Staff Selection Commission Sub Inspector Exam
Question : Which of the following is not a revenue receipt by the government?
Option 1: Cash grants-in-aid from foreign countries and international organisations.
Option 2: Sale of government assets.
Option 3: Fees and other receipts for services rendered by the government.
Option 4: Dividends and profits on investments made by the government.
Correct Answer: Sale of government assets.
Solution : The correct option is the Sale of government assets.
The sale of government assets is typically considered a capital receipt rather than a revenue receipt. Capital receipts involve transactions that either increase the government's liabilities or reduce its assets. Selling government assets
Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term. 12 : 64 :: ? : 116 :: 32 : 144
Option 1: 25
Option 2: 46
Option 3: 35
Option 4: 14
Correct Answer: 25
Solution : Given: 12 : 64 :: ? : 116 :: 32 : 144
Multiply the given number by 4 and then add 16 to the resultant number to obtain the missing term – Here, 12 : 64→(12 × 4) + 16 = 48 + 16 =
Question : The 90-degree East Meridian does not pass through:
Option 1: Sikkim
Option 2: Meghalaya
Option 3: Bangladesh
Option 4: Bhutan
Correct Answer: Sikkim
Solution : The correct answer is Sikkim.
From the North Pole to the South Pole, a line of longitude known as the meridian 90° east of Greenwich runs. To reach the South Pole, it travels through Antarctica, Asia, the Indian and Southern Oceans and the Arctic
Question : Directions: In the following question, select the related number from the given alternatives. 30 : 130 :: ? : ?
Option 1: 20 : 120
Option 2: 37 : 210
Option 3: 42 : 222
Option 4: 49 : 350
Correct Answer: 20 : 120
Solution : Given: 30 : 130 :: ? : ?
Here, the difference between the numbers of both pairs is 100. 30 : 130→130 – 30 = 100 Let's check the options – First option: 20 : 120→120 – 20 = 100 Second option: 37
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.
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