Staff Selection Commission Sub Inspector Exam
Question : A and B working together can do a piece of work in $4\frac{1}{2}$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $2\frac{1}{4}$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.
Option 1: 3 hours
Option 2: 2 hours
Option 3: 2.5 hours
Option 4: 3.25 hours
Correct Answer: 2 hours
Solution : Amount of work done by A and B in 1 hour = $\frac{2}{9}$ Amount of work done by B and C in 1 hour = $\frac{1}{3}$ Amount of work done by A and C in 1 hour = $\frac{4}{9}$ Adding all the equations, we have: ⇒ 2 × (A + B + C)'s 1 hour work = $\frac{2}{9}+\frac{1}{3}+\frac{4}{9}$ ⇒ 2 × (A + B + C)'s 1 hour work = $\frac{2+3+4}{9}=1$ ⇒ (A + B + C)'s 1 hour work = $\frac{1}{2}$ (A + B + C) can finish $\frac{1}{2}$ work in 1 hour. (A + B + C) can finish the total work in 2 hours. Hence, the correct answer is 2 hours.
Question : Directions: How many quadrilaterals are there in the given figure?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 2
Solution : The given figure can be labeled as shown below –
There are 2 quadrilaterals in the above figure. They are ABFE and ABCE.
Hence, the first option is correct.
Question : Directions: Find the answer figure which will complete the pattern in the question figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Question : Lala Har Dayal, an intellectual was associated with:
Option 1: Home Rule Movement
Option 2: Ghadar Movement
Option 3: Swadeshi Movement
Option 4: Non-Cooperation Movement
Correct Answer: Ghadar Movement
Solution : The correct answer is the Ghadar Movement.
Lala Har Dayal inspired many Indians in the United States, and Canada to oppose the British Empire. He declined a position in Indian civil service to join the National Movement. He founded the Ghadar Party in the United States in 1913 as a revolutionary. He was arrested by US officials for spreading anarchy. He finally migrated to Berlin and taught Indian philosophy in Sweden for eleven years.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The battalion operating from the mountain was able to ______ three enemy divisions.
Option 1: tie up
Option 2: tie down
Option 3: tie on
Option 4: tie with
Correct Answer: tie down
Solution : The correct choice is the second option.
In military terms, tie down means to restrict the movement or activities of the enemy, to keep them occupied or engaged in a particular area. In the given sentence, if the battalion operating from the mountain was able to tie down three enemy divisions, it suggests that the battalion successfully restricted the enemy divisions' movements or activities.
The meanings of other options are as follows:
Tie up: This phrase generally means to secure something or someone by fastening it with a knot or a similar device.
Tie on: This phrase doesn't fit the context of military operations in this sentence.
Tie with: This phrase is not the appropriate choice for this context.
Therefore, the correct sentence is: "The battalion operating from the mountain was able to tie down three enemy divisions."
Question : Directions: In a certain code language, BABY is coded as 29 and GENDER is coded as 52. How will CRIPPLE be coded in that language?
Option 1: 74
Option 2: 84
Option 3: 78
Option 4: 88
Correct Answer: 78
Solution : Given: BABY is coded as 29, and GENDER is coded as 52.
Add the positional value of the letters of the word BABY and subtract one from the resultant to obtain the required code – B→2, A→1, B→2, Y→25 (2 + 1 + 2 + 25) – 1 = 30 – 1 = 29 Thus, BABY is coded as 29. And GENDER is coded as 52 – G→7, E→5, N→14, D→4, E→5, R→18 (7 + 5 + 14 + 4 + 5 + 18) – 1 = 53 – 1 = 52 Thus, GENDER is coded as 52. Similarly, follow the same pattern for CRIPPLE – C→3, R→18, I→9, P→16, P→16, L→12, E→5 (3 + 18 + 9 + 16 + 16 + 12 + 5) – 1 = 79 – 1 = 78
Thus, CRIPPLE is coded as 78. Hence, the third option is correct.
Question : If the selling price of 318 articles is equal to the cost price of 212 articles, then what is the loss percentage?
Option 1: $20$
Option 2: $33\frac{1}{3}$
Option 3: $40$
Option 4: $33\frac{2}{3}$
Correct Answer: $33\frac{1}{3}$
Solution : Let the cost price of 1 article be Rs. $x$. Selling price of 1 article $=\frac{212}{318}x$ Loss percentage $=\frac{x-\frac{212}{318}x}{x} × 100 = 33\frac{1}{3}$% Hence, the correct answer is $33\frac{1}{3}$.
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Hawa Mahal, Jaipur, Rajasthan
Solution : Based on the general information, Hawa Mahal is in Jaipur, and Jaipur is in Rajasthan. So, the circle that represents Hawa Mahal will lie inside the circle that represents Jaipur, and the circle that represents Jaipur will lie inside the circle that represents Rajasthan. Therefore, the Venn diagram is as follows –
Question : A ladder leaning against a wall makes an angle $\theta$ with the horizontal ground such that $\tan \theta=\frac{12}{5}$. If the height of the top of the ladder from the wall is 24 m, then what is the distance (in m) of the foot of the ladder from the wall?
Option 1: 18
Option 2: 19.5
Option 3: 7.5
Option 4: 10
Correct Answer: 10
Solution : The ladder leaning against the wall makes an angle $\theta$ with the horizontal ground such that $\tan \theta = \frac{12}{5}$. The height of the top of the ladder from the wall is = 24 m Concept Used: $\tan \theta = \frac{\text{Height}}{\text{Base}}$ Accordingly, Let the base = x which means the distance of the foot of the ladder from the wall is x $\tan \theta = \frac{12}{5}$ $⇒\frac{24}{\text{x}} = \frac{12}{5}$ $⇒\text{x} = 10$ m $\therefore$ The distance of the foot of the ladder from the wall is 10 m. Hence, the correct answer is 10 m.
Question : Directions: In the given question, select the related letter cluster from the given alternatives. BDAC : FHEG :: NPMO : ?
Option 1: RTQS
Option 2: QTRS
Option 3: RQTS
Option 4: SQRT
Correct Answer: RTQS
Solution : Given: BDAC : FHEG :: NPMO : ?
Add 4 to the place value of each letter of BDAC to obtain the required code – B + 4 = F; D + 4 = H; A + 4 = E; C + 4 = G Thus, BDAC is coded as FHEG. Similarly, follow the same pattern for NPMO – N + 4 = R; P + 4 = T; M + 4 = Q; O + 4 = S
Thus, NPMO is coded as RTQS. Hence, the first option is correct.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile