Staff Selection Commission Sub Inspector Exam
Question : Directions: In a certain code, CATHODE is written as X5GS2W4. How will RELATION be written in that code?
Option 1: J401G32N
Option 2: I301G32M
Option 3: I4O5G32M
Option 4: J305G32M
Correct Answer: I4O5G32M
Solution : Given: CATHODE is written as X5GS2W4.
Here, vowels are represented as A→5; E→4; I→3; O→2; U→1, and consonants are represented with opposite letters of CATHODE, to obtain the required code – C→X; A→5; T→G; H→S; O→2; D→W; E→4 Thus, CATHODE is coded as X5GS2W4. Similarly,
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 1.
Option 1: 3
Option 2: 2
Option 3: 6
Option 4: 4
Correct Answer: 3
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.
So, the opposite
Question : If $7 \sin ^2 \theta+3 \cos ^2 \theta=4,0^{\circ}<\theta<90^{\circ}$, then the value of $(\tan ^2 2 \theta+\operatorname{cosec}^2 2 \theta)$ is:
Option 1: $7$
Option 2: $\frac{15}{4}$
Option 3: $\frac{13}{3}$
Option 4: $\frac{13}{4}$
Correct Answer: $\frac{13}{3}$
Solution : Given: The trigonometric expression is $7 \sin ^2 \theta+3 \cos ^2 \theta=4,0^{\circ}<\theta<90^{\circ}$. Use the trigonometric identity, $\sin ^2 \theta+\cos^2\theta=1$. $7 \sin ^2 \theta+3 \cos ^2 \theta=4$ ⇒ $4 \sin ^2 \theta+3 (\cos ^2 \theta+\sin^2\theta)=4$ ⇒ $4 \sin ^2 \theta+3=4$ ⇒ $4 \sin ^2 \theta=1$ ⇒
Question : Select the INCORRECTLY spelt word
Option 1: Frieze
Option 2: Fortunate
Option 3: Funereal
Option 4: Fortuiteous
Correct Answer: Fortuiteous
Solution : The correct option is the fourth option.
Explanation: The correct spelling of the word is fortuitous, as it means happening by chance or luck, often in a positive way. It refers to something that occurs unexpectedly or accidentally but turns out to be advantageous or
Question : Directions: Three statements are given followed by four conclusions I, II, III, and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow/s from the given statement. Statements: I. All parrots are crows. II. All crows are robins. III. All robins are swan. Conclusions: I. All parrots are swans. II. All swans are crows. III. All robins are parrots. IV. All crows are swans.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and IV follow
Option 3: All the conclusions follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusions I and IV follow
Solution : The possible venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All parrots are swans – From the given Venn diagram, the circle of parrots is completely inside the circle of
Question : After giving a 40% discount on an article, there is still a profit of 20%. What will be the profit percentage when no discount is given?
Option 1: 60%
Option 2: 68%
Option 3: 78%
Option 4: 100%
Correct Answer: 100%
Solution : Given: After giving a 40% discount on an article, there is still a profit of 20%. Let the marked price be 100 units. So, selling price = 100 – 40 = 60 units Cost price = $\frac{100}{120}×60=50$ units When no discount is given, profit will
Question : The circle graph given here shows the spending of a country on various sports during a year. Study the graph carefully to answer the question. Percentage of money spent on various sports for one year. If the total amount spent during the year was Rs. 1,20,00,000, then how much was spent on Basketball?
Option 1: Rs. 25,00,000
Option 2: Rs. 10,00,000
Option 3: Rs. 40,00,000
Option 4: Rs. 30,00,000
Correct Answer: Rs. 30,00,000
Solution : As per the given graph, The percentage of money spent on Basketball = 25% Money spent on Basketball = 25% of Rs. 1,20,00,000 = $\frac{25}{100}$ × 1,20,00,000 = Rs. 30,00,000 Hence, the correct answer is Rs. 30,00,000.
Question : The following histogram shows the weights of students of class X in a school on a particular day. Total number of students enrolled in class X = 200. The number of students weighing less than 55 kg is what percentage less than the number of students weighing 55 kg to 65 kg?
Option 1: 7%
Option 2: 5%
Option 3: 10%
Option 4: 8%
Correct Answer: 5%
Solution : The number of students weight less than 55 kg is (20 + 45 + 30) = 95 The number of students weight from 55 kg to 65 kg is (60 + 40) = 100 The required percentage of students ${\frac{(100 - 95)}{100}}$ × 100 =
Question : Directions: Select the figure that will come next (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – The figure of box 1 is rotated by 180° to get the figure for box 2. By following the same pattern, the required missing figure will be –
Therefore, the figure in the fourth option is the required figure. Hence,
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 35, ?, 40, 47, 45, 53
Option 1: 37
Option 2: 43
Option 3: 42
Option 4: 41
Correct Answer: 41
Solution : Given: 35, ?, 40, 47, 45, 53
Follow the pattern to obtain the missing term –
So, 41 is the missing term in the given series. Hence, the fourth option is correct.
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