Staff Selection Commission Sub Inspector Exam
Question : Directions: In the given question, select the related letter from the given alternatives. D : B :: I : C :: P : D :: ? : ?
Option 1: Y : E
Option 2: X : E
Option 3: Y : D
Option 4: Z : E
Correct Answer: Y : E
Solution : Given: D : B :: I : C :: ? : ?
Like, (D : B); Position value of D→4, 4 is the perfect square of 2; 2→B Thus, D is related to B. (I : C); Position value of I→9, 9 is
Question : ABC is a right-angled triangle with AB = 6 cm and BC = 8 cm. A circle with centre O has been inscribed inside $\triangle ABC$. The radius of the circle is:
Option 1: 1 cm
Option 2: 2 cm
Option 3: 3 cm
Option 4: 4 cm
Correct Answer: 2 cm
Solution : Let x be the radius of the circle. In the right-angled $\triangle$ ABC, AC2 = AB2 + BC2 (by Pythagoras Theorem) ⇒ AC2 = 62 + 82 ⇒ AC2 = 36 + 64 ⇒ AC2 =
Question : The headquarters of the National Remote Sensing Centre (NRSC) is located at:
Option 1: Hyderabad
Option 2: Kolkata
Option 3: Bengaluru
Option 4: Mumbai
Correct Answer: Hyderabad
Solution : The correct answer is Hyderabad.
The headquarters of the National Remote Sensing Centre (NRSC) is located in Hyderabad, Telangana. The NRSC is a key organisation under the Indian Space Research Organisation (ISRO) that focuses on remote sensing satellite data acquisition and processing.
Question : The Simple Interest on a sum of money is $\frac{1}{4}$ of the principal, and the number of years is equal to the rate percent per annum. The rate percent is:
Option 1: 2.5%
Option 2: 5%
Option 3: 7.5%
Option 4: 10%
Correct Answer: 5%
Solution : Let the rate and time be $x$. Given: SI = $\frac{1}{4}P$ By using the formula of Simple Interest: SI = $\frac{\text{P×R×T}}{100}$ where $P$ is principal, $T$ is time in years and $R$ is the rate of interest per annum. $\frac{1}{4}P$ = $\frac{P×x×x}{100}$ ⇒ $x^2$ =
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: SUPT
Option 2: JLGK
Option 3: EHBG
Option 4: PRMQ
Correct Answer: EHBG
Solution : Let's check the options –
First option: SUPT→S + 2 = U; U – 5 = P; P + 5 = T Second option: JLGK→J + 2 = L; L – 5 = G; G + 4 = K Third option: EHBG→E + 3 =
Question : What is the height of the badminton net?
Option 1: 6 feet
Option 2: 6.5 feet
Option 3: 5.1 feet
Option 4: 5.5 feet
Correct Answer: 5.1 feet
Solution : The correct option is 5.1 feet.
The standard height of a badminton net is 5 feet 1 inch (1.55 metres) at the edges and 5 feet (1.524 metres) at the centre. The net is set at this height when the posts are placed
Question : The sides AB, BC, and AC of a $\triangle {ABC}$ are 12 cm, 8 cm, and 10 cm respectively. A circle is inscribed in the triangle touching AB, BC, and AC at D, E, and F respectively. The difference between the lengths of AD and CE is:
Option 1: 4 cm
Option 2: 5 cm
Option 4: 2 cm
Correct Answer: 4 cm
Solution : Given: The sides AB, BC, and AC of a $\triangle {ABC}$ are 12 cm, 8 cm, and 10 cm respectively. Tangents from a fixed point outside the circle always have the same length. ⇒ AD = AF, FC = CE, and BE = BD
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at line MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All photographs are newspapers. Some photographs are computers. Conclusions: I. Some computers are photographs. II. Some computers are newspapers. III. Some newspapers are photographs.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
Correct Answer: All of the conclusions follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions – Conclusion (I): Some computers are photographs – From the Venn diagram, it is evident that the circles representing computers and photographs overlap and
Question : Directions: Select the Venn diagram that best represents the relationship between the following classes. Male, Doctors, Singers
Solution : Given: Male, Doctors, Singers 1. Males and females can both be Doctors. So, some Males are Doctors is an appropriate statement here. 2. Males and females can both be Singers. So, some Males are Singers is an appropriate statement here. 3. Doctors may sing well. So
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