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Question : A mixture contains liquid A and B in the ratio 5 : 3, respectively. If 3 litres of liquid B is added to it, the ratio of liquid A to liquid B becomes 7 : 6. What is the quantity of liquid A in the mixture?
Option 1: $7 \frac{2}{3}$ litres
Option 2: $9 \frac{1}{3}$ litres
Option 3: $11 \frac{2}{3}$ litres
Option 4: $13 \frac{1}{3}$ litres
Correct Answer: $11 \frac{2}{3}$ litres
Solution : The ratio of liquid A and B = 5 : 3 Quantity of liquid added in B = 3 litres The ratio of liquid A and B after addition = 7 : 6 Let the quantity of the two liquids A and B
Question : Select the correct direct narration of the given sentence. The tutor asked his pupil where he had learnt his English from.
Option 1: The tutor asked his pupil, “Where did you learn your English from? “
Option 2: The tutor asked to his pupil, “Where you had learnt his English from?”
Option 3: The tutor said to his pupil, “Where you are learning English?”
Option 4: The tutor asked his pupil, “Where he have learnt his English from?”
Correct Answer: The tutor asked his pupil, “Where did you learn your English from? “
Solution : The correct choice is the first option.
The steps of conversion are as follows:
Question : Maharshi Dayanand Saraswati founded the Arya Samaj organisation in 1875 at which of the following places?
Option 1: Lahore
Option 2: Delhi
Option 3: Amritsar
Option 4: Bombay
Correct Answer: Bombay
Solution : The correct answer is Bombay.
On April 10, 1875, Dayananda Saraswati founded the Arya Samaj in Bombay. It is a monotheistic reform movement within Indian Hinduism that upholds principles and practices derived from Vedic belief. Proselytisation in Hinduism was first introduced by this organisation.
Question : Which of the following pairs of "tournament – format" is correct?
I. Syed Mushtaq Ali Trophy – T20 II. Vijay Hazare Trophy – 50 overs
Option 1: Only I
Option 2: Neither I nor II
Option 3: Only II
Option 4: Both I and II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
The Syed Mushtaq Ali Trophy is a domestic Twenty20 cricket competition in India. It is named after the famous Indian cricketer Syed Mushtaq Ali and is one of the premier T20 tournaments at the
Question : Select the option that expresses the given sentence in active voice.
The painting was not made by you.
Option 1: You should not make the painting.
Option 2: You does not make the painting.
Option 3: You did not make the painting.
Option 4: You do not make the painting.
Correct Answer: You did not make the painting.
Solution : The correct choice is the third option.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.
The structure
Question : The total surface area of a cone whose radius is 3 cm and height is 4 cm is:
Option 1: $\frac{425}{7} \mathrm{~cm}^2$
Option 2: $\frac{501}{9} \mathrm{~cm}^2$
Option 3: $\frac{475}{8} \mathrm{~cm}^2$
Option 4: $\frac{528}{7} \mathrm{~cm}^2$
Correct Answer: $\frac{528}{7} \mathrm{~cm}^2$
Solution : Radius ($r$) = 3 cm and height ($h$) = 4 cm Let $l$ be the slant height of the cone. We know, $l^2 = r^2 + h^2$ $⇒l^2 = 3^2 + 4^2$ $\therefore l= 5$ cm $\therefore$ Total surface area $=\pi r(r+l)=\frac{22}{7} \times 3
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is (4).
One day a wonderful plate of gold fell into the courtyard of a temple from Heaven at Banaras.
(1) One day at Banaras a wonderful plate of gold fell into the courtyard from Heaven of a temple
(2) One day fell into the courtyard of a temple at Banaras a wonderful plate of gold from Heaven
(3) One day a wonderful plate of gold fell from Heaven into the courtyard of a temple at Banaras
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Explanation:
It maintains the correct word order such as (subject + verb+ object) and conveys the intended meaning that a plate of gold fell from Heaven into the courtyard of a temple at Banaras.
Therefore, the correct
Question : Simplify the following expression. 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}]
Option 1: $\frac{120}{61}$
Option 2: $\frac{61}{120}$
Option 3: $3$
Option 4: $-3$
Correct Answer: $3$
Solution : 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 – (8 – 11)}] = 120 ÷ 15 of 4 + [11 × 4 ÷ 4 of {4 × 2 + 3}] = 120 ÷ 15 of 4 + [11
Question : The sum of the three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is:
Option 1: 273
Option 2: 280
Option 3: 250
Option 4: 286
Correct Answer: 273
Solution : The ratio of 2nd : 3rd = 9 : 13 And the ratio of 1st : 3rd = 2:7 3rd number is common in both ratios, so to make the value equal, we need to multiply by 7 in 9 : 13 and by 13
Question : Directions: Which sequence of mathematical symbols can replace * in the given equation? 8 * 5 * 9 * 31
Option 1: –, ×, =
Option 2: –, =, ×
Option 3: =, ×, –
Option 4: ×, –, =
Correct Answer: ×, –, =
Solution : Given: 8 * 5 * 9 * 31
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: –, ×, = ⇒ 8 – 5 × 9 = 31 Solving
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