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Question : In a right-angled triangle PQR, right-angled at Q, the length of the side PR is 17 units, the length of the base QR is 8 units, and the length of the side PQ is 15 units. If $\angle RPQ = \sin\alpha $, then $\sin\alpha + \cos\alpha$ is:
Option 1: $\frac{18}{17}$
Option 2: $\frac{23}{17}$
Option 3: $\frac{21}{17}$
Option 4: $\frac{15}{17}$
Correct Answer: $\frac{23}{17}$
Solution : Given, triangle PQR is right-angled at Q with $\angle$RPQ = $\alpha$ PR is 17 units, QR = 8 units, and PQ = 15 units $\sin\alpha+\cos\alpha$ = $\frac{\text{QR}}{\text{PR}}+\frac{\text{PQ}}{\text{PR}}$ = $\frac{8}{17}+\frac{15}{17}$ = $\frac{23}{17}$ Hence, the correct answer is $\frac{23}{17}$.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Her parents will never give their _________ to such an unsuitable match.
Option 1: acquiescence
Option 2: consent
Option 3: agreement
Option 4: willingness
Correct Answer: consent
Solution : The correct answer is in option two.
The correct sentence is: "Her parents will never give their consent to such an unsuitable match."
Consent means permission for something to happen. In this context, it means that the speaker's parents will never give their permission for
Question : Which of the following places in India experiences the lowest temperature?
Option 1: Jaisalmer
Option 2: Leh
Option 3: Munnar
Option 4: Bundelkhand
Correct Answer: Leh
Solution : The correct answer is Leh.
Leh, in the union territory of Ladakh, experiences the lowest temperatures. Leh is in the high-altitude Himalayan region known for its cold winters. It's uncommon for Leh to experience temperatures well below freezing during the winter. In contrast, places
Question : The given chart shows the marks scored by a class X student in different subjects. If the total marks are 1800, then find the difference between the marks scored in science and mathematics.
Option 1: 2
Option 2: 10
Option 3: 1
Option 4: 5
Correct Answer: 10
Solution : As per the given graph, The total mark is 1800. The total degree of marks = 360° The total marks scored in Science = $\frac{82^\circ}{360^\circ}$ × 1800 = 410 The total marks scored in Mathematics = $\frac{84^\circ}{360^\circ}$ × 1800 = 420 $\therefore$ The required difference
Question : Direction: Study the bar diagram and answer the following question. The bar diagram shows the number of bicycles parked in the parking space of a hall at various points in time.
How many times, as mentioned in the graph, is the number of parked cycles above average?
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Correct Answer: 6
Solution : The number of cycles = 95 + 75 + 85 + 65 + 75 + 55 + 65 + 45 + 55 + 35 + 45 + 25 = 720. Total time = 12 hours The average number of cycles parked = $\frac{\text {Total number
Question : Which among the following soils is also known as Regur soil?
Option 1: Black
Option 2: Peaty
Option 3: Alluvial
Option 4: Laterite
Correct Answer: Black
Solution : The correct option is Black.
The soil that is also known as Regur soil is Black soil. Regur soil is a type of clayey soil and it is commonly referred to as Black soil due to its dark colour. This soil contains a large amount
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No Error'.
We talked about writing a will, but it / was one of the best thing you never get / around to doing.
Option 1: We talked about writing a will, but it
Option 2: was one of the best thing you never get
Option 3: around to doing.
Option 4: No Error
Correct Answer: was one of the best thing you never get
Solution : The correct choice is the second option.
The word thing should be plural. The phrase one of the best indicates that multiple things are being referred to, so the word thing should be plural to match
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. BDF : ACE :: NPR : MOQ :: VXZ : ?
Option 1: UVY
Option 2: TUW
Option 3: UWY
Option 4: WUY
Correct Answer: UWY
Solution : Given: BDF : ACE :: NPR : MOQ :: VXZ : ?
Subtract 1 from the place value of each alphabet of the first letter cluster to obtain the second letter cluster – Like, BDF : ACE→B – 1 =A; D – 1 = C;
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.
I have not saw / your sister since she / came to this city.
Option 1: I have not saw
Option 2: No error
Option 3: your sister since she
Option 4: came to this city
Correct Answer: I have not saw
Solution : The correct choice is the first option.
The error lies in the verb tense. The correct form is I have not seen. This is because, with the present perfect tense (have not), the past participle form of the verb
Question : A and B can do a piece of work in nine days. If A does three times the work of B in a given time, the time A alone will take to finish the work is:
Option 1: 4 days
Option 2: 6 days
Option 3: 8 days
Option 4: 12 days
Correct Answer: 12 days
Solution : Given: According to the question, the ratio of 1 day of work of A and B is 3 : 1. Let, the total work done in 9 days = 9 × (3 + 1) = 36 units Work done = Efficiency × Time So,
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