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Question : If m$\angle$C = m$\angle$Z and AC = XZ, which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?
Option 1: AB = AC
Option 2: BC = YZ
Option 3: AB = XY
Option 4: BC = AB
Correct Answer: BC = YZ
Solution : We have, m$\angle$C = m$\angle$Z and AC = XZ. If BC = YZ, then by SAS congruency rule ΔABC and ΔXYZ are congruent. Hence, the correct answer is BC = YZ.
Question : Directions: Study the bar chart given below and answer the following questions:
For company R, if the expenditure had increased by 20% in the year 2001 from the year 2000 and the company had earned a profit of 10% in 2000, the company's income in the year 2000 was (in Rs. crore):
Option 1: 41.25
Option 2: 35.75
Option 3: 37.25
Option 4: 38.5
Correct Answer: 41.25
Solution : As per the graph, Let the expenditure of the company R in the year 2000 = Rs. $x$ crore If the expenditure had increased by 20% in the year 2001 from the year 2000. $⇒(1+\frac{20}{100}) × x = 45$ $⇒\frac{120}{100}x = 45$ $⇒x = 37.5
Question : Nita is telling her friend about the smallest planet in our solar system. Which of the following planets is she talking about?
Option 1: Earth
Option 2: Mars
Option 3: Mercury
Option 4: Venus
Correct Answer: Mercury
Solution : The correct option is Mercury
Nita is referring to the smallest planet in our solar system, Mercury. It is the closest planet to the Sun and has a compact size, making it smaller than other planets like Venus, Earth, and Mars. Despite its small size,
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are given alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
Neither parties deserves our help.
(1) parties deserve
(2) parties deserved
(3) party deserves
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The fourth option is the correct choice.
Explanation: The original sentence, "Neither parties deserves our help", contains a subject-verb agreement error. The correct form should be "Neither party deserves our help". "Neither" is used to point out a singular entity here, so it should
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 19 + 27 – 4 ÷ 2 × 3 = 20
Option 1: – and ÷; 4 and 3
Option 2: ÷ and ×; 19 and 27
Option 3: – and +; 27 and 2
Option 4: + and ×; 3 and 2
Correct Answer: – and ÷; 4 and 3
Solution : Given: 19 + 27 – 4 ÷ 2 × 3 = 20
Let's check each option – First Option: – and ÷; 4 and 3 On interchanging the mathematical signs and numbers, we get – 19 + 27 ÷ 3
Question : Directions: In each of the following questions, select the one that is different from the other three alternatives.
Option 1: 357
Option 2: 581
Option 3: 698
Option 4: 784
Correct Answer: 698
Solution : Let's check the options – First option: 357; 357 ÷ 7 = 51 (multiple of 7) Second option: 581; 581 ÷ 7 = 83 (multiple of 7) Third option: 698; 698 ÷ 7 = 99.7 (not a multiple of 7) Fourth option: 784; 784 ÷
Question : The phenomenon which causes mirage is:
Option 1: interference
Option 2: diffraction
Option 3: polarisation
Option 4: total internal reflection
Correct Answer: total internal reflection
Solution : The correct option is total internal reflection.
The phenomenon of total internal reflection (TIR) happens when light travelling through a denser media meets the border of a less dense medium at a sufficiently large angle, causing the light to be reflected into the
Question : Begum Hazrat Mahal led the 1857 revolt from :
Option 1: Lucknow
Option 2: Kanpur
Option 3: Benares
Option 4: Allahabad
Correct Answer: Lucknow
Solution : The correct option is - Lucknow
Begum Hazrat Mahal played a significant role in the Indian Rebellion of 1857, which is also known as the Indian Mutiny or the Sepoy Mutiny. She was a prominent figure in the uprising and is remembered for her leadership.
Question : Which among the following films received the Filmfare award for the Best Film popular choice in 2022?
Option 1: Ramprasad Ki Tehrvi
Option 2: Rashmi Rocket
Option 3: shershaah
Option 4: Sardar Udham
Correct Answer: shershaah
Solution : The correct answer is shershaah.
At the 67th Filmfare Awards in 2022, "Shershaah" took up the Best Film (Popular Choice) Award. Sidharth Malhotra and Kiara Advani's biographical movie won several awards, including Best Film. Vishnuvardhan, a filmmaker, won Best Director. In addition, the movie took
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line PQ). So, the left side of the
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