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Question : The average of 4 consecutive numbers is 64.5. What is the largest number among these numbers?
Option 1: 62
Option 2: 60
Option 3: 67
Option 4: 66
Correct Answer: 66
Solution : Given: The average of 4 consecutive numbers is 64.5. Let the 4 numbers be $x$, $x+1$, $x+2$ and $x+3$, respectively. The sum of the 4 numbers $=x+x+1+x+2+x+3=4x+6$ Use the formula, $\text{Average}=\frac{\text{Sum of all values}}{\text{Total number of values}}$ According to the question, $\frac{4x+6}{4}=64.5$ ⇒ $\frac{4x+6}{4}=64.5$ ⇒
Question : The value of 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] is:
Option 1: $\frac{20}{23}$
Option 2: $\frac{5}{8}$
Option 3: $\frac{5}{7}$
Option 4: $\frac{20}{29}$
Correct Answer: $\frac{20}{29}$
Solution : Given: 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] = $5 ÷ [5+8-\{{4+((4 \times 2) ÷ 4)-(2 ÷ (4 \times 2))}\}]$ = $5 ÷ [5+8-\{{4+(8 ÷ 4)-(2 ÷ 8)}\}]$ = $5 ÷ [5+8-\{{4+\frac{8}{4}-\frac{2}{8}}\}]$ =
Question : The first session of the Indian National Congress was held at:
Option 1: Bombay
Option 2: Madras
Option 3: Calcutta
Option 4: Surat
Correct Answer: Bombay
Solution : The correct option is Bombay.
The first session of the Indian National Congress was held in Bombay (now Mumbai) in 1885. Session at Gokuldas Tejpal Sanskrit College, now known as Elphinstone College.
Question : Simplify: $\left[\frac{1}{5} \text { of }(35-5)+4\right]^2-[9-\{7+(2-3)\}+5]^2$
Option 1: 100
Option 2: 36
Option 3: 25
Option 4: 64
Correct Answer: 36
Solution : Given: $[\frac{1}{5} \text { of }(35-5)+4]^2-[9-\{7+(2-3)\}+5]^2$ Applying BODMAS, = $[\frac{1}{5} \text { of }(35-5)+4]^2-[9-{6}+5]^2$ = $[\frac{1}{5} \text { of }(30)+4]^2-64$ = $[6+4]^2-64$ = $100-64$ = $36$ Hence, the correct answer is 36.
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 was conscious ____ a break in my voice.
Option 1: to
Option 2: of
Option 3: over
Option 4: for
Correct Answer: of
Solution : The second option is the correct answer: of.
"conscious" means to be aware of something. Hence, you must be "conscious of" something
Therefore, the correct answer is "I was conscious of a break in my voice."
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
One month ago, he had lost his (1) __________ in a car crash. He had suffered from head injuries that had sent him into a coma for two weeks. With the crash, his (2) _________career as an F1 racer ended and all his ambitions tied to the sport were (3) __________. He was one of the youngest racers to have made it to the F1 (4) __________ and his skills were (5) _______ by any other racer in his country, they say.
Question:
Select the most appropriate option to fill in the blank number 3.
Option 1: pushed
Option 2: uplifted
Option 3: crushed
Option 4: stopped
Correct Answer: crushed
Solution : The correct choice is the third option.
Crushed is the appropriate choice, as it means to feel overwhelmingly disappointed. This helps convey the intended meaning that he felt overwhelmingly disappointed, as he could not continue his career in Formula 1.
Therefore, the correct answer
Question : If the altitude of a right prism is 10 cm and its base is an equilateral triangle of side 12 cm, then its total surface area (in cm2) is:
Option 1: $(5+3\sqrt3)$
Option 2: $36\sqrt3$
Option 3: $360$
Option 4: $72(5+\sqrt3)$
Correct Answer: $72(5+\sqrt3)$
Solution : Use the formulas: Area of equilateral triangle of side $a =\frac{\sqrt3a^2}{4}$ The perimeter of an equilateral triangle of side $a = 3a$ Total surface area of prism = Perimeter of base × Height + 2 × Base area Height of a right prism = 10
Question : Directions: Study the bar diagram and answer the question. Total number of boys and girls in five different departments of a college.
The respective ratio of the number of girls from the Philosophy department to the number of girls from the Psychology department is:
Option 1: 7 : 11
Option 2: 11 : 7
Option 3: 7 : 10
Option 4: 6 : 11
Correct Answer: 7 : 10
Solution : From the given graph, The number of girls from the Philosophy department = 140 The number of girls from the Psychology department = 200 The required ratio = The number of girls from the Philosophy department : The number of girls from the
Question : Two trains start at the same time from A and B and proceed toward each other at speeds of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B.
Option 1: 875 km
Option 2: 785 km
Option 3: 758 km
Option 4: 857 km
Correct Answer: 875 km
Solution : Let the trains meet after t hours. Speed of train A = 75 km/hr Speed of train B = 50 km/hr Distance covered by train A = 75 × t = 75t Distance covered by train B = 50 × t = 50t Distance
Question : Directions: Which of the answer figures is the exact mirror image of the given problem figure when the mirror is held on the right side?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
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