Staff Selection Commission Combined Higher Secondary Level Exam
Question : A tradesman marks his goods at 25% above the cost price. If he reduces the marked price by $12\frac{1}{2}\%$, then his profit will be:
Option 1:
$9\frac{3}{8}\%$
Option 2: $7\frac{3}{5}\%$
Option 3: $6\frac{3}{8}\%$
Option 4: $5\frac{1}{3}\%$
Correct Answer:
Solution : Use the successive percentage change formula, where $x$ and $y$ are percentage increases or decreases, if increases take positive and if decreases take negative. $=(x+y+\frac{xy}{100})\%$ We have, $x = 25\%$ and $y=-12\frac{1}{2}\%=-\frac{25}{2}\%$ The required profit percentage, $=(25-\frac{25}{2}-\frac{25×25}{200})\%$ $=(25-\frac{25}{2}-\frac{25}{8})\%$ $=\frac{75}{8}\%$ $=9\frac{3}{8}\%$ Hence, the correct answer is
Question : Rajinder drives his car at an average speed of 40 km/hr to cover half of his total distance and thereafter he increases his speed to 60 km/hr. He covers his journey in 7 hours. What is the average speed of Rajinder on this journey?
Option 1: 52 km/hr
Option 2: 48 km/hr
Option 3: 50 km/hr
Option 4: 54 km/hr
Correct Answer: 48 km/hr
Solution : Let the total distance covered by Rajinder = $2x$ km Time taken to travel half distance = $\frac{x}{40}$ Time taken to travel other half distance = $\frac{x}{60}$ Average speed = $\frac{\text{Total distance travelled}}{\text{Total time taken}}$ = $\frac{2x}{\frac{x}{40}+\frac{x}{60}}$ = $\frac{2×40×60}{40+60}$ = 48 km/hr Hence, the
Question : Directions: In a certain code language, M × N means M is the father of N, M + N means M is the wife of N, M ÷ N means M is the daughter of N, M – N means M is the son of N. Based on the above, how is P related to T, if P – Q × R + S × T?
Option 1: Mother's brother
Option 2: Sister's son
Option 3: Brother
Option 4: Mother's father
Correct Answer: Mother's brother
Solution : Given: M × N means M is the father of N M + N means M is the wife of N M ÷ N means M is the daughter of N M – N means M is the son of N
As per the
Question : Directions: Find the correct alternative that when filled in the blanks in the same sequence will make the series logically complete. P_S_T_P_ _PT_ _T_P_S
Option 1: PTSPTSSPT
Option 2: PPTSSTPST
Option 3: TPSTPSTSS
Option 4: TPSTSSPST
Correct Answer: TPSTSSPST
Solution : Given: P_S_T_P_ _PT_ _T_P_S
To fill the series we have to divide the series – P_S /_T_ /P_ _ /PT_ / _T_ /P_S Let's check each option – First option: PTSPTSSPT; PPS / TTS / PPT / PTS /
Question : Two pipes, X and Y, can fill a cistern in 24 minutes and 32 minutes, respectively. If both the pipes are opened together, then after how much time (in minutes) should Y be closed so that the tank is full in 18 minutes?
Option 1: 10
Option 2: 8
Option 3: 6
Option 4: 5
Correct Answer: 8
Solution : Time taken by X alone to fill the tank = 24 minutes Part of work done by X alone in a minute = $\frac{1}{24}$ Time taken by Y alone to fill the tank = 32 minutes Part of work done by Y alone in a
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error, and select the option which rectifies that error.
A lot of adulterants / are chemicals that can lead / to an range of health problems / in both children and adults.
Option 1: A lot of adulterants
Option 2: are chemicals that can lead
Option 3: in both children and adults.
Option 4: to a range of health problems
Correct Answer: to a range of health problems
Solution : The correct choice is the fourth option.
The error lies in the use of the article "an" before the word "range". In this case, "range" begins with a consonant sound. So, it requires the article "a" instead of "an"
Question : Which of the following Article/Articles cannot be suspended even during an emergency?
Option 1: Article 19
Option 2: Articles 20 and 21
Option 3: Articles 22 and 23
Option 4: Articles 24 and 25
Correct Answer: Articles 20 and 21
Solution : The correct option is Articles 20 and 21.
Articles 20 and 21 of the Constitution of India pertain to fundamental rights and provide protections to individuals. Article 20 ensures that no person can be convicted of any offence except for violation
Question : Directions: If 29 November 2009 is Sunday, then what will be the day of the week on 30 May 2010?
Option 1: Monday
Option 2: Sunday
Option 3: Tuesday
Option 4: Saturday
Correct Answer: Sunday
Solution : Given: 29 November 2009 is Sunday.
Let's calculate the total number of days from the 29th of November 2009 to the 30th of May 2010 –
Number of remaining days in 2009 = 1 + 31 = 32 Number of days from 1 January 2010
Question : Sanjana can row a boat at 9 km/hr in the still water. It takes her twice as long to row up a certain distance as to row down the same distance in the river. What is the rate of the stream (in km/hr)?
Option 1: 4
Option 2: 1
Option 3: 3
Option 4: 2
Correct Answer: 3
Solution : Let the speed of the stream be $x$ km/hr. Speed of boat in still water = 9 km/hr Let the distance be $d$. According to the question, $2×\frac{d}{9+x}=\frac{d}{9-x}$ ⇒ $18-2x=9+x$ ⇒ $3x=9$ ⇒ $x=3$ km/hr Hence, the correct answer is 3.
Question : Refer to the following data table and answer the question.
Expenditure on raw materials and taxes is what percent of total expenses?
Option 1: 46 percent
Option 2: 44 percent
Option 3: 52 percent
Option 4: 50 percent
Correct Answer: 50 percent
Solution : From the table, The total yearly expense is the sum of all these expenses = 12 + 8 + 6 + 2 + 4 = 32 lakhs The combined expenditure on raw materials and taxes = 12 + 4 = 16 lakhs The expenditure
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