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Question : The lengths of the three sides of a triangle are 30 cm, 42 cm, and $x$ cm. Which of the following is correct?
Option 1: $12 \leq x<72$
Option 2: $12>x>72$
Option 3: $12<x<72$
Option 4: $12 \leq x \leq 72$
Correct Answer: $12<x<72$
Solution : The sum of the lengths of any two sides of a triangle is greater than the third side. Also, the difference in lengths of any two sides of a triangle is smaller than the third side. According to the question, $(30+42)>x>(42-30)$ ⇒ $72>x>12$ ⇒ $12<x<72$.
Question : Directions: Stanley starts cycling from Point A. He cycles x km towards the east and then turns right and cycles 3 km. He again turns right and cycles for (x + 1) km. He again turns right and cycles for (2x + 1) km. He takes a final right turn and cycles for 1 km to stop at Point B. Point B is 6 km north of Point A. What is the value of x?
Option 1: 9
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 4
Solution : Firstly, we will draw the diagram as per the given instructions –
As we see, the distance (FE) = 2x + 1 is also equal to the distance (AB) + (CD). AB = 6km; CD = 3Km ⇒ 2x + 1 = 6 + 3
Question : The value of $3 \frac{2}{7}+14 \frac{4}{9}+5 \frac{3}{9}$ is:
Option 1: $21 \frac{4}{63}$
Option 2: $25 \frac{4}{63}$
Option 3: $23 \frac{4}{63}$
Option 4: $22 \frac{4}{63}$
Correct Answer: $23 \frac{4}{63}$
Solution : $3 \frac{2}{7}+14 \frac{4}{9}+5 \frac{3}{9}$ = $3 + \frac{2}{7}+14 +\frac{4}{9}+5 +\frac{3}{9}$ = $22 + \frac{18+28+21}{63}$ = $22 +\frac{67}{63}$ = $22 +1+\frac{4}{63}$ = $23\frac{4}{63}$ Hence, the correct answer is $23\frac{4}{63}$.
Question : Directions: In a certain code language, mother teaches science is written as 32 48 6@ and father teaches science is written as 48 6@ #. How is father coded in the given language?
Option 1: 6@
Option 2: 48
Option 3: #
Option 4: 32
Correct Answer: #
Solution : Given: 1. mother teaches science ⇒ 32 48 6@ 2. father teaches science ⇒ 48 6@ #
By comparing the coded sentences, we find that – In sentences 1 and 2, teaches/science and 48/6@ are common. The remaining word and code in sentence
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 76, 99, 135, 185, 250, ?
Option 1: 330
Option 2: 331
Option 3: 328
Option 4: 315
Correct Answer: 331
Solution : Given: 76, 99, 135, 185, 250, ?
Follow the pattern to obtain the next term.
So, 331 is the missing term in the given series. Hence, the second option is correct.
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Clothes, Shoes, Shirts
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Given: Clothes, Shoes, Shirts
Shirts come under the category of clothes but shoes are not related to shirts or clothes. Therefore, the circle of shirts should be completely inside the circle of clothes and there must be no intersection between the circle of shirts and clothes
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.
I know___ certain that he has gone to England.
Option 1: with
Option 2: of
Option 3: by
Option 4: for
Correct Answer: for
Solution : The correct choice is the fourth option.
Explanation: "I know for certain" is a common phrase that means to be absolutely sure or confident about something. It accurately conveys the intended meaning of the sentence.
So, the sentence would be: "I know for certain that
Question : 'Booting the system' means:
Option 1: Loading the operating system.
Option 2: Dismissing the computer.
Option 3: Running an application program called "booting".
Option 4: Physically kicking the computer.
Correct Answer: Loading the operating system.
Solution : The correct option is Loading the operating system.
By putting an operating system (OS) into the computer's main memory, often known as RAM, a system is booted. The word "boot" is short for "bootstrap" or " bootstrap load" and describes the
Question : The bar graph shows the total production and export of computers (in thousands) by a company in three years. Find the average export by the company in the given years.
Option 1: 12,000
Option 2: 15,000
Option 3: 16,000
Option 4: 10,000
Correct Answer: 10,000
Solution : Total export in the three years = 11000 + 14000 + 5000 = 30000 So, the average = $\frac{30000}{3}=10000$ Hence, the correct answer is 10,000.
Question : Which one of the following is connected with the transport of water in plants?
Option 1: Phloem
Option 2: Xylem
Option 3: Epidermis
Option 4: Cambium
Correct Answer: Xylem
Solution : The correct option is the Xylem.
The xylem is a vital component of a plant's vascular system that transports water and nutrients. It is made up of several cell types, such as tracheids, vessels, xylem fibres and xylem parenchyma, each with a distinct purpose to
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