Staff Selection Commission Sub Inspector Exam
Question : A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. 15 litres of milk is added to the canister. The new ratio of the mixture is:
Option 1: 12 : 5
Option 2: 14 : 3
Option 3: 7 : 4
Option 4: 9 : 4
Correct Answer: 14 : 3
Solution : Given: A canister holds 36 litres of a mixture of milk and water in a ratio of 3 : 1. Quantity of milk = $\frac{3}{4} × 36 = 27$ Quantity of water = $\frac{1}{4} × 36 = 9$ After adding 15 litres of
Question : Directions: In the following question a series is given, with one number missing. select the missing number from the given alternatives. 84, 42, 28, 21, ?
Option 1: 10.5
Option 2: 16.8
Option 3: 18.4
Option 4: 19.6
Correct Answer: 16.8
Solution : Given: 84, 42, 28, 21, ?
Let's apply the pattern – 84 ÷ (1 + $\frac{1}{1}$) = 42; 42 ÷ (1 + $\frac{1}{2}$) = 28; 28 ÷ (1 + $\frac{1}{3}$) = 21; 21 ÷ (1 + $\frac{1}{4}$) = 16.8
So, 16.8 is the missing term
Question : The value of $\tan1° \tan2° \tan3°...\tan89°$ is:
Option 1: $1$
Option 2: $0$
Option 3: $\sqrt{3}$
Option 4: $\frac{1}{\sqrt{3}}$
Correct Answer: $1$
Solution : $\tan1° \tan2° \tan3°...\tan89°$ $= \tan1° \tan2° \tan3°...\tan45°...\tan(90-3)°\tan(90-2)°\tan(90-1)°$ $=\tan1° \tan2° \tan3°...\tan45°...\cot3°\cot2°\cot1°$ As we know, $\tan\theta=\frac{1}{\cot\theta}$ So, it will cancel out all the terms except $\tan45°$. $=\tan45°$ $= 1$ Hence, the correct answer is $1$.
Question : Directions: If P denotes ×, Q denotes ÷, R denotes +, and S denotes –, then what will come in place of (?) in the following equation? $\sqrt[4]{81}$ R 6 P 3 S 26 R 64 = ?
Option 1: 63
Option 2: 65
Option 3: 56
Option 4: 59
Correct Answer: 59
Solution : Given: $\sqrt[4]{81}$ R 6 P 3 S 26 R 64 = ?
After replacing the letters with the mathematical signs, we get: = $\sqrt[4]{81}$ + 6 × 3 – 26 + 64 = 3 + 6 × 3 – 26 + 64 = 3 +
Question : Which of the following diseases has been eradicated worldwide?
Option 1: Plague
Option 2: Dracunculiasis
Option 3: Chickenpox
Option 4: Smallpox
Correct Answer: Smallpox
Solution : The correct answer is Smallpox.
Smallpox is a deadly and highly contagious viral disease, caused by the Variola virus and now it is successfully eradicated worldwide, the last known case of smallpox was recorded in 1977 in Ethiopia and it was declared to be
Question : Directions: In a code language, if my personal use is written as 521, use these things is written as 169, and personal things are written as 29, then which phrase would code 569 represent in this language?
Option 1: my personal things
Option 2: my these things
Option 3: these personal things
Option 4: my personal use
Correct Answer: my these things
Solution : Given: 1. my personal use⇒521 2. use these things⇒169 3. personal things⇒29
By comparing all the above–coded sentences, we find that – In sentences 1 and 2, use is a common word and 1 is a common code. In sentences 2 and 3,
Question : Directions: Four pairs of letter clusters have been given out of which three are alike in some manner, while one is different. Choose the odd one.
Option 1: NVH–KUK
Option 2: REA–ODD
Option 3: CWX– AVZ
Option 4: TXB–QWE
Correct Answer: CWX– AVZ
Solution : Let's check each option – First option: NVH–KUK; N – 3, V – 1, H + 3 = KUK Second option REA–ODD; R – 3, E – 1, D + 3 = ODD Third option: CWX–AVZ; C – 2, W – 1, X +
Question : Directions: The following bar chart represents the number of first-year B.Com. students of St. Xavier's College using different company's smartphones.
What percentage of girls are using the smartphones of Nokia?
Option 1: 33.58%
Option 2: 32.58%
Option 3: 30.58%
Option 4: 31.58%
Correct Answer: 31.58%
Solution : As per the given graph, The number of girls using smartphones $=180+60+120+20=380$ The number of girls using the smartphones of Nokia $=120$ The required percentage $=\frac{120}{380}×100=31.58$% Hence, the correct answer is 31.58%.
Question : Select the correct statement regarding the Indian monsoon.
Option 1: A monsoon is a seasonal shift in wind direction. It can cause very low rainfall during the summer and heavy rainfall in the winter
Option 2: A monsoon is a sudden temperature change. It can cause moderate rainfall during the summer and dry spells in the winter
Option 3: A monsoon is a seasonal shift in wind direction. It can cause heavy rainfall during the summer and dry spells in the winter
Option 4: A monsoon is a seasonal shift in wind direction. It can cause moderate rainfall during the summer and no rain in the winter
Correct Answer: A monsoon is a seasonal shift in wind direction. It can cause heavy rainfall during the summer and dry spells in the winter
Solution : The correct answer is A monsoon is a seasonal shift in wind direction. It can cause heavy rainfall during the summer and dry
Question : The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?
Option 1: 32
Option 2: 48
Option 3: 40
Option 4: 72
Correct Answer: 48
Solution : Let the numbers be $3x$ and $5x$. According to the question, $\frac{3x+8}{5x+8}$=$\frac{13}{19}$ $⇒57x+152=65x+104$ $⇒8x=48$ $⇒x=6$ Thus, the numbers are 18 and 30. So, the sum of the numbers is 18 + 30 = 48 Hence, the correct answer is 48.
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