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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.
What is the percentage decrease in the number of parked cycles between 7 pm and 8 pm? (in whole numbers)
Option 1: 30
Option 2: 38
Option 3: 42
Option 4: 45
Correct Answer: 45
Solution : Number of bicycles parked at 7:00 p.m. = 45 Number of bicycles parked at 8:00 p.m. = 55 Percentage decrease = $\frac{\text{The reduction in the number of parked cycles}}{\text{The number of parked cycles at 7 pm}}\times 100$. = $\frac{(45-25)\times 100}{45}$ = 45% approx Hence, the
Question : Directions: When the following figure is folded to form a cube, which letter number will be on the face opposite to the face showing the letter number A1? (The elements are shown to indicate the sides only.)
Option 1: U5
Option 2: O4
Option 3: I3
Option 4: E2
Correct Answer: U5
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite pairs of
Question : The bar graph given here shows the data on the production of cars by three different companies X, Y, and Z over the years. For which of the following years is the percentage rise/fall in the production from the previous year the maximum for company Y?
Option 1: 2019
Option 2: 2018
Option 3: 2016
Option 4: 2017
Correct Answer: 2017
Solution : Production of cars by Y in 2016 = 25 Production of cars by Y in 2017 = 35 Percentage increase from the previous year = $\frac{\text{Production of current year – Production of previous year}}{\text{Production of previous year}}\times100$ = $\frac{35-25}{25}\times100=40$% Production of cars by Y in
Question : Directions: In the following question, select the related word from the given alternatives. Line : Square :: Arc : ?
Option 1: Ring
Option 2: Sphere
Option 3: Circle
Option 4: Ball
Correct Answer: Circle
Solution : Given: Line : Square :: Arc : ?
A square is a geometrical shape that has four equal sides and each side can be drawn using a line. Similarly, a circle is a geometrical shape that consists of a continuous curved line called an arc.
Question : The profit obtained on selling an article for Rs. 310 is equal to the loss incurred on selling that article for Rs. 230. What will be the loss percentage when the selling price is Rs. 180?
Option 1: $16\frac{1}{3}$
Option 2: $16\frac{2}{3}$
Option 3: $33\frac{1}{3}$
Option 4: $33\frac{2}{3}$
Correct Answer: $33\frac{1}{3}$
Solution : According to the question, 310 – Cost price = Cost price – 230 ⇒ Cost price = $\frac{310 + 230}{2}=270$ When selling price = INR 180 Loss percentage = $\frac{270-180}{270}$×100 = $33\frac{1}{3}$% Hence, the correct answer is $33\frac{1}{3}$.
Question : Directions: Select the related letter from the given alternatives. A : F :: N : ?
Option 1: T
Option 2: S
Option 3: U
Option 4: R
Correct Answer: S
Solution : Given: A : F :: N : ?
Like, A + 5 = F Similarly, N + 5 = S So, N is related to S.
Hence, the second option is correct.
Question : How does "El Nino" affect the weather of the Indian subcontinent?
Option 1: El Nino during winter causes warm conditions over the Indian subcontinent, and during summer, it leads to dry conditions and deficient monsoon.
Option 2: El Nino results in better than normal monsoon in India.
Option 3: El Nino during summer causes warm conditions over the Indian subcontinent, and during winter, it leads to dry conditions and deficient monsoon.
Option 4: El Nino only affects the weather in South America; it does not affect Indian weather.
Correct Answer: El Nino during winter causes warm conditions over the Indian subcontinent, and during summer, it leads to dry conditions and deficient monsoon.
Solution : The correct answer is El Nino during winter causes warm conditions over the Indian subcontinent, and during summer, it leads to dry conditions and
Question : If $\frac{2 \sin A-\cos A}{\sin A+\cos A}=1$, then find the value of $\cot A$.
Option 1: $1$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{3}$
Option 4: $2$
Correct Answer: $\frac{1}{2}$
Solution : Given, $\frac{2 \sin A-\cos A}{\sin A+\cos A}=1$ Taking $\sin A$ as common ⇒ $\frac{\sin A(2-\frac{\cos A}{\sin A})}{\sin A(1+\frac{\cos A}{\sin A})}=1$ ⇒ $2-\cot A=1+\cot A$ ⇒ $2\cot A = 1$ ⇒ $\cot A = \frac12$ Hence, the correct answer is $\frac12$.
Question : If $\theta$ is a positive acute angle and $4\cos ^{2}\theta -4\cos \theta +1=0$, then the value of $\tan (\theta -15^{\circ})$is equal to:
Option 1: $0$
Option 2: $1$
Option 3: $\sqrt{3}$
Option 4: $\frac{1}{\sqrt{3}}$
Correct Answer: $1$
Solution : Given: $4\cos ^{2}\theta -4\cos \theta +1=0$ The above equation is written as $⇒(2\cos \theta - 1)^2 = 0$ $⇒2\cos \theta-1 = 0$ $⇒\cos \theta = \frac{1}{2}$ $⇒\cos \theta = \cos60^{\circ}$ $⇒\theta = 60^{\circ}$ Now, putting the value of $\theta$ in $\tan (\theta -15^{\circ})$, we get,
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
My father is very _______ to me; we play football every evening.
Option 1: friendly
Option 2: friends
Option 3: friend-like
Option 4: friendship
Correct Answer: friendly
Solution : The correct choice is the first option.
The adjective friendly is the correct choice in this context because it describes the nature of the relationship between the speaker and their father. "Friendly" means having a kind, pleasant, or amicable disposition towards someone, and it indicates
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