Staff Selection Commission Combined Higher Secondary Level Exam
Question : Which of the following statements is correct about the value of money?
i. It is directly related to the price level.
ii. It is not related to the price level.
iii. It is indirectly related to the price level.
Option 1: None of the statements are correct
Option 2: Only ii is correct
Option 3: Only iii is correct
Option 4: Only i is correct
Correct Answer: Only iii is correct
Solution : The correct answer is Only iii.
The purchasing power of a unit of money is known as its value, and the average price of all goods and services within an economy is known as its price level. In other words, money loses
Question : If $\mathrm{A}=\cot 30^{\circ} \tan 60^{\circ}+\cot 60^{\circ} \tan 30^{\circ}$, then what is the value of A?
Option 1: $\frac{1}{ \sqrt{ 3}}$
Option 2: $\frac{10}{3}$
Option 3: $\frac{10}{ \sqrt{3}}$
Option 4: $\frac{1}{3}$
Correct Answer: $\frac{10}{3}$
Solution : Given, $\mathrm{A}=\cot 30° \tan 60°+\cot 60° \tan 30°$ Putting values, we get, $=\sqrt3×\sqrt3+\frac{1}{\sqrt3}×\frac{1}{\sqrt3}$ $=3+\frac{1}{3}$ $=\frac{10}{3}$ Hence, the correct answer is $\frac{10}{3}$.
Question : If $\small x+y+z=6$ and $xy+yz+zx=10$, then the value of $x^{3}+y^{3}+z^{3}-3xyz$ is:
Option 1: 36
Option 2: 48
Option 3: 42
Option 4: 40
Correct Answer: 36
Solution : Given: $x+y+z=6$ and $xy+yz+zx=10$ We know that $x^{3}+y^{3}+z^{3}-3xyz=(x + y + z) [(x + y + z)^2 - 3 (x y + y z + z x)]$ Substituting the given values, we get $x^{3}+y^{3}+z^{3}-3xyz$ $=6[6^2-3(10)]=6(36-30)$ $=6\times6=36$ Hence, the correct answer is 36.
Question : Directions: In the following question, select the missing number from the given series. 36, 18, 54, 27, 81, ?, 121.5
Option 1: 40.5
Option 2: 41.5
Option 3: 40
Option 4: 38
Correct Answer: 40.5
Solution : Given: 36, 18, 54, 27, 81, ?, 121.5
The pattern is as follows – 36 ÷ 2 = 18; 18 × 3 = 54; 54 ÷ 2 = 27; 27 × 3 = 81; 81 ÷ 2 = 40.5; 40.5 × 3 = 121.5
So,
Question : Directions: Select the figure from the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given series, the number of regions is increasing consecutively. The number of divided regions in the first figure is 4, in the second figure is 5, in the third figure is 6, and so on. Thus, the required figure will have 7 divided regions.
Question : The Industrial Policy Resolution of 1956 formed the basis of the_________________.
Option 1: Fifth Five Year plan
Option 2: Second Five Year plan
Option 3: Fourth Five Year plan
Option 4: Third Five Year plan
Correct Answer: Second Five Year plan
Solution : The correct option is the Second Five Year Plan.
The Industrial Policy Resolution of 1956 formed the basis of the industrial development strategy in India. This policy laid down the foundation for a mixed economy in India, combining elements of both
Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. 6 : 295 :: 7 : 1400 :: 8 : ?
Option 1: 3099
Option 2: 3095
Option 3: 3093
Option 4: 3090
Correct Answer: 3095
Solution : Given: 6 : 295 :: 7 : 1400 :: 8 : ?
The logic followed here is→(first number)4 – (second number) = 1001 Like, 6 : 295→(6)4 – 295 = 1296 – 295 = 1001 7 : 1400→(7)4 – 1400 = 2401
Question : The radii of two concentric circles are 13 cm and 8 cm. AB is the diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. The length of AD is:
Option 1: 20 cm
Option 2: 19 cm
Option 3: 18 cm
Option 4: 17 cm
Correct Answer: 19 cm
Solution : Let the line BD intersect the bigger circle at point C. Join AC. OD $\perp$ BD ⇒ OD $\perp$ BC So, BD = DC ⇒ D is the midpoint of BC. Also, O is the midpoint of AB. In $\triangle$BAC, O is the midpoint
Question : Simply the given expression: (5p + 3q)(5p – 3q)
Option 1: 25p2 – 9q2 + 30pq
Option 2: 25p2 – 9q2
Option 3: 25p2 + 9q2
Option 4: 25p2 + 9q2 – 30pq
Correct Answer: 25p2 – 9q2
Solution : Given: (5p + 3q)(5p – 3q) = (5p)2 – (3q)2 = 25p2 – 9q2 Hence, the correct answer is 25p2 – 9q2.
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark "No error" as your answer.
He speaks pleasantly / with her yesterday / evening but not today
Option 1: He speaks pleasantly
Option 2: with her yesterday
Option 3: No error
Option 4: evening but not today.
Correct Answer: He speaks pleasantly
Solution : The correct choice is the first option.
Explanation: The error is in the use of the present tense "speaks" with the time expression "yesterday". When referring to a specific past time, the past tense should be used.
So, the correct sentence would
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
