Staff Selection Commission Combined Graduate Level Exam
Question : Which of the following water bodies is not a fresh water resource ?
Option 1: Jaisamand
Option 2: Ganga river
Option 3: Yamuna river
Option 4: Chilika lake
Correct Answer: Chilika lake
Solution : The correct answer is Chillika lake.
Geographically water bodies are divided into freshwater, brackish water and salt water lakes according to their salt content. The criteria is as follows-
Question : The reciprocal of the sum of the reciprocals of $\frac{2}{9}$ and $\frac{7}{10}$ is:
Option 1: $\frac{14}{83}$
Option 2: $\frac{83}{14}$
Option 3: $\frac{90}{83}$
Option 4: $\frac{83}{90}$
Correct Answer: $\frac{14}{83}$
Solution : Reciprocal of $\frac{2}{9}=\frac{9}{2}$ Reciprocal of $\frac{7}{10}=\frac{10}{7}$ Their sum = $(\frac{9}{2}+\frac{10}{7})=(\frac{63+20}{14} )=(\frac{83}{14} )$ $\therefore$ Reciprocal of the Sum = $\frac{14}{83}$ Hence, the correct answer is $\frac{14}{83}$.
Question : The volume of a sphere of radius 4.2 cm is: (Use $\pi=\frac{22}{7}$)
Option 1: 278.234 cm3
Option 2: 312.725 cm3
Option 3: 297.824 cm3
Option 4: 310.464 cm3
Correct Answer: 310.464 cm3
Solution : The volume $V$ of a sphere with radius $r$ is $V = \frac{4}{3} \pi r^3$ Putting $r = 4.2 \, \text{cm}$ and $\pi = \frac{22}{7}$. $V = \frac{4}{3} \times \frac{22}{7} \times (4.2)^3=310.464 \, \text{cm}^3$ Hence, the correct answer is 310.464 cm3.
Question : What is the remainder when 8127 is divided by 8?
Option 1: 5
Option 2: 7
Option 3: 4
Option 4: 6
Correct Answer: 7
Solution : We can write 8127 as a sum of 8000 + 120 + 7. Here, 8000 and 120 are divisible by 8. So, the remainder = 7 Hence, the correct answer is 7.
Question : Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After simultaneously starting the race from the same point, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is the same as the length of the track)
Option 1: 7.5 minutes
Option 2: 16 minutes
Option 3: 30 minutes
Option 4: 22.5 minutes
Correct Answer: 16 minutes
Solution : Let the speed of Shyam be $x$ metre/minute and the speed of Ram be 3$x$ metre/minute. Relative speed = 3$x$ – $x$ = 2$x$ metre/minute Distance = Relative speed × Time ⇒ 1440 = 2$x$ × 8 ⇒ $x$ = 90 metre/minute Time taken
Question : A number $n$ when divided by 6, leaves a remainder of 3. What will be the remainder when $\left(n^2+5 n+8\right)$ is divided by 6?
Option 1: 1
Option 2: 3
Option 3: 5
Option 4: 2
Correct Answer: 2
Solution : Euclid's Division Lemma, Dividend = Divisor × Quotient + Remainder Number = $n$ So, according to Euclid's Division Lemma $n= 6q+ 3$ where $n$ is dividend and $q$ is quotient. Also, $(n^2 + 5n + 8)$ when divided by 6 leaves a remainder, say $r$.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (9, 18, 324); (14, 11, 308) (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.)
Option 1: (14, 15, 320)
Option 2: (11, 12, 268)
Option 3: (7, 12, 168)
Option 4: (8, 13, 206)
Correct Answer: (7, 12, 168)
Solution : Given: (9, 18, 324); (14, 11, 308)
The pattern is as follows – (9, 18, 324)→(9 × 18) × 2 = 162 × 2 = 324 (14, 11, 308)→(14 × 11) × 2 = 154 × 2 = 308 Let's check the options
Question : Directions: Select the figure that will come in place of the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given image series, three things are simultaneously happening. 1. Letters are consecutively increasing in the alphabetical order. 2. Letters are moving in the clockwise direction. 3. The number of curly brackets on the left side is decreasing by one and on the right side
Question : Which theory discusses the relationship between ligand bonding and degradation of d orbitals in metal complexes and the geometry of metal complexes and the splitting of d orbitals?
Option 1: Crystal field theory (CFT)
Option 2: Ligand field theory (LFT)
Option 3: Valence bond theory (VBT)
Option 4: Molecular orbital theory (MOT)
Correct Answer: Crystal field theory (CFT)
Solution : The correct option is Crystal field theory (CFT).
Crystal field theory (CFT) determines how the arrangement of ligands around a metal ion influences the energy levels of its d orbitals, leading to the splitting of these orbitals into different energy states. This
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".
This is the first car for our neighbour Mr Sharma who (1) / has a hard time balancing his wife (2) / and kids on his old scooter. (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.
It should be "of our neighbour" as "of" shows ownership or possession and "for" is used for disclosing distance, quantity, and duration of time, and it is used to relate the noun to an object. So, there
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