Staff Selection Commission Sub Inspector Exam
Question : In a test consisting of 120 questions, Anuradha answered 65% of the first 60 questions correctly. What percentage of the remaining questions does she need to answer correctly to score 75% in the test?
Option 1: 80
Option 2: 85
Option 3: 84
Option 4: 90
Correct Answer: 85
Solution : Let the remaining correct questions be $x$. According to the question, $60 \times \frac{65}{100} + x = 120 \times \frac{75}{100}$ ⇒ $39 + x = 90$ ⇒ $x = 90 - 39= 51$ So, the required percentage = $\frac{51}{60} \times 100$ = 85% Hence, the
Question : Find the area of a triangle whose length of two sides are 4 cm and 5 cm and the angle between them is 45°.
Option 1: $4 \sqrt{2} \mathrm{~cm}^2$
Option 2: $7 \sqrt{2} \mathrm{~cm}^2$
Option 3: $5 \sqrt{2} \mathrm{~cm}^2$
Option 4: $6 \sqrt{2} \mathrm{~cm}^2$
Correct Answer: $5 \sqrt{2} \mathrm{~cm}^2$
Solution : Given: 1st side = 4 cm 2nd side = 5 cm Angle between them = $45^\circ$ We know that, Area of triangle = $\frac{1}{2}\times\text{1st side × 2nd side}\times\sin\theta$ = $\frac{1}{2}\times4\times5\times\sin45^\circ$ = $10\times\frac{1}{\sqrt2}$ = $5\sqrt2$ Hence, the correct answer is $5\sqrt2\ cm^2$.
Question : Which one of the following organisations is directly related to child welfare?
Option 1: UNESCO
Option 2: UNICEF
Option 3: WHO
Option 4: WTO
Correct Answer: UNICEF
Solution : The correct option is UNICEF.
The United Nations organization UNICEF, also known as the United Nations International Children's Emergency Fund, is devoted to advancing and defending the rights and welfare of children everywhere. On December 11, 1946, the United Nations General Assembly established UNICEF to
Question : If $x=a\sec\theta$ and $y=b\tan\theta$, then $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=?$
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : Given: $x=a\sec\theta$ and $y=b\tan\theta$ ⇒ $\frac{x^{2}}{a^{2}}=\frac{a^{2}\sec^{2}\theta}{a^{2}}=\sec^{2}\theta$ ⇒ $\frac{y^{2}}{b^{2}}=\frac{b^{2}\tan^{2}\theta}{b^{2}}=\tan^{2}\theta$ The value of $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=\sec^{2}\theta-\tan^{2}\theta=1$ Hence, the correct answer is 1.
Question : Select the most appropriate synonym of the given word.
Chaos
Option 1: Insanity
Option 2: Tidiness
Option 3: Disarray
Option 4: Certainty
Correct Answer: Disarray
Solution : The third option is correct.
Chaos refers to a state of complete disorder and confusion, often characterised by a lack of organisation or predictability. On the other hand, disarray is a synonym that specifically captures the essence of disorder and lack of arrangement.
The meanings
Question : The cost of a pencil is $33\frac{1}{3}$% less than the cost price of a pen. If a man sells 4 pencils at the cost price of 5 pens, what is his profit percentage?
Option 1: 50
Option 2: 66.66
Option 3: 75
Option 4: 87.5
Correct Answer: 87.5
Solution : Let $x$ be the cost price of a pen. Cost price of a pencil $= x - 33\frac{1}{3}$% of $x$ = $x - \frac{1}{3}x = \frac{2}{3}x$ Cost price of 4 pencils = $4 × \frac{2}{3}x$ = $\frac{8}{3}x$ Selling price of 4 pencils = cost price
Question : Select the most appropriate one-word substitution of the given group of words. A pretence of having a virtuous character, moral or religious beliefs or principles, etc., that one does not really possess.
Option 1: Shrewdness
Option 2: Naivety
Option 3: Gullibility
Option 4: Hypocrisy
Correct Answer: Hypocrisy
Solution : The correct choice is the fourth option.
Hypocrisy is the act of pretending to have beliefs, virtues, or moral standards that one does not actually possess. This term fits the description of a facade of virtuous character or beliefs that is not genuinely held
Question : The number of different colleges in India in different years is given in the graph. The percent distribution of different colleges in years 1980 and 1990 are shown in the pie chart.
By what % are the medical colleges in 1980 is less than that in 1990?
Option 1: 25%
Option 2: 30%
Option 3: 32%
Option 4: 20%
Correct Answer: 25%
Solution : Number of colleges in 1980 = 20,000 Percentage of medical colleges in 1980 = 12% Number of medical colleges in 1980 = $\frac{12}{100}\times 20000$ = 2400 Number of colleges in 1990 = 40,000 Percentage of medical colleges in 1990 = 8% Number of medical colleges
Question : Which of the following statements about the ionosphere is not correct?
Option 1: It contains charged particles.
Option 2: It is ionised by solar and cosmic radiation.
Option 3: Radio waves transmitted from the earth are reflected back to the earth by this layer.
Option 4: It is located immediately above the stratopause.
Correct Answer: It is located immediately above the stratopause.
Solution : The correct option is It is located immediately above the stratopause.
The ionosphere is not specifically located above the stratopause. The ionosphere is a region of Earth's upper atmosphere, starting roughly at altitudes of 30 miles (48 kilometres) and
Question : Directions: In the given question, select the related letter from the given alternatives. BYW : DWU :: FUS : ?
Option 1: ESQ
Option 2: GST
Option 3: HSQ
Option 4: EST
Correct Answer: HSQ
Solution : Given: BYW : DWU :: FUS : ?
Add 2 to the place value of the first letter and subtract 2 from the place value of the second and the third letter. BYW→B + 2 = D; Y – 2 = W; W – 2
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