Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. CREATION : ETGCVKQP :: UNIVERSE : WPKXGTUG :: PLANET : ?
Option 1: RNCPGV
Option 2: RCPNGV
Option 3: RPGVNC
Option 4: RPCGVN
Correct Answer: RNCPGV
Solution : Given: CREATION : ETGCVKQP :: UNIVERSE : WPKXGTUG :: PLANET : ?
Like, CREATION : ETGCVKQP – C + 2 = E; R + 2 = T; E + 2 = G; A + 2 = C; T + 2 = V; I + 2
Question : Pipes A and B can fill a tank in 16 hours and 24 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe C is closed after 10 hours. After how many hours will the remaining part of the tank be filled?
Option 1: $2 \frac{1}{2}$
Option 2: $2$
Option 3: $5 \frac{1}{2}$
Option 4: $5$
Correct Answer: $2$
Solution : Total Work = Least Common Multiple (LCM) of 16, 24, and 40 = 240 Let the total capacity of the tank be 240 units Efficiency of A = $\frac{240}{16}$ = 15 units Efficiency of B = $\frac{240}{24}$ = 10 units Efficiency of C = $\frac{240}{-40}$
Question : Directions: A cube is made by folding the given sheet. In the cube so formed, which letter will be on the face opposing to the one showing P?
Option 1: H
Option 2: L
Option 3: K
Option 4: A
Correct Answer: H
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite pairs of
Question : Directions: Three different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the face showing 1.
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 4
Correct Answer: 4
Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
Therefore, the opposite
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.
Rohan yelled ______ her, and she hastily retreated.
Option 1: towards
Option 2: to
Option 3: on
Option 4: at
Correct Answer: at
Solution : The fourth option is the correct choice.
Therefore,
Question : What is the value of m in the quadratic equation $x^{2}+mx+24=0$, if one of its roots is $\frac{3}{2}$.
Option 1: $–\frac{45}{2}$
Option 2: $16$
Option 3: $–\frac{21}{2}$
Option 4: $–\frac{35}{2}$
Correct Answer: $–\frac{35}{2}$
Solution : Given: $x^{2}+mx+24=0$ One of its roots is $\frac{3}{2}$. Putting $x=\frac{3}{2}$ into the equation, we have, $(\frac{3}{2})^{2}+m(\frac{3}{2})+24=0$ ⇒ $\frac{9}{4}+\frac{3m}{2}+24=0$ ⇒ $\frac{3m}{2}=–(\frac{9+96}{4})$ ⇒ $m=–\frac{105}{4}×\frac{2}{3}$ ⇒ $m=–\frac{35}{2}$ Hence, the correct answer is $–\frac{35}{2}$.
Question : A and B can do a piece of work in 25 days. B alone can do $66 \frac{2}{3}$% of the same work in 30 days. In how many days can A alone do $\frac{4}{15}$th part of the same work?
Option 1: 18
Option 2: 15
Option 3: 12
Option 4: 20
Correct Answer: 15
Solution : Days taken by A and B together to do total work = 25 days Days taken by B to do = $66\frac{2}{3}$% of total work = 30 days We know, Number of days taken = $\frac{(\text{Total work})}{(\text{Efficiency})}$ Days taken by B to do $66\frac{2}{3}\%$ i.e.
Question : Directions: Select the related letter cluster from the given alternatives. YAC : CEG :: NOQ : ?
Option 1: RSU
Option 2: RUS
Option 3: STV
Option 4: SVT
Correct Answer: RSU
Solution : Given: YAC : CEG :: NOQ : ?
Add 4 to the place value of each letter of YAC to obtain the required code – Y + 4 = C; A + 4 = E; C + 4 = G Thus, YAC is coded as
Question : Directions: In the following question, select the related number from the given alternatives. 200 : 25 :: 300 : ?
Option 1: 30
Option 2: 37.50
Option 3: 32.50
Option 4: 30.25
Correct Answer: 37.50
Solution : Given: 200 : 25 :: 300 : ?
Like, 200 : 25→200 ÷ 8 = 25 Similarly, for 300 : ?→300 ÷ 8 = 37.50
So, 300 is related to 37.50. Hence, the second option is correct.
Question : Directions: Which two numbers should be interchanged to make the given equation correct? 36 × 12 + 48 ÷ 6 –18 = 202
Option 1: 6 and 18
Option 2: 6 and 12
Option 3: 36 and 18
Option 4: 36 and 48
Correct Answer: 6 and 12
Solution : Given: 36 × 12 + 48 ÷ 6 –18 = 202
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 6 and 18 = 36 × 12 + 48 ÷ 18 –
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