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Question : If a regular polygon has 5 sides, then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?
Option 1: $60^{\circ}$
Option 2: $36^{\circ}$
Option 3: $90^{\circ}$
Option 4: $100^{\circ}$
Correct Answer: $36^{\circ}$
Solution : Sides of a pentagon, $n$ = 5 Each interior angle of a pentagon = $(\frac{2×5-4}{5})×90^{\circ}$ = $6 × 18^{\circ}$ = $108^{\circ}$ External angle of a pentagon = $\frac{360^{\circ}}{5}$ = $72^{\circ}$ Difference = $108^{\circ}$ – $72^{\circ}$ = $36^{\circ}$ Hence, the correct answer is $36^{\circ}$.
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
Newton _____ the laws of gravitation.
Option 1: was discovered
Option 2: had discovered
Option 3: discovered
Option 4: discovering
Correct Answer: discovered
Solution : The third option is the correct choice.
"Discovered" fits perfectly in the sentence as it is in the simple past tense and conveys that Newton made the discovery of the laws of gravitation.
The option had discovered is incorrect since the sentence doesn't have a
Question : Directions: Find the missing number from the given responses in the following question.
Option 1: 72
Option 2: 720
Option 3: 7200
Option 4: 38
Correct Answer: 720
Solution : In each figure, the number in the middle of the figure is the product of the numbers at the corners.
In the first figure→4 × 2 × 3 × 3 = 72 In the second figure→9 × 4 × 2 × 10 = 720 Similarly,
Question : The sum of the two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12%, then the numbers obtained are equal. The smaller number is:
Option 1: 280
Option 2: 210
Option 3: 240
Option 4: 300
Correct Answer: 240
Solution : Given: The sum of two numbers is 520. Let the bigger number be $a$ and the smaller number be $(520 - a)$. The bigger number is decreased by 4% and the smaller number is increased by 12%. So, $a×\frac{96}{100}=(520 - a)×\frac{112}{100}$ ⇒ $96a=(520 - a)×112$
Question : If a healthy freshwater fish is placed in a salt water, what will be the expected consequence?
Option 1: The fish becomes dehydrated and dies
Option 2: The fish becomes bloated and dies
Option 3: The fish suffers from fungal or bacterial diseases and dies
Option 4: There is no observable effect on fish provided there is sufficient food
Correct Answer: The fish becomes dehydrated and dies
Solution : The correct option is The fish becomes dehydrated and dies.
When a healthy freshwater fish is exposed to saltwater (a more concentrated salty environment), it will likely dehydrate and die. This is due to osmosis, which involves the transport of
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. His successful as a lawyer / grew so fast that he soon had / enough money to buy a house.
Option 1: No error
Option 2: grew so fast that he soon had
Option 3: enough money to buy a house
Option 4: his successful as a lawyer
Correct Answer: his successful as a lawyer
Solution : The correct choice is the fourth option.
Explanation: The word "successful" is an adjective, but in this context, we need a noun to convey the idea of achievement or accomplishment. Therefore, "success" (a noun) is the correct term to use.
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows – 1. The line rotates by 45° clockwise. 2. The number of circles on the line increases by 2. Therefore, the following figure will complete the given pattern –
Hence, the second option is correct.
Question : A and B worked together and received a total of Rs. 18,000 for 15 days. A's efficiency in the work was 5 times that of B's. The daily wage of A (in Rs.) was:
Option 1: 800
Option 2: 600
Option 3: 1,200
Option 4: 1,000
Correct Answer: 1,000
Solution : Let the daily wage of A as Wa and the daily wage of B as Wb. Given that A's efficiency is 5 times that of B's. ⇒ Wa = 5 × Wb Also, given that A and B together received a total of Rs. 18,000
Question : The average marks of a class of 35 children is 35. The marks of one of the students, who got 35, were incorrectly entered as 65. What is the average of the class?
Option 1: 33.76
Option 2: 34.14
Option 3: 35.24
Option 4: 36.50
Correct Answer: 34.14
Solution : Difference of incorrect marks = – 65 + 35 = – 30 So, change in average = – $\frac{30}{35}$ = – 0.86 Correct average = 35 – 0.86 = 34.14 Hence, the correct answer is 34.14.
Question : Sentences with spelling errors are given. Select the sentence with No error.
Option 1: Making healtcare more affordable is something I would do as Prescident.
Option 2: Making healtcare more afordable is something I would do as President.
Option 3: Making healthcare more affordable is something I would do as President.
Option 4: Making healthcare more afordable is something I would do as Prescident.
Correct Answer: Making healthcare more affordable is something I would do as President.
Solution : The correct choice is the third option.
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