Staff Selection Commission Sub Inspector Exam
Question : In the figure, in $\triangle {PQR}, {PT} \perp {QR}$ at ${T}$ and ${PS}$ is the bisector of $\angle {QPR}$. If $\angle {PQR}=78^{\circ}$, and $\angle {TPS}=24^{\circ}$, then the measure of $\angle {PRQ}$ is:
Option 1: 42$^{\circ}$
Option 2: 39$^{\circ}$
Option 3: 30$^{\circ}$
Option 4: 40$^{\circ}$
Correct Answer: 30$^{\circ}$
Solution : In $\triangle$PQR, PT $ \perp$ QR at T and PS is the bisector of $\angle$QPR $\angle$PQR = 78° and $\angle$TPS = 24° In $\triangle$PQT, $\angle$QPT = 180$^\circ$ – $\angle$PQR – $\angle$PTQ = 180$^\circ$ – 78$^\circ$ – 90$^\circ$ = 12$^\circ$ $\angle$SPQ = $\angle$QPT + $\angle$TPS =
Question : Directions: A # B means A is the mother of B; A @ B means A is the sister of B; A & B means A is the father of B; A % B means A is the wife of B. If W # Q @ T & Y @ M % K, then how is K related to T?
Option 1: Wife’s brother
Option 2: Son
Option 3: Daughter’s husband
Option 4: Brother
Correct Answer: Daughter’s husband
Solution : Given: A # B ⇒ A is the mother of B A @ B ⇒ A is the sister of B A & B ⇒ A is the father of B A % B ⇒ A is the wife of B
As per the
Question : Aditya sold Article X at a profit of 23% and Article Y at a loss of 13%. He earned a profit of INR 180 in the entire transaction. If article X costs INR 90 less than article Y, then what is the price of article Y (in INR)?
Option 1: 2,100
Option 2: 2,007
Option 3: 2,020
Option 4: 2,050
Correct Answer: 2,007
Solution : Let the cost price of Y be $x$. Cost price of X = $x-90$ Profit of X = 23% of $x-90 = 0.23x - 20.7$ Loss of Y = 13% of $x = 0.13x$ Net profit = $0.23x - 20.7 - 0.13x = 0.1x -
Question : Match the following:
Option 1: 1 - c, 2 - b, 3 - a
Option 2: 1 - b, 2 - a, 3 - c
Option 3: 1 - b, 2 - c, 3 - a
Option 4: 1 - a, 2 - b, 3 - c
Correct Answer: 1 - b, 2 - a, 3 - c
Solution : The correct option is 1 - b, 2 - a, 3 - c.
Question : The ratio of acid and water in the three samples is 2 : 1, 3 : 2, and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of acid and water in the mixture is:
Option 1: 120 : 133
Option 2: 227 : 133
Option 3: 227 : 120
Option 4: 133 : 227
Correct Answer: 227 : 133
Solution : Given: The ratio of acid and water in three samples is 2 : 1, 3 : 2, and 5 : 3. Proportion of acid in 3 samples are $\frac{2}{3},\frac{3}{5},$ and $\frac{5}{8}$. Total proportion of acid = $\frac{2}{3}+\frac{3}{5}+\frac{5}{8}$ = $\frac{80+72+75}{120}$ = $\frac{227}{120}$ Proportion of
Question : Sattriya was recognised in __________ as a classical dance by Sangeet Natak Akademi.
Option 1: 2000
Option 2: 2010
Option 3: 2020
Option 4: 2005
Correct Answer: 2000
Solution : The correct option is 2000.
Sattriya was recognised as a classical dance by the Sangeet Natak Akademi in 2000. It originated in the northeastern state of Assam and has deep roots in the traditional religious practices of the region. The dance form draws inspiration
Question : Directions: Select the option that represents the letters that when sequentially placed from left to right in the blanks below will complete the letter series. _FO_LLWF_OOL_WFF_O_L_
Option 1: FOFLOLW
Option 2: FFLLOOW
Option 3: FFOLLOL
Option 4: FOWLLFW
Correct Answer: FOFLOLW
Solution : Given: _FO_LLWF_OOL_WFF_O_L_
To fill the series, we have to divide the series – _FO_LLW / F_OOL_W / FF_O_L_ Let's check each option – First option: FOFLOLW; FFOOLLW / FFOOLLW / FFOOLLW (FFOOLLW is
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. 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 farmers are doctors. All doctors are magicians. Conclusions: I. All farmers are magicians. II. No farmer is a magician.
Option 1: Only conclusion II follows
Option 2: Both conclusions follow
Option 3: Only conclusion I follows
Option 4: Either conclusion I or II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All farmers are magicians – From the Venn diagram, the circle of the farmer is completely overlapped by the circle of magicians.
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: Some schools are Laboratories. All Laboratories are theatres. Conclusions: I. Some theatres are schools. II. No school is a theatre.
Option 1: Only Conclusion II follows
Option 2: Both Conclusions I and II follow
Option 3: Neither Conclusion I nor II follows
Option 4: Only Conclusion I follows
Correct Answer: Only Conclusion I follows
Let's analyse each conclusion – Conclusion (I): Some theatres are schools – From the Venn diagram, it is evident that the circles representing schools and theatres overlap and have
Question : What is the Atomic Number of the element Einsteinium?
Option 1: 98
Option 2: 101
Option 3: 99
Option 4: 100
Correct Answer: 99
Solution : The correct option is 99.
The atomic number of Einsteinium is 99. A synthetic element, Einsteinium (Es), is a member of the actinide series and is produced artificially in nuclear reactors. Named after Albert Einstein, it is radioactive and has no significant practical applications,
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