Staff Selection Commission Combined Higher Secondary Level Exam
Question : Aditya can complete a grill painting job in 20 hours, while Vinay can complete the same work in 15 hours. If Aditya and Vinay both work together, then in how many hours will the painting work be completed?
Option 1: $10 \frac{2}{3}$ hours
Option 2: $10$ hours
Option 3: $12$ hours
Option 4: $8 \frac{4}{7}$ hours
Correct Answer: $8 \frac{4}{7}$ hours
Solution : Given: Aditya can complete a grill painting job in 20 hours. Vinay can complete the same work in 15 hours. Let the total work be LCM of (20, 15) = 60 units ⇒ Efficiency of Aditya = $\frac{60}{20} = 3$ units/hour ⇒ Efficiency
Question : Which of the following is an extinct species?
Option 1: Hornbill
Option 2: Andaman wild pig
Option 3: Pink head duck
Option 4: Andaman teal
Correct Answer: Pink head duck
Solution : The correct option is Pink head duck.
The extinct species among the options you provided is the Pink-headed duck. The Pink-headed duck is a species of waterfowl that is believed to be extinct, with the last confirmed sightings dating back to the
Question : P can fill a tank in 5 hours, and Q can fill the same tank in 10 hours. R can empty the same tank in 20 hours. How much time will all the three take together to fill the same tank?
Option 1: 10 hours
Option 2: 4 hours
Option 3: 6 hours
Option 4: 5 hours
Correct Answer: 4 hours
Solution : P can fill a tank in 5 hours. Q can fill the same tank in 10 hours. R can empty the same tank in 20 hours. P's per hour efficiency = $\frac{1}{5}$ Q's per hour efficiency = $\frac{1}{10}$ R's per hour efficiency = $-
Question : Mr Dutta desired to deposit his retirement benefit of 3 lakh partly to a post office and partly to a bank at 10% and 6% simple interests respectively. If his monthly interest was Rs. 2,000, then the difference between his deposits in the post office and the bank was:
Option 1: Rs. 50,000
Option 2: Rs. 40,000
Option 3: Nil
Option 4: Rs. 1,00,000
Correct Answer: Nil
Solution : Let the amount deposited in the bank and post office be Rs. $x$ and Rs. $(300000-x)$ respectively. We know, interest = $\frac{PRT}{100}$, where $P$ is principal, and $R$ is the rate of interest per annum for $T$ years. So, Interest gained from a 10% interest
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule /Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 225 – 5733
Option 2: 169 – 7912
Option 3: 361 – 9786
Option 4: 289 – 3194
Correct Answer: 361 – 9786
Solution : Let's check each option – First option: 225 : 5733; 225 = 152 and 5733 on reversing it gives 3375 = 153 Second option: 169 : 7912; 169 = 132 and 7912 on reversing it gives 2197 = 133
Question : What is the measure of the central angle of the arc whose length is 11 cm and the radius of the circle is 14 cm?
Option 1: 45$^\circ$
Option 2: 60$^\circ$
Option 3: 75$^\circ$
Option 4: 90$^\circ$
Correct Answer: 45$^\circ$
Solution : We have to find: the measure of the central angle of the arc whose length is 11 cm and the radius of the circle is 14 cm. We know that, Length of arc $= \frac{\theta}{360^\circ}\times 2\pi r$ $⇒11= \frac{\theta}{360^\circ}\times 2\times \frac {22}{7}\times 14$ $\therefore\theta =45^\circ$
Question : The length, width, and height of a cuboidal box are 18 cm,12 cm, and 10 cm, respectively. What is the total surface area of the box?
Option 1: 1000 cm2
Option 2: 1048 cm2
Option 3: 1032 cm2
Option 4: 1120 cm2
Correct Answer: 1032 cm2
Solution : Length = 18 cm Width = 12 cm Height = 10 cm The formula for the total surface area of a cuboidal box is: Total surface area = 2 × (Length × Width + Length × Height + Width × Height) ⇒ Total
Question : Select the option that expresses the given sentence in active voice.
His wife was killed by him.
Option 1: Him kills his wife.
Option 2: He has killed his wife.
Option 3: He killed his wife.
Option 4: He kills his wife.
Correct Answer: He killed his wife.
Solution : The correct choice is the third option.
Active voice is the voice where the subject performs the action. When converting a sentence from the passive voice to the active voice, the subject performs the action rather than the action received by
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No Error'.
A key institution is the judiciary, especially the Supreme Court, with a widely remit and a wise legacy.
Option 1: especially the Supreme Court, with
Option 2: a widely remit and a wise legacy.
Option 3: A key institution is the judiciary,
Option 4: No Error
Correct Answer: a widely remit and a wise legacy.
Solution : The correct choice is the second option.
The error lies in the use of "widely", which should be replaced with "wide".
"Wide" functions as an adjective that helps modify the noun "remit", which means an area of responsibility
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence. (O) on a regular basis can improve (P) engaging in physical activity (Q) the risk of chronic diseases, and boost mental health (R) cardiovascular health, reduce
Option 1: RPOQ
Option 2: PROQ
Option 3: PORQ
Option 4: OQRP
Correct Answer: PORQ
Solution : The third option is the correct answer.
It begins by introducing the subject, (P). Subsequently, it adds details about the manner in which this activity is conducted, (O). Moving on, the sentence highlights one of the positive outcomes, (R). Finally, it expands on the health
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