Staff Selection Commission Combined Graduate Level Exam
Question : A cyclist rides 20 km in 120 minutes and rides another 25 km in 150 minutes. What is the average speed of the cyclist, in km/h?
Option 1: 15
Option 2: 11
Option 3: 10
Option 4: 12.5
Correct Answer: 10
Solution : Total distance covered = 20 km + 25 km = 45 km Total time taken = 120 minutes + 150 minutes = 270 minutes = $\frac{9}{2}$ hours Average Speed = $\frac{\text {Total distance}}{\text {Total time taken}}=\frac{45}{\frac{9}2} = 10$ km/h. Hence, the correct answer is 10.
Question : Directions: Three Statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All bottles are containers. Some containers are buckets. All buckets are soaps. Conclusions: I. Some soaps are bottles. II. Some buckets are bottles. III. Some soaps are containers.
Option 1: Only conclusion I follows
Option 2: All conclusions follow
Option 3: Only conclusion II follows
Option 4: Only conclusion III follows
Correct Answer: Only conclusion III follows
Solution : According to the statements, the following diagram can be drawn –
Let's analyse the conclusions – Conclusion I: Some soaps are bottles – From the above diagram, it is evident that there is no direct relation between bottles and soap. So, no
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (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.) (24, 9, 21) (34, 16, 33)
Option 1: (34, 8, 28)
Option 2: (53, 6, 34)
Option 3: (43, 17, 41)
Option 4: (42, 9, 30)
Correct Answer: (42, 9, 30)
Solution : Given: (24, 9, 21); (34, 16, 33)
Here, (24, 9, 21)→(24 ÷ 2) + 9 = 12 + 9 = 21 (34, 16, 33)→(34 ÷ 2) + 16 = 17 + 16 = 33
Let's check the options – First option: (34, 8,
Question : Select the most appropriate ANTONYM of the underlined word. The concert sounded was in cacophony with every instrument playing in synchronisation.
Option 1: harmony
Option 2: alimony
Option 3: bedlam
Option 4: euphony
Correct Answer: harmony
Solution : The correct choice is the first option.
Explanation: In the given context, cacophony refers to a harsh, discordant mixture of sounds. The antonym harmony contrasts with this by representing a pleasing arrangement of sounds where everything works together in a synchronised and pleasant manner.
Question : Direction: C – 3 , E – 5 , G – 7 , I – 9 , ? , ?
Option 1: M – 18 , K – 14
Option 2: X – 24 , M – 21
Option 3: K – 11 , M – 13
Option 4:
O – 15 , X – 24
Correct Answer: K – 11 , M – 13
Solution : Given:
C – 3, E – 5, G – 7, I – 9, ?, ?
Here, in the series, the letters and their corresponding positions are written.
Now, let's check the options:
First option: M – 18, K –
Question : Sarus crane is the state bird of:
Option 1: Rajasthan
Option 2: Uttar Pradesh
Option 3: Madhya Pradesh
Option 4: West Bengal
Correct Answer: Uttar Pradesh
Solution : The correct answer is Uttar Pradesh.
Sarus Crane is found in Indian subcontinent, South east asia and Australia. They are declared as the state bird of Uttar Pradesh in 2014. It is the tallest flying bird in the world and is inhabited to wet
Question : The area of a circle is $324\pi$ square cm. The length of its longest chord (in cm) is:
Option 1: 36
Option 2: 28
Option 3: 38
Option 4: 32
Correct Answer: 36
Solution : Given: Area of circle = $324\pi$ sq. cm Let the radius of the circle be $r$ cm. ⇒ $\pi r^2= 324\pi$ ⇒ $r^2= 324$ ⇒ $r=18$ We know that the longest chord of the circle is the diameter. So, the longest chord = 2 ×
Question : In a team of 10 persons, nine spent Rs. 40 each for their meal, and the remaining one spent Rs. 9 more than the average expenditure of all the 10 persons. The total expenditure for their meal was:
Option 1: Rs. 510
Option 2: Rs. 310
Option 3: Rs. 410
Option 4: Rs. 610
Correct Answer: Rs. 410
Solution : Let the total expenditure for their meal be Rs. $x$. According to the question: $x = 9×40+(9+\frac{x}{10})$ ⇒ $x = 360+9+\frac{x}{10}$ ⇒ $x-\frac{x}{10} = 369$ ⇒ $\frac{9x}{10} = 369$ $\therefore x = 410$ Hence, the correct answer is Rs. 410.
Question : Given below are four jumbled sentences. Select the option that gives their correct order. A. They were mysterious visitors who brought gifts to the babe in the manger. B. The Magi were wise men. C. Being wise, their gifts were no doubt wise ones. D. It was from there that the tradition of giving Christmas gifts began.
Option 1: BDCA
Option 2: BACD
Option 3: DCAB
Option 4: CBDA
Correct Answer: BACD
Solution : The correct choice is the second option.
The logical flow of information is as follows:
Question : Reflection of the point (4, –6) in the origin is:
Option 1: (4, 6)
Option 2: (–4, –6)
Option 3: (–4, 6)
Option 4: (4, –6)
Correct Answer: (–4, 6)
Solution : The reflection of the point (a, b) in the origin is (–a, –b). So, the reflection of (4, –6) in the origin = (–4, 6) Hence, the correct answer is (–4, 6).
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