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Question : Directions: Mohan’s house faces south. He steps out of his house and goes straight for 30 m. From there, he takes two successive right turns and covers a distance of 6 m and 24 m, respectively. Finally, he takes a left turn and walks a distance of 2 m to reach a grocery shop. What is the shortest distance between his house and the grocery shop?
Option 1: 12 m
Option 2: 6 m
Option 3: 8 m
Option 4: 10 m
Correct Answer: 10 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point (Mohan's house), and E is the endpoint (Grocery shop). AB = 30 m; BC = 6 m; CD = 24 m; DE = 2 m; OD
Question : Directions: In the following question, select the related number from the given alternatives. 850 : 863 :: 430 : ?
Option 1: 437
Option 2: 442
Option 3: 435
Option 4: 451
Correct Answer: 437
Solution : Given: 850 : 863 :: 430 : ?
850 : 863→Add all the digits in 850→8 + 5 + 0 = 13 Now, add 13 to 850→850 + 13 = 863 Similarly, 430 : ?→Add all the digits in 430→4 + 3 + 0 =
Question : Which of the following statements is correct? I. If $x = 12, y = -2$ and $z = -10$, then $x^3+y^3+z^3=720$ II. If $x + y = 48$ and $4xy =128$, then the value of $4x^2+4y^2$ is 8960
Option 1: Neither I nor II
Option 2: Only I
Option 3: Both I and II
Option 4: Only II
Correct Answer: Both I and II
Solution : I. $x = 12, y = -2, z = -10$ $x^3+y^3+z^3$ $= 12^3 + (-2)^3 + (-10)^3$ $=1728-8-1000$ $=720$ So, $x^3+y^3+z^3=720$ II. $x + y = 48$ ⇒ $4xy =128$ ⇒ $xy = 32$ ⇒ $4x^2+4y^2=4(x^2+y^2)$ $=4[(x+y)^2-2xy]$ $=4[48^2-2×32]$ $=9216-256$ $=8960$ S0, $4x^2+4y^2=8960$
Question : What is the HCF of 225 and 425?
Option 1: 5
Option 2: 17
Option 3: 25
Option 4: 9
Correct Answer: 25
Solution : Prime factors of 225 = 32 × 52 Prime factors of 425 = 52 × 17 So, the HCF of 225 and 425 = 52 = 25 Hence, the correct answer is 25.
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).
James had been teaching at the university since June.
(1) has been teaching
(2) have been teaching
(3) is teaching
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
The sentence discusses an action that started in the past and has continued up to the present. The present perfect continuous form "has been teaching" is the appropriate tense to indicate this ongoing action.
Question : Under which article of the Constitution can an individual move the Supreme Court directly in case of any violation of fundamental rights?
Option 1: Article 32
Option 2: Article 28
Option 3: Article 29
Option 4: Article 31
Correct Answer: Article 32
Solution : The correct answer is Article 32.
Article 32 is a fundamental right enshrined in Part III of the Indian Constitution. It is often referred to as the " heart and soul" of the Constitution by Dr. B. R. Ambedkar. This is because it
Question : Direction: The table given below shows the statistics of the top 10 scores in IPL 2016. A few entries are missing in the table. Here INN, AVG and SR stand for innings played, batting average, and batting strike rate respectively. Based on the table answer the following question. (Strike rate = $\frac{\text{Runs}}{\text{balls faced}}\times $100) and AVG = $\frac{\text {Runs}}{\text {INN – NOT OUT}}$
What is the difference between the strike rate of Murali Vijay and that of Rohit Sharma?
Option 1: 10.77
Option 2: 12.75
Option 3: 30.77
Option 4: 15.35
Correct Answer: 10.77
Solution : Murali Vijay’s strike rate = $\frac{378}{315}\times100$ = 120 Rohit Sharma’s strike rate = 130.77 Required difference = Rohit Sharma’s strike rate – Murali Vijay’s strike rate Required difference = 130.77 – 120 = 10.77 Hence, the correct answer is 10.77.
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 errors, mark 'No Error' as your answer.
The man / is a / social animal. / No Error
Option 1: social animal
Option 2: The man
Option 3: is a
Option 4: No Error
Correct Answer: The man
Solution : The correct choice is the second option.
The is generally used with a particular person, place, or thing or when the meaning is specific. It is also used to refer to things that are unique. Since man is a general term referring to mankind
Question : The ratio of monthly incomes of A and B is 4 : 5 respectively. The ratio of monthly savings of A and B is 14 : 19 respectively. If the monthly expenditure of A and B is INR 1200 each, then what is the difference between the monthly incomes of A and B?
Option 1: INR 2000
Option 2: INR 4000
Option 3: INR 1000
Option 4: INR 5000
Correct Answer: INR 1000
Solution : Given: The ratio of monthly incomes of A and B is 4: 5 respectively. The ratio of monthly savings of A and B is 14: 19 respectively. Let the ratio of monthly incomes of A and B be $4x: 5x$ respectively. Let the ratio
Question : Parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2. What is the distance between parallel sides?
Option 1: 45 cm
Option 2: 60 cm
Option 3: 50 cm
Option 4: 65 cm
Correct Answer: 50 cm
Solution : Given, the parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2 Area of trapezium = $\frac{1}{2}\times (a+b)\times h$ where $a$ and $b$ are parallel sides and $h$ is the distance between parallel sides. So, $\frac{1}{2}\times(21+14)\times
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