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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.
Question : Which of the four Vedas contains a collection of magic spells and charms to fend off evil spirits and diseases?
Option 1: Rigveda
Option 2: Samaveda
Option 3: Yajurveda
Option 4: Atharvaveda
Correct Answer: Atharvaveda
Solution : The correct answer is Atharvaveda.
The fourth and final Veda is the Atharvaveda, which offers a compendium of magical spells and charms to ward off bad spirits and ailments. It consists of 730 hymns and over 6,000 mantras, separated into 20 books. Many Atharvavedic hymns
Question : Find the single equivalent discount of 10% and 20%.
Option 1: 26%
Option 2: 28%
Option 3: 30%
Option 4: 32%
Correct Answer: 28%
Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. So, the single discount of two successive discounts of 10% and 20% $ = 10 + 20 - \frac{(10 \times 20) }{ 100} $ $=30-2$ $= 28\%$ Hence, the correct answer is 28%.
Question : Directions: A paper is folded and cut as shown. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : Directions: The bar diagram below shows the production of potatoes (in quintals) from the year 2000 to 2006. Study the diagram and answer the following questions.
During this period, the highest rate of decline in production is:
Option 1: 24.4%
Option 2: 28.22%
Option 3: 33.64%
Option 4: 35.32%
Correct Answer: 33.64%
Solution : The rate of decline can be seen only in 2001, 2002, and 2004. The rate of decline in production in 2004 = $\frac{1640-1240}{1640}×100$ = 24.39% The rate of decline in production in 2002 = $\frac{1085-720}{1085}×100$ = 33.64% The rate of decline in production in 2001
Question : Two buses travel to a place at 45 km/hr and 60 km/hr, respectively. If the second bus takes $5\frac{1}{2}$ hours less than the first for the journey, then the length of the journey is:
Option 1: 900 km
Option 2: 945 km
Option 3: 990 km
Option 4: 1350 km
Correct Answer: 990 km
Solution : Given: The speeds of the two buses are 45 km/hr and 60 km/hr, respectively. The second bus takes $5\frac{1}{2}$ hours less than the first bus. Let the length of the journey be $x$ km. According to the given condition, $⇒ \frac{x}{45}-\frac{x}{60}=\frac{11}{2}$ $⇒ \frac{4x-3x}{180}=\frac{11}{2}$ $⇒
Question : Directions: Select the figure from the given options that can replace the question mark (?) in the following series.
Solution : In the figure given, each alphabet covers half the distance in the anticlockwise direction. Follow the directions to find the next term.
Hence, the second option is correct.
Question : The Muslim Women (Protection of Rights on Marriage) Act of 2019 declares the instant divorce granted by the pronouncement of talaq three times as void and illegal. It provides for imprisonment for a term up to____ and fine to the husband who practised instant Triple Talaq.
Option 1: 2 years
Option 2: 5 years
Option 3: 4 years
Option 4: 3 years
Correct Answer: 3 years
Solution : The correct answer is 3 years.
The Muslim Women (Protection of Rights on Marriage) Act of 2019 declares the instant divorce granted by the pronouncement of talaq three times as void and illegal. It provides for imprisonment for a term of up to 3
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Prime minister, Finance minister, Union Government
Solution : The Prime Minister is a key member of the Union Government, serving as its leader, and the Finance Minister is a specific member of the Union Government with responsibilities related to financial matters. Both the Prime Minister and the Finance Minister are members of the Union
Question : If $\cot A+\cos A=p$ and $\cot A-\cos A=q$, then which of the following relation is correct?
Option 1: $\sqrt{\frac{1}{16pq}}=p^2+q^2$
Option 2: $\frac{1}{4pq}=p^2+q^2$
Option 3: $\sqrt{16pq}=p^2-q^2$
Option 4: $4pq=p^2+q^2$
Correct Answer: $\sqrt{16pq}=p^2-q^2$
Solution : Given: $\cot A+\cos A=p$ and $\cot A-\cos A=q$ $p^{2}=\cot^{2} A+\cos^{2} A+2\cot A.\cos A$ $q^{2}=\cot^{2} A+\cos^{2} A-2\cot A.\cos A$ ⇒ $p^{2}–q^{2}=4\cot A.\cos A$ Also, $pq=\cot^{2} A-\cos^{2} A$ $=\frac{\cos^{2} A–cos^{2}A.\sin^{2} A}{\sin^{2} A}$ $=\frac{\cos^{2} A(1–\sin^{2} A)}{\sin^{2} A}$ $=\cot^{2} A(1–\sin^{2} A)$ $=\cot^{2} A\cos^{2} A$ $=(\cot A\cos A)^{2}$ $\sqrt{pq}=\cot A\cos
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