Staff Selection Commission Combined Higher Secondary Level Exam
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.
Question : A and B working separately can do a piece of work in 9 and 15 days respectively. If they work on alternate days, starting with A, then the work will be completed in:
Option 1: 10 days
Option 2: 11 days
Option 3: 9 days
Option 4: 12 days
Correct Answer: 11 days
Solution : Given: A and B working separately can do a piece of work in 9 and 15 days respectively. They work on alternate days, starting with A. Let the total work = LCM of 9 and 15 = 45 units A’s 1 day work =
Question : The total surface area of a solid hemisphere of diameter 14 cm is (use $\pi=\frac{22}{7}$ ):
Option 1: 522 cm2
Option 2: 462 cm2
Option 3: 428 cm2
Option 4: 584 cm2
Correct Answer: 462 cm2
Solution : Diameter = 14 cm Radius, $r = \frac{14}{2} = 7$ cm The total surface area of a hemisphere = $3\pi r^2= 3 \times \frac{22}{7} \times 7^2 = 462$ cm2 Hence, the correct answer is 462 cm2.
Question : Who introduced the Mansabdari system into the administration under the Mughals?
Option 1: Akbar
Option 2: Shah Jahan
Option 3: Aurangzeb
Option 4: Jahangir
Correct Answer: Akbar
Solution : The correct option is Akbar.
The Mansabdari system, introduced by Akbar, was unique to the Mughal Empire's civil and military administrative systems. Under this system, each officer was awarded a rank. The lower rank was ten, and the highest was 5000 for the nobles; near
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