Staff Selection Commission Sub Inspector Exam
Question : Directions: Two positions of a cube are given. Based on them find out which number is found opposite number 1 in the given cube.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : According to the dice rule, if two 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 face of
Question : Directions: A cube is made by folding the given sheet. In the cube so formed, what would be the symbol on the opposite side of ?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
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 faces
Question : In an equilateral $\triangle$ PQR, S is the point on the side QR such that QR = 3QS. If PQ = 9 cm, then what will be the length (in cm) of PS?
Option 1: $\sqrt{60} $
Option 2: $\sqrt{63}$
Option 3: $\sqrt{62}$
Option 4: $\sqrt{61}$
Correct Answer: $\sqrt{63}$
Solution : Draw PT perpendicular to QR. PT = $\frac{\sqrt3}{2}\times 9=\frac{9\sqrt3}{2}$ cm QT = $\frac{9}{2}$ cm Given, QR = 3QS ⇒ QS = $\frac{9}{3}$ = 3 cm ST = QT – QS =$\frac{9}{2} -3$ = $\frac{3}{2}$ Using Pythagoras' theorem: Hypotenuse2 = Base2 + Perpendicular2
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select 'No error (S)' as your answer.
(P) I did not like his (Q) comments on my paper (R) but I had no alternative as I had agreed to keep quite. (S) No error
Solution : The correct choice is the third option.
The correct term is "keep quiet", which means to remain silent or not speak. "Keep quite" is incorrect. Quite means completely or entirely, whereas quiet means making little or no noise.
Therefore, the correct sentence is: I
Question : Directions: Select the option that represents the letters which, when sequentially placed from left to right in the blanks below, will complete the letter series. _ L _ _ K S _ T U _ S L _ _ K
Option 1: L U S K T U K
Option 2: U T S K T L U
Option 3: S T U L K T U
Option 4: K T U L U T S
Correct Answer: S T U L K T U
Solution : Given: _ L _ _ K S _ T U _ S L _ _ K
To fill the series we have to divide the series – _ L _ _ K / S _ T U _ /
Question : Directions: Which of the options is the exact mirror image of the given figure when the mirror is held at the right side?
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure. So, the left side of the reflected image will appear as the right
Question : A person covers a distance of 300 km and then returns to the starting point. The time taken by him for the outward journey is 5 hours more than the time taken for the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed (in km/hr) for the outward journey?
Option 1: 15
Option 2: 20
Option 3: 30
Option 4: 25
Correct Answer: 20
Solution : Let the speed of the forward journey be $x$ km/hr. Speed of return journey will = $(x + 10)$ km/hr Time taken in return journey = $\frac{300}{(x + 10)}$ hours Time taken in forward journey = $\frac{300}{x}$ hours According to the question, ⇒ $\frac{300}{x} -\frac{300}{x+10}
Question : How many sites were chosen from India for the 2019 UNESCO Asia-Pacific Awards for Cultural Heritage Conservation?
Option 1: Five
Option 2: Four
Option 3: Two
Option 4: Three
Correct Answer: Four
Solution : The correct answer is Four.
India had four sites selected for the 2019 UNESCO Asia-Pacific Awards for Cultural Heritage Conservation. Among them, three are located in Mumbai—Flora Mountain, Keneseth Synagogue, and Gloria Church. The fourth site is the Vikram Sarabhai Library in Ahmedabad. The
Question : PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that $\angle \mathrm{APB}=128^{\circ}$, then $\angle \mathrm{OAB}$ is equal to:
Option 1: 72°
Option 2: 52°
Option 3: 38°
Option 4: 64°
Correct Answer: 64°
Solution :
$\angle APB =128^{\circ}$ Let $\angle OAB = x$ $\angle PAB = 90^{\circ} - x$ Since PA and PB are tangents from the same external point P, ⇒ PA = PB $\therefore \triangle APB$ is an isosceles triangle. ⇒ $\angle PAB = \angle PBA = 90^{\circ}
Question : Study the given graph carefully and answer the question that follows. In which year was there a maximum percentage increase in the export of apples to that of the previous years?
Option 1: 2003
Option 2: 2005
Option 3: 2006
Option 4: 2008
Correct Answer: 2005
Solution : The percentage increase in the export of apples in 2003 = $\frac{6.5-5.2}{5.2}$ × 100 = 25% The percentage increase in the export of apples in 2005 = $\frac{9.9-7.8}{7.8}$ × 100 = 26.92% The percentage increase in the export of apples in 2006 = $\frac{10.8-9.9}{9.9}$ ×
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