Staff Selection Commission Combined Higher Secondary Level Exam
Question : The contractile proteins in a muscle are
Option 1: Actin and Myosin
Option 2: Actin and Tropomyosin
Option 3: Myosin and Troponin
Option 4: Troponin and Tropomyosin
Correct Answer: Actin and Myosin
Solution : The correct option is - Actin and myosin.
The contractile proteins in a muscle refer primarily to two types of proteins: actin and myosin. Actin is a globular protein that forms thin filaments in muscle fibers. These filaments are involved in muscle contraction
Question : Rice worth INR 504 per kg and INR 540 per kg are mixed with the third variety in the ratio 1 : 1 : 2. If the mixture is worth INR 612 per kg, find the price (per kg in INR) of the third variety.
Option 1: 630
Option 2: 702
Option 3: 764
Option 4: 522
Correct Answer: 702
Solution : Cost of first variety = INR 504 The cost of the second variety = INR 540 The ratio in which rice varieties are mixed = 1 : 1 : 2 Let INR $x$ be the cost of the third variety. Cost of mixed variety =
Question : The ratio of the volume of the first and second cylinders is 32 : 9 and the ratio of their heights is 8 : 9. If the area of the base of the second cylinder is 616 cm2, then what will be the radius of the first cylinder?
Option 1: 24 cm
Option 2: 20 cm
Option 3: 28 cm
Option 4: 36 cm
Correct Answer: 28 cm
Solution : Volume of cylinder = $\pi r^2h$ The volume of the cylinder can be written as $32y$ and $9y$ The height of the cylinder can be written as $8h$ and $9h$ Since we know that the volume of the cylinder = Area of the base
Question : If the simple interest on a certain sum of money is INR 11,220 at the rate of $16 \frac{1}{2} \%$ per annum for 8 years and 3 months, then what is the principal amount (in INR, rounded off to the nearest rupee)?
Option 1: 4,228
Option 2: 6,822
Option 3: 8,422
Option 4: 8,242
Correct Answer: 8,242
Solution : Simple interest (SI)= $\frac{\text{Principal × Rate × Time}}{100}$ SI = INR 11,220 Rate = $16\frac{1}{2}$ = $\frac{33}{2}$% Time = 8 years 3 months = $8\frac{3}{12}$ = $8\frac{1}{4}$ = $\frac{33}{4}$ According to the question, 11220 = $\frac{\text{P×33×33}}{100×2×4}$ ⇒ P = $\frac{11220×800}{1089}$ = $\frac{8976000}{1089}$ = 8242.424 =
Question : Directions: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$
Option 1: 12
Option 2: 22
Option 3: 21
Option 4: 24
Correct Answer: 21
Solution : Given: If $\sqrt{AFI}\ :\ 13\ ::\ \sqrt{DDA}\ :\ ?$
The position values of A, F, and I are 1, 6, and 9 respectively. On combining the place values, we get 169. Now, $\sqrt{169}\ =\ 13$ Thus, $\sqrt{AFI}$ is coded as 13. Similarly, follow the same
Question : If the distance between the centres of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is:
Option 1: $9$
Option 2: $\sqrt{143}$
Option 3: $\sqrt{63}$
Option 4: $7$
Correct Answer: $\sqrt{63}$
Solution : Given, the distance between the centres of two circles is 12 cm ($d$) and the radii are 5 cm ($r_1$) and 4 cm ($r_2$). Length of the transverse common tangent line to the circle = $\sqrt{d^2-(r_1+r_2)^2}$ = $\sqrt{12^2-(5+4)^2}$ = $\sqrt{144-81}$ = $\sqrt{63}\ \text{cm}$ Hence, the
Question : Sixteen years ago, my grandfather was 9 times older than me. Eight years from now, he will be 3 times my age. Determine the ratio of my age to my grandfather's age eight years ago.
Option 1: 3 : 8
Option 2: 2 : 5
Option 3: 1 : 2
Option 4: 1 : 5
Correct Answer: 1 : 5
Solution : 16 years ago, let my age and my grandfather's age be $x$ years and $9x$ years respectively. According to the question, $9x+16+8=3(x+16+8)$ ⇒ $9x+24=3x+48+24$ ⇒ $6x=48$ ⇒ $x=8$ Required ratio 8 years ago, = $(x+8):(9x+8)$ = (8 + 8) : (9 × 8
Question : When a body is immersed in a liquid, the force acting on it is:
Option 1: Upthrust
Option 2: Weight
Option 3: Mass
Option 4: Both 1 and 2
Correct Answer: Both 1 and 2
Solution : The correct option is Both 1 and 2.
When a body is immersed in a liquid, it is subjected to two major forces. The first is the weight of the body, which pulls it downward owing to gravity. Upthrust (buoyant force)
Question : Which article of the Indian Constitution deals with the formation of new states and the alteration of areas, boundaries or names of existing states?
Option 1: 6
Option 2: 4
Option 3: 3
Option 4: 5
Correct Answer: 3
Solution : The correct option is 3.
The formation of new states and the alteration of areas, boundaries, or names of existing states in India are primarily governed by Article 3 of the Indian Constitution. Article 3 empowers the Parliament of India to make laws regarding
Question : Directions: In the following question, out of the four alternatives, select the one that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Viren plays hockey and football (too)
(1) both
(2) also
(3) even
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The fourth option is the correct choice.
''Too'' is used correctly in the sentence indicating that Viren plays both hockey and football.
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