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Question : The sum of squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
Option 1: 30
Option 2: 33
Option 3: 36
Option 4: 45
Correct Answer: 33
Solution : Let the numbers be $n–1, n$ and $n+1$. $(n–1)^{2} + (n)^{2} + (n+1)^{2} = 365$ or, $n^2 – 2n+1+n^2+n^2+2n+1 = 365$ or, $3n^2 = 365–2$ or, $3n^2 = 363$ or, $n^2 = 121$ or, $n = 11$ So, 10, 11 and 12 are the numbers.
Question : The area of the rhombus is 216 cm2 and the length of its one diagonal is 24 cm. The perimeter (in cm) of the Rhombus is:
Option 1: 52
Option 2: 60
Option 3: 120
Option 4: 100
Correct Answer: 60
Solution : Area of Rhombus = 216 cm2 Length of one of the diagonals ($d_1$) = 24 cm We know, the area ($A$) of a Rhombus = $\frac{1}{2}d_1d_2$ $⇒d_2 = \frac{2A}{d_1}$ $⇒d_2 = \frac{2×216}{24}$ $⇒d_2 = 18$ cm Also, the diagonals of a Rhombus bisect each
Question : In India, special economic zones were established to enhance:
Option 1: Free trade
Option 2: Foreign Investment
Option 3: Employment
Option 4: Technology Development
Correct Answer: Foreign Investment
Solution : The correct answer is Foreign Investment.
In India Special Economic Zones are established under the The Special Economic Zones Act, 2005. The first Special Economic Zone in India is the Kandla Special Economic zone, which was set up in the year 1965. A SEZ
Question : Being the non -member , who among the following can participate in the proceedings of either house of the parliament without having right to vote ?
Option 1: Chief justice of india
Option 2: President of India
Option 3: Comptroller and Auditor General
Option 4: Attorney General
Correct Answer: Attorney General
Solution : The correct option is Attorney General.
The Attorney General of India is a non-member of the Indian Parliament who can participate in the proceedings of either house but does not have the right to vote. The Attorney General serves as the government's senior legal
Question : Which of the following places is decided to be the host of the FINA World Championships (25m) 2022?
Option 1: Hangzhou, China
Option 2: Melbourne, Australia
Option 3: Abu Dhabi, United Arab Emirates
Option 4: Budapest, Hungary
Correct Answer: Melbourne, Australia
Solution : The correct option is Melbourne, Australia.
From December 13 to December 18, 2022, Melbourne, Australia, served as the host city for the 16th FINA World Swimming Championships (25m) at the Melbourne Sports and Aquatic Centre.
Question : Kadam Rasul Mosque, whose construction is characterised by the use of bricks and black marble, is situated at__________.
Option 1: Gaur
Option 2: Purnea
Option 3: Alwar
Option 4: Mandu
Correct Answer: Gaur
Solution : The correct option is Gaur.
Kadam Rasul Mosque, known for its black marble and brick construction, is situated in Gaur, Malda, West Bengal. It was built during the reign of Sultan Naseeruddin Nusrat Shah in the 15th century and houses a stone impression believed
Question : The average age of 5 children in a family is 15 years. The average age of children together with their father and mother is 25 years. If the father is older than the mother by 4 years, then find the age of the mother (in years).
Option 1: 46
Option 2: 48
Option 3: 52
Option 4: 44
Correct Answer: 48
Solution : Let the age of the mother be $M$ years. We know that the average age of the 5 children is 15 years. Therefore, the sum of the ages of the 5 children is (15 × 5) = 75 years. Also, the average age of the
Question : If $r\sin\theta=1$, $r\cos\theta=\sqrt{3}$, then the value of $(\sqrt{3}\tan\theta+1)$ is:
Option 1: $\sqrt{3}$
Option 2: $\frac{1}{\sqrt{3}}$
Option 3: $1$
Option 4: $2$
Correct Answer: $2$
Solution : Given: $r\sin\theta=1$, $r\cos\theta=\sqrt{3}$ $⇒\frac{r\sin\theta}{r\cos\theta}=\frac{1}{\sqrt{3}}$ $⇒\tan\theta=\frac{1}{\sqrt{3}}$ $⇒\sqrt{3}\tan\theta=1$ $\therefore\sqrt{3}\tan\theta+1=2$ Hence, the correct answer is $2$.
Question : According to the Census 2011, which among the following is the least populated Union territory?
Option 1: Chandigarh
Option 2: Lakshadweep
Option 3: Dadra and Nagar Haveli
Option 4: Daman and Diu
Correct Answer: Lakshadweep
Solution : The correct option is Lakshadweep.
According to the 2011 census, Lakshadweep has the lowest population in the Union territory, with a population figure of 64,429. Uttar Pradesh is the most populous state in India.
Question : What is the thick vein present in the middle of the leaf called?
Option 1: Midrib Venation
Option 2: Leaf venation
Option 3: Reticulate venation
Option 4: Parallel venation
Correct Answer: Midrib Venation
Solution : The correct option is Midrib Venation.
The thick vein in the centre of a leaf is known as the midrib. The midrib offers structural support to the leaf of a channel for water, nutrients, and sugars to be transported between the leaf and the
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