Staff Selection Commission Sub Inspector Exam
Question : On a certain sum of money lent out at 16% p.a. the difference between the compound interest between 1 year, payable half-yearly and the simple interest for 1 year is Rs. 56. The sum is:
Option 1: Rs. 1080
Option 2: Rs. 7805
Option 3: Rs. 8750
Option 4: Rs. 5780
Correct Answer: Rs. 8750
Solution : Let the Principal amount be $P$. Difference between Compound Interest and Simple Interest for 2 terms = $\frac{PR^{2}}{100^{2}}$ where $R$ is the rate of interest per term and $P$ is principal. Here $R$ for six months = $\frac{16}{2}$% = 8% So, 56 = $P[\frac{8^2}{100^2}]$
Question : Which of the following is the correct sequence of river lengths?
Option 1: Ganga, Godavari, Krishna, Yamuna
Option 2: Ganga, Yamuna, Godavari, Krishna
Option 3: Godavari, Krishna, Ganga, Yamuna
Option 4: Godavari, Ganga, Krishna, Yamuna
Correct Answer: Ganga, Godavari, Krishna, Yamuna
Solution : The correct option is Ganga, Godavari, Krishna, Yamuna.
The Ganga, India's longest river, flows approximately 2,525 kilometres. The Yamuna, a major tributary of the Ganga, is around 1,376 kilometres long. The Godavari, spanning about 1,465 kilometres, is the longest peninsular river.
Question : Select the option that can be used as a one-word substitute for the given group of words.
So delicate or precise as to be difficult to analyse or describe
Option 1: Suitable
Option 2: Subtle
Option 3: Complex
Option 4: Anagram
Correct Answer: Subtle
Solution : The correct choice is the second option.
The word that best represents something delicate, intricate, or precise to the point that it becomes challenging to analyse or describe is subtle. It refers to something that is not obvious or easy to detect.
The meanings
Question : In an isosceles triangle PQR, $\angle$P = 130°, If I is the in-centre of the triangle, what is the value of $\angle$QIR?
Option 1: 130°
Option 2: 120°
Option 3: 155°
Option 4: 165°
Correct Answer: 155°
Solution : Given: $\angle$PQR = 130°, I is the incentre of the triangle. So, $\angle$QIR = $90°+\frac{\angle PQR}{2}=90°+\frac{130°}{2}=155°$ Hence, the correct answer is 155°.
Question : Select the INCORRECTLY spelt word.
Option 1: despise
Option 2: describe
Option 3: desire
Option 4: designe
Correct Answer: designe
Solution : The incorrectly spelt word is the fourth option.
"Design" is the correct spelling, and it means to make drawings, preliminary sketches, or plans.
Question : Select the most appropriate meaning of the given idiom.
Know like the back of one's hand
Option 1: to copy another's trade secrets
Option 2: to hit someone with the back of one's hand
Option 3: to have detailed knowledge of something
Option 4: to be unaware of the situation
Correct Answer: to have detailed knowledge of something
Solution : The correct answer is the third option.
Explanation: The idiom know like the back of one's hand, is used to express a high level of familiarity or detailed knowledge about a particular thing. In this case, the phrase like
Question : Who among the following discovered the concept of expanding the universe?
Option 1: Edwin Hubble
Option 2: Carl Edward Sagan
Option 3: Charles Messier
Option 4: Tycho Brahe
Correct Answer: Edwin Hubble
Solution : The correct option is Edwin Hubble.
The concept of an expanding universe was primarily supported by the observations made by astronomer Edwin Hubble. In the 1920s, Hubble observed that galaxies were moving away from each other, and he formulated Hubble's law, which describes the
Question : Simplify the given expression.
$\frac{(3.254 \times 3.254 \times 3.254)-(0.746 \times 0.746 \times 0.746)}{(3.254 \times 3.254)+(0.746 \times 0.746)+(3.254 \times 0.746)}$
Option 1: 3.156
Option 2: 4.508
Option 3: 2.146
Option 4: 2.508
Correct Answer: 2.508
Solution : Given: $\frac{(3.254 \times 3.254 \times 3.254)-(0.746 \times 0.746 \times 0.746)}{(3.254 \times 3.254)+(0.746 \times 0.746)+(3.254 \times 0.746)}$ Let $a=3.254$ and $b=0.746$ = $\frac{a^3-b^3}{a^2+b^2+ab}$ = $\frac{(a-b)(a^2+b^2+ab)}{a^2+b^2+ab}$ = $a-b$ Putting the values, we get: = 3.254 – 0.746 = 2.508 Hence, the correct answer is 2.508.
Question : In which state is the Madai festival celebrated?
Option 1: Jharkhand
Option 2: Jammu and Kashmir
Option 3: Odisha
Option 4: Chhattisgarh
Correct Answer: Chhattisgarh
Solution : The correct option is Chhattisgarh.
The Gond tribal community in Chhattisgarh is connected to the Madai celebration. Celebrated by the Gond tribe, the Madai festival is a cultural and religious occasion that frequently features ancient ceremonies, music, dance and other joyous activities.
Question : The smallest flowering plant is:
Option 1: Wolffia
Option 2: Lemma
Option 3: Azolla
Option 4: Ficus
Correct Answer: Wolffia
Solution : The correct option is Wolffia.
The world's smallest flowering plant is the Wolffia, which belongs to the duckweed family. Wolffia is a genus of tiny, free-floating aquatic plants that are commonly found in calm freshwater environments like ponds and slow-moving streams. These plants are so
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