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Question : Find the mean proportion of $x^3y$ and $xy^3$.
Option 1: $x^2y^2$
Option 2: $x^3y^3$
Option 3: $xy$
Option 4: $x^4 y^4$
Correct Answer: $x^2y^2$
Solution : Let the mean proportion be $a$ Given numbers, $x^3y$ and $xy^3$ ⇒ $a^2=x^3y\times xy^3$ ⇒ $a^2=x^4y^4$ ⇒ $a=x^2y^2$ Hence, the correct answer is $x^2y^2$.
Question : Directions: Select the option in which the two numbers are related in the same way as the numbers in the given number pair. 19 : 57 :: ? : ?
Option 1: 23 : 47
Option 2: 31 : 91
Option 3: 29 : 87
Option 4: 17 : 47
Correct Answer: 29 : 87
Solution : Given: 19 : 57 :: ? : ?
Like, 19 : 57→19 × 3 = 57
Let's check the options – First Option: 23 : 47→23 × 3 = 69 ≠ 47 Second Option: 31 : 91→31 × 3 = 93 ≠ 91
Question : Directions: Five houses K, L, M, N, and O are situated in a row, all facing the north. M is to the immediate left of L. K is between O and M. N is third to the right of K. Which house is exactly in the middle?
Option 1: K
Option 2: L
Option 3: M
Option 4: N
Correct Answer: M
Solution : Given: I. M is to the immediate left of L.
II. K is between O and M. N is third to the right of K.
So, K is in the middle. Hence, the third option is correct.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
He said, 'Let the show begins'.
(1) 'Let the show to begin'
(2) 'Let's the show begin'
(3) 'Let the show begin'
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The third option is the correct choice.
The sentence is in the direct speech. The causative verb let is followed by the base form of the verb, that is, begin, as it is an imperative sentence.
Therefore, the correct sentence is: Let the show
Question : Select the correct indirect form of the given sentence. The small girl said, “I have never been here before.”
Option 1: The small girl said that I have never been there before.
Option 2: The small girl said that she had never been there before.
Option 3: The small girl said that she has never been there before.
Option 4: The small girl said that she had never been here before.
Correct Answer: The small girl said that she had never been there before.
Solution : The second option is the correct answer.
Indirect form, also known as indirect speech or reported speech, is a way of expressing someone else's words or statements without quoting them directly. Narration Conversion:
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?
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 MN). So, the left side of the
Question : The country's 12th Indian Institute of Management (IIM) has been started at _______ in Uttarakhand.
Option 1: Kashipur
Option 2: Dehradun
Option 3: Haridwar
Option 4: Haldwani
Correct Answer: Kashipur
Solution : Correct Answer is Kashipur
Indian Institute of Management also known as IIM Kashipur, was established in Kashipur under the Eleventh Five Year Plan set up by the Government of India in 2011.
The union cabinet, chaired by Prime Minister Narendra Modi, approved the proposal to
Question : Which of the following was established by Jyotirao Govindrao Phule in 1873 to fight against idolatry and the caste system?
Option 1: Shree Narayan Guru Dharma Paripalana (SNDP) Movement
Option 2: Satyashodhak Samaj
Option 3: Young Bengal Movement
Option 4: Arya Samaj
Correct Answer: Satyashodhak Samaj
Solution : The correct answer is Satyashodhak Samaj.
Satyashodhak Samaj, established by Jyotiba Phule on September 24, 1873, in Pune, Maharashtra, was a pioneering social reform society. This organisation aimed to alleviate the hardships faced by marginalised communities, with a particular focus on Dalits and
Question : A 40% discount is offered on an item. By applying a promo code, the customer wins 10% cash back. What is the effective discount?
Option 1: 50.6%
Option 2: 46%
Option 3: 50%
Option 4: 14%
Correct Answer: 46%
Solution : Given: 1st discount = 40% Second discount by applying a promo code = 10% We know that, Equivalent discount = $(a+b-\frac{a×b}{100}$)%, Where $a,b$ are successive discounts. So, Equivalent discount of two successive discounts of 40% and 10% $=40 + 10-\frac{40\times 10}{100}= 46\%$ Hence, the correct
Question : ABC is an isosceles triangle such that AB = AC, $\angle$ABC = 55°, and AD is the median to the base BC. Find the measure of $\angle$BAD.
Option 1: 50°
Option 2: 55°
Option 3: 35°
Option 4: 90°
Correct Answer: 35°
Solution : Given, ABC is an isosceles triangle with AB = AC $\angle$ ABC = 55° AD is the median to the base BC which bisects $\angle$BAC By angle sum property in $\triangle$ABC, $\angle$BAC + $\angle$ABC + $\angle$ACB = 180° or, $\angle$BAC + 55° + 55° =
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