Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 1, 6, 15, ?, 45, 66
Option 1: 26
Option 2: 24
Option 3: 28
Option 4: 23
Correct Answer: 28
Solution : Given: 1, 6, 15, ?, 45, 66
Add the numbers with the difference of 4 to the previous term to obtain the next term. 1 + 5 = 6; 6 + (5 + 4) = 6 + 9 = 15; 15 + (9 + 4)
Question : What is the unit digit of $(217)^{413}\times (819)^{547}\times (414)^{624}\times (342)^{812}$?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 8
Solution : Given: (217)413 × (819)547 × (414)624 × (342)812 Solution: The cyclicity of 7 is 4. The cyclicity of 9 is 2. The cyclicity of 4 is 2. The cyclicity of 2 is 4. According to the cyclicity theorem, divide the powers
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
He walked (1) / till the (2) / end of the street. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence due to the use of "till" instead of "to".
The preposition "till" should be replaced by "to" in the sentence as "to" is the appropriate preposition to indicate the destination of his walk, which is
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: HJNU
Option 2: TXBG
Option 3: ACGN
Option 4: PRVC
Correct Answer: TXBG
Solution : Let's check the given options – First option: HJNU; H + 2 = J; J + 4 = N; N + 7 = U Second option: TXBG; T + 2 = V; X + 4 = B; B + 7 = I Third option: ACGN;
Question : Pleura is the covering of
Option 1: Lung
Option 2: Liver
Option 3: Kidney
Option 4: Heart
Correct Answer: Lung
Solution : The correct answer is lungs.
Pleural membrane is the covering of lungs. It is a double layered serous membrane also known as pleural sac. The outer layer is known as parietal pleura which is attached to the chest wall and diaphragm and the inner layer
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. Portugal : Lisbon
Option 1: Mozambique : Matola
Option 2: Turkey : Istanbul
Option 3: New Zealand : Canberra
Option 4: Italy : Rome
Correct Answer: Italy : Rome
Solution : Given: Portugal : Lisbon (Here, Lisbon is the capital of Portugal.)
Let's check the options – First option: Mozambique : Matola; Matola is not the capital of Mozambique. It is a city in Mozambique. Second option: Turkey : Istanbul; Istanbul is not the
Question : The orthocentre of a triangle lies on one of the sides. Then:
Option 1: The orthocentre lies on a vertex
Option 2: Circumcentre lies outside the triangle
Option 3: Circumcentre lies on the same side
Option 4: Centroid coincides with orthocentre
Correct Answer: The orthocentre lies on a vertex
Solution : If the orthocentre of a triangle lies on the side, then it lies on the vertex. Hence, the correct answer is 'The orthocentre lies on a vertex.'
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
An unwritten constitution develops and expands with the development of the nation and ultimately becomes the _____ of public opinion.
Option 1: symbol
Option 2: motion
Option 3: role
Option 4: badge
Correct Answer: symbol
Solution : The correct answer is the first option, "symbol".
Symbol means a thing that represents or stands for something else, and in this case, it stands for public opinion, which makes it the appropriate choice according to the context of the sentence.
The meanings of the
Question : $D$ is a point on the side $BC$ of a triangle $ABC$ such that $AD\perp BC$. $E$ is a point on $AD$ for which $AE:ED=5:1$. If $\angle BAD=30^{\circ}$ and $\tan \left ( \angle ACB \right )=6\tan \left ( \angle DBE \right )$, then $\angle ACB =$
Option 1: $30^{\circ}$
Option 2: $45^{\circ}$
Option 3: $60^{\circ}$
Option 4: $15^{\circ}$
Correct Answer: $60^{\circ}$
Solution :
Given that $AE:ED=5:1$, $\angle BAD=30^{\circ}$ and $\tan \left ( \angle ACB \right )=6\tan \left ( \angle DBE \right )$ Let $AE$ and $ED$ be $5x,x$. So, $DE=x, AE=5x$ and $AD=6x$ In $\triangle ABD$, $\angle ABD+\angle BAD=90^{\circ}$ ⇒ $\angle ABD =90^{\circ}-\angle BAD$ ⇒ $\angle ABD =90^{\circ}-30^{\circ}=60^{\circ}$
Question : The angle of elevation of an aeroplane as observed from a point 30 metres above the transparent water surface of a lake is 30° and the angle of the depression of the image of the aeroplane in the water of the lake is 60°. The height of the aeroplane from the water surface of the lake is:
Option 1: 60 metres
Option 2: 45 metres
Option 3: 50 metres
Option 4: 75 metres
Correct Answer: 60 metres
Solution : AB = transparent water surface then according to question, $\triangle$CPM = 30°; $\angle$C'PM = 60° CM = $h$ CB = Height of the aeroplane from the water surface of the lake = $h + 30$ $\therefore$ C'B = $h + 30$ In $\triangle$CMP, tan
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
