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Question : Directions: The bar graph represents the number of road accidents due to buses and cars during the years 2008 to 2013. Study the graph and answer the questions. The respective ratio of road accidents due to buses in the year 2008 to that by car in the year 2012 is:
Option 1: $2:1$
Option 2: $1:2$
Option 3: $2:3$
Option 4: $3:4$
Correct Answer: $3:4$
Solution : As per the given graph: The road accidents due to buses in the year 2008 = 30 thousand. The road accidents due to cars in the year 2012 = 40 thousand. The required ratio = (The road accidents due to buses in the year 2008)
Question : Article related to the compulsory acquisition of property has been omitted now from the Indian Constitution. What is the number of this article?
Option 1: 31D
Option 2: 31
Option 3: 31B
Option 4: 31AQ
Correct Answer: 31
Solution : The correct answer is 31.
The Right to Property was a fundamental right under Article 31 of the original Constitution of India. However, it was later amended, and the Right to Property ceased to be a fundamental right. The 44th Amendment Act of 1978
Question : Which cells in our body have the least regenerative power?
Option 1: Brain cells
Option 2: Muscle cells
Option 3: Bone cells
Option 4: Liver cells
Correct Answer: Brain cells
Solution : The correct option is Brain cells.
The central nervous system's neurons, or nerve cells (including the brain and spinal cord), have the least regeneration ability in the human body. Neurons, unlike many other cells, have a restricted ability to conduct mitosis (cell division), and
Question : A thief, seeing a policeman from a distance of 120 m, starts running at a speed of 7 km/hr. The policeman chases immediately with a speed of 8 km/hr and the thief is caught. What is the distance run by the thief?
Option 1: 820 m
Option 2: 780 m
Option 3: 840 m
Option 4: 800 m
Correct Answer: 840 m
Solution : The relative speed of the policeman and the thief = 8 – 7 = 1 km/hr = 1 × $\frac{5}{18}$ m/s = $\frac{5}{18}$ m/s The time it takes for the policeman to catch the thief = $\frac{120}{\frac{5}{18}}$ = 432 s The speed of the
Question : Which among the following dance forms of India is associated with Rajasthan?
Option 1: Kalbelia
Option 2: Bharatanatyam
Option 3: Odissi
Option 4: Kathakali
Correct Answer: Kalbelia
Solution : The correct answer is Kalbelia.
The Kalbelia community in Rajasthan practices a traditional dance style known as Kalbelia Rajasthani dance. Its colourful costumes and fluid, flowing dances set it apart. Traditional and narrative music also contribute to the experience.
Question : The average marks obtained by 80 students in an examination is 50. If the average marks of passed students is 55 and the number of students who failed the examination is 30, then what are the average marks of students who failed the examination?
Option 1: 41.66
Option 2: 46.66
Option 3: 40.33
Option 4: 52.33
Correct Answer: 41.66
Solution : Number of students = 80 Average marks of all students = 50 Number of students failed = 30 Average marks of passed students = 55 Total marks = 80 × 50 = 4000 Number of passed students = Total students – number of failed students
Question : Which of the following is not the correct statement about escape velocity?
Option 1: In our solar system, Jupiter has the highest escape velocity
Option 2: On the earth, the escape velocity is 11.2 km/s
Option 3: Escape velocity depends on the mass and radius of the celestial body
Option 4: In our solar system, Venus has the lowest Escape velocity
Correct Answer: In our solar system, Venus has the lowest Escape velocity
Solution : The correct option is in our solar system, Venus has the lowest Escape velocity.
In our solar system, Mars has the lowest Escape velocity.
The Escape velocity is independent of the body's mass and
Question : If $\tan A=\frac{5}{12}$, then the value of $\cos A=$______.
Option 1: $\frac{12}{5}$
Option 2: $\frac{13}{5}$
Option 3: $\frac{5}{13}$
Option 4: $\frac{12}{13}$
Correct Answer: $\frac{12}{13}$
Solution : Given: $\tan A = \frac{5}{12}$ Then, $\sec A$ = $\sqrt{(1 + \tan^2A)}$ = $\sqrt{(1 + \frac{25}{144})}$ = $\sqrt{(\frac{169}{144})}$ = $\frac{13}{12}$ So, $\cos A = \frac{1}{\sec A}=\frac{12}{13}$ Hence, the correct answer is $\frac{12}{13}$.
Question : Chords AC and BD of a circle with centre O, intersect at right angles at E. If $\angle OAB=25^{\circ}$, then the value of $\angle EBC$ is:
Option 1: $30^{\circ}$
Option 2: $25^{\circ}$
Option 3: $20^{\circ}$
Option 4: $15^{\circ}$
Correct Answer: $25^{\circ}$
Solution : Construction: Join $OB$ Using figure, $OA = OB =$ radius $\angle OAB = \angle OBA = 25^\circ$ In $\triangle AOB$ $\angle AOB + \angle OBA+\angle OBA = 180^\circ$ $\therefore \angle AOB = 180^\circ - 25^\circ- 25^\circ = 130^\circ$ To find: $\angle EBC$ Construction: Join $BC$
Question : If $\sec x+\cos x=2$, then the value of $\sec^{16} x+\cos^{16} x$ will be:
Option 1: $\sqrt3$
Option 2: $2$
Option 3: $1$
Option 4: $0$
Correct Answer: $2$
Solution : Given: $\sec x+\cos x=2$ We know the algebraic identity, $(a-b)^2=a^2+b^2-2ab$. $\frac{1}{\cos x}+\cos x=2$ Or, $\frac{1+\cos^2 x}{\cos x}=2$ Or, $\cos^2 x–2\cos x+1=0$ Or, $(\cos x-1)^2=0$ $\therefore \cos x=1$ So, $\sec x=1$. The value of $\sec^{16} x+\cos^{16} x$ = $1+1=2$ Hence, the correct answer is $2$.
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