Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Select the option that is related to the fifth number in the same way as the first number is related to the second number and the third number is related to the fourth number. 12 : 36 :: 18 : 81 :: 56 : ?
Option 1: 784
Option 2: 961
Option 3: 841
Option 4: 900
Correct Answer: 784
Solution : Given: 12 : 36 :: 18 : 81 :: 56 : ?
Like, 12 : 36→12 ÷ 2 = 6; 62 = 36 And, 18 : 81→18 ÷ 2 = 9; 92 = 81 Similarly, follow the same pattern for 56 : ?→56
Question : Which of the following does not come under legislative control over administration ?
Option 1: Zero hour
Option 2: Adjoumment motion
Option 3: Budget session
Option 4: Formulation of a Bill
Correct Answer: Budget session
Solution : The correct answer is Budget session.
Parliament exerts authority on public administration in a variety of ways. Control of administrative policies; control of appropriation; audit and report; interpolations-parliamentary questions; zero hour discussion, calling attention motions, brief note discussions, adjournment motions; debates and committees of
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
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