Staff Selection Commission Sub Inspector Exam
Question : Stress can be defined as _____ quantity.
Option 1: scalar
Option 2: vector
Option 3: phasor
Option 4: tensor
Correct Answer: tensor
Solution : The correct option is tensor.
Stress can be defined as a tensor quantity. The stress tensor, a second-order tensor that is the distribution of internal forces within a material, represents stress. This tensor contains magnitude and direction information and is used to investigate how
Question : A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of $x$?
Option 1: 10.5
Option 2: 3.5
Option 3: 7
Option 4: 21
Correct Answer: 10.5
Solution : The volume of the sphere = $\frac {4}{3}\pi r^3$, Volume of a cone = $\frac{1}{3}\pi r^2h$, where $r$ = radius, $h$ = height According to the question, $\frac {4}{3}\pi r^3= 126 × \frac{1}{3}\pi r^2h$ ⇒ $x^{3} = \frac{126}{4} × 3.5 × 3.5 × 3$ ⇒
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
(P) No method of making other (Q) people agree to (R) your viewpoint is as effective as this method. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error is in part (P) marked by the first option.
"No method of making" should be replaced with "no other method of making" as "other" indicates something different or additional.
So, the correct sentence would be: "No other method of making other people
Question : The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q invests for 2 years. What is the ratio of profit of P and Q?
Option 1: 3 : 5
Option 2: 4 : 7
Option 3: 2 : 5
Option 4: 1 : 2
Correct Answer: 2 : 5
Solution : The ratio of investment of P and Q = 4 : 5 Time ratio (in years) = 1 : 2 The profit ratio is equal to the product of investment and time ratio. So, the profit ratio of P and Q = (4
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. All pictures are in colour. II. No colour is black. Conclusions: I. Some pictures are black. II. No picture is black.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some pictures are black – Because there is a negative relation between pictures and black through the colour. So, no positive relation
Question : If $P=\frac{(\sqrt7-\sqrt6)}{(\sqrt7+\sqrt6)}$, then what is the value of $(P+\frac{1}{P})?$
Option 1: 12
Option 2: 13
Option 3: 24
Option 4: 26
Correct Answer: 26
Solution : $P=\frac{(\sqrt7-\sqrt6)}{(\sqrt7+\sqrt6)}$ $P=\frac{(\sqrt7-\sqrt6)}{(\sqrt7+\sqrt6)}\times \frac{(\sqrt7-\sqrt6)}{(\sqrt7-\sqrt6)}$ $P=7+6-2\sqrt{42} = 13-2\sqrt{42}$ $\frac{1}{P} = \frac{1}{13-2\sqrt{42}}\times \frac{13+2\sqrt{42}}{13+2\sqrt{42}}$ $P=13+2\sqrt{42}$ $P+\frac{1}{P} = 13-2\sqrt{42}+13+2\sqrt{42}=26$ Hence, the correct answer is 26.
Question : In the context of NITI Aayog, what does "T" stand for in NITI?
Option 1: Travelling
Option 2: Training
Option 3: Transforming
Option 4: Transferring
Correct Answer: Transforming
Solution : The correct answer is Transforming.
NITI Aayog stands for the National Institution for Transforming India and is a policy think tank of the central government which provides guidelines and inputs regarding the different programmes, initiatives and policies of the government. Niti Aayog was formed
Question : Regarding taxonomic categories, the term "Mammalia" is a/an____________.
Option 1: class
Option 2: family
Option 3: order
Option 4: phylum
Correct Answer: class
Solution : The correct option is class.
Concerning taxonomic categories, the term "Mammalia" is a class. In the hierarchical classification system, living organisms are grouped into a series of taxonomic ranks and "Mammalia" is one of these ranks at the class level. The class Mammalia includes
Question : Mehrgarh, a Neolithic settlement, is situated in the ______ province of Pakistan.
Option 1: Punjab
Option 2: Balochistan
Option 3: Khyber Pakhtunkhwa
Option 4: Sindh
Correct Answer: Balochistan
Solution : The correct option is Balochistan.
Located in Pakistan's Balochistan province, Mehrgarh is a notable archaeological site which represents a Neolithic village of the ancient Indus Valley Civilization. Pakistan's southwest province is called Balochistan and Mehrgarh is situated in the Kachi Plain close to the
Question : How many balls are there in an over in cricket?
Option 1: 4
Option 2: 6
Option 4: 5
Correct Answer: 6
Solution : The correct answer is 6.
There are six balls in an over in cricket. Each ball must be bowled by the same bowler unless the bowler who starts the over gets injured mid-way through. An extra delivery will be added to the end of
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