→11 × 6 = 66; 66 × 2 = 132
Let's check the options – First option: (6, 42, 148)→6
Question : What is the name of a group of similar cells performing a specific function?
Option 1: Tissue
Option 2: Organ
Option 3: Organ system
Option 4: Cellular organisation
Correct Answer: Tissue
Solution : The correct option is Tissue
Tissues in multicellular animals refer to assemblies of cells working collectively to carry specific functions. They represent the foundational units that compose organs in intricate organisms such as humans, playing vital roles in upholding the body's form and operational capacity.
Question : What is the mode of the given data? 5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
Option 1: 7
Option 2: 6
Option 4: 3
Correct Answer: 7
Solution : Given: 5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7 In the given data 7 appears 5 times, which is the highest. So, mode = 7 Hence, the correct answer is 7.
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