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Question : "Central Bureau of Intelligence and Investigation" is listed in the________list given in the Seventh Schedule in the Constitution of India.
Option 1: Union
Option 2: State
Option 3: Global
Option 4: Concurrent
Correct Answer: Union
Solution : The correct option is Union
The federal government retains the authority to form and supervise investigative bodies such as the Federal Bureau of Investigation despite the Seventh Schedule not particularly addressing these matters. Agencies like the CBI are regarded as being on the Union List
Question : Select the most appropriate 'one word' for the expression given below. One who cures eye disease.
Option 1: Ophthalmologist
Option 2: Prologist
Option 3: Phonologist
Option 4: Biologist
Correct Answer: Ophthalmologist
Solution : The correct answer is the first option.
The most appropriate 'one word' for the expression "one who cures eye disease" is ophthalmologist. This term is derived from the Greek words "ophthalmos" (meaning "eye") and "logos" (meaning "study" or "science"). An ophthalmologist is a medical
Question : Directions: In the following question, which one set of letters/numbers when sequentially placed at the gaps in the given letter series shall complete it? a_baa_baa_ba
Option 1: bbb
Option 2: bab
Option 3: bba
Option 4: aab
Correct Answer: bbb
Solution : Given: a_baa_baa_ba
To fill the series we have to divide the series – a_ba / a_ba / a_ba Let's check the option – First option: bbb; abba / abba / abba (abba is repeated in the series.) Second option:
Question : If $\theta=135^{\circ} ; y=15^{\circ}$, what is the value of $2\cos(\theta)\sin(y)$?
Option 1: $\frac{\sqrt{3}-1}{2}$
Option 2: $\frac{1-\sqrt{3}}{2}$
Option 3: $2-\sqrt{3}$
Option 4: $\sqrt{3}-2$
Correct Answer: $\frac{1-\sqrt{3}}{2}$
Solution : $\theta=135^{\circ}$ $y=15^{\circ}$ $2 \cos (\theta) \sin (y)$ = $2 \cos (135^{\circ}) \sin (15^{\circ})$ = $2 \cos (180^{\circ}-45^{\circ}) \sin (45^{\circ}-30^{\circ})$ = $2$ × $[-\cos45^{\circ}]$ × $[ \sin (45^{\circ})\cos(30^{\circ})-\cos (45^{\circ})\sin(30^{\circ})]$ = $2$ × $[ -\frac{1}{\sqrt2}]$ × $[ \frac{1}{\sqrt2}×\frac{\sqrt3}{2}-\frac{1}{\sqrt2}×\frac{1}{2}]$ = $2$ × $[-\frac{1}{\sqrt2}]$ × $[\frac{\sqrt3-1}{2\sqrt2}]$ = $\frac{1-\sqrt3}{2}$ Hence,
Question : Which is the largest two-digit prime number?
Option 1: 91
Option 2: 93
Option 3: 97
Option 4: 99
Correct Answer: 97
Solution : 97 is the largest two-digit prime number. Its only two factors are 1 and 97 itself. Hence, the correct answer is 97.
Question : The most important feature of Cabinet system of Government is
Option 1: Individual responsibility
Option 2: Collective responsibility
Option 3: Responsibility to none
Option 4: Non-responsibility
Correct Answer: Collective responsibility
Solution : The correct option is collective responsibility.
The most significant component of a Cabinet form of governance is "collective responsibility." This implies that all Cabinet members, including the Prime Minister, are jointly responsible for government decisions and policies. They must publicly endorse a choice even
Question :
Directions: In the following question, select the related number from the given alternatives. 42 : 20 :: 64 : ?
Option 1: 31
Option 2: 32
Option 3: 40
Option 4: 42
Correct Answer: 31
Solution : Given: 42 : 20 :: 64 : ?
The pattern is as follows – Like, 42 : 20→(42 ÷ 2) – 1 = 21 – 1 = 20 Similarly, follow the same pattern for 64 : ?→(64 ÷ 2) – 1 = 32 – 1
Question : In a mixture of 178 litres, the ratio of water and milk is 5 : 7. How much water should be added to make the ratio of water and milk 3 : 4?
Option 1: $3 \frac{17}{24}$ litres
Option 2: $3 \frac{13}{24}$ litres
Option 3: $2\frac{11}{24}$ litres
Option 4: $2\frac{23}{24}$ litres
Correct Answer: $3 \frac{17}{24}$ litres
Solution : Total quantity = 178 litres Quantity of water = $178 \times \frac{5}{12} = \frac{890}{12}$ litres Quantity of milk = $178 \times \frac{7}{12} = \frac{1246}{12}$ litres Now, after adding $x$ litres of water. $⇒\frac{\frac{890}{12} + x}{\frac{1246}{12}} = \frac{3}{4}$ $⇒\frac{\frac{890+12x}{12}}{ \frac{1246}{12}} = \frac{3}{4}$ $⇒\frac{890+12x}{1246} =
Question : If $\theta$ is an acute angle and $\sin \theta \cos \theta=2 \cos ^3 \theta-\frac{1}{4} \cos \theta$, then the value of $\sin \theta$ is:
Option 1: $\frac{\sqrt{15}-1}{8}$
Option 2: $\frac{\sqrt{15}-1}{4}$
Option 3: $\frac{\sqrt{15}+1}{4}$
Option 4: $\frac{\sqrt{15}-1}{2}$
Correct Answer: $\frac{\sqrt{15}-1}{4}$
Solution : Given that $\sin \theta \cos \theta=2 \cos ^3 \theta-\frac{1}{4} \cos \theta$ ⇒ $\sin \theta=2 \cos ^2 \theta-\frac{1}{4}$ ⇒ $\sin \theta=2-2 \sin ^2 \theta-\frac{1}{4}$ ⇒ $2 \sin ^2 \theta + \sin \theta=\frac{7}{4}$ Let $\sin\theta=x$ Hence, the Expression becomes: $8x^2+4x-7=0$ Comparing with $ax^2+bx+c=0$ $a=8, b=4,$ and $c=-7$
Question : The three racers' speed ratio is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 6 : 8 : 9
Option 2: 4 : 8 : 5
Option 3: 10 : 8 : 3
Option 4: 4 : 6 : 3
Correct Answer: 4 : 6 : 3
Solution : Given: The three racers' speed ratio is 3 : 2 : 4. We know that time is inversely proportional to speed. So, the respective ratio of time = $\frac{1}{3}:\frac{1}{2}:\frac{1}{4}$ = $\frac{12}{3}:\frac{12}{2}:\frac{12}{4}$ [Multiplying each ratio by 12] = 4 : 6 :
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