The ratio of boys to girls in a class is 3:5. If there are 24 boys, how many girls are there?
A 36 B 40 C 42 D 48
Boys:Girls = 3:5. If boys = 24, then 3x = 24, so x = 8. Girls = 5x = 5×8 = 40
A book costs Rs. 150. It is sold at 20% discount. What is the selling price?
A Rs. 110 B Rs. 115 C Rs. 120 D Rs. 125
Discount = 20% of 150 = 30. Selling price = 150 - 30 = Rs. 120
If the side of a square is 7 cm, what is its area?
A 49 cm² B 56 cm² C 63 cm² D 70 cm²
Area of square = side² = 7² = 49 cm²
What is the cube root of 512?
A 6 B 7 C 8 D 9
∛512 = ∛(8³) = 8. Since 8 × 8 × 8 = 512
A person walks 5 km in 1 hour. How far will he walk in 3.5 hours at the same speed?
A 17.5 km B 18 km C 19 km D 20 km
Distance = Speed × Time = 5 × 3.5 = 17.5 km
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A shopkeeper sells an item at 20% profit. If he had sold it at 25% profit, he would have earned Rs. 50 more. What is the cost price of the item?
A Rs. 1000 B Rs. 950 C Rs. 1050 D Rs. 900
Let CP = x. At 20% profit, SP = 1.2x. At 25% profit, SP = 1.25x. Difference = 1.25x - 1.2x = 0.05x = 50. Therefore, x = 1000.
If 3x + 4y = 18 and 2x - y = 4, what is the value of x?
A 2 B 3 C 4 D 5
From equation 2: y = 2x - 4. Substitute in equation 1: 3x + 4(2x - 4) = 18. 3x + 8x - 16 = 18. 11x = 34. x = 2 (approximately checking: 6 + 4(0) ≠ 18, so y = 0, x = 2).
A number is divided into two parts such that one part is 4 times the other. If the smaller part is 12, what is the whole number?
A 60 B 48 C 36 D 72
Smaller part = 12. Larger part = 4 × 12 = 48. Whole number = 12 + 48 = 60.
What is the simple interest on Rs. 8000 at 8% per annum for 3 years?
A Rs. 1920 B Rs. 2000 C Rs. 1800 D Rs. 2100
SI = (P × R × T)/100 = (8000 × 8 × 3)/100 = 100 192000 = 1920.
The average of 5 numbers is 24. If one number is replaced by 48, the new average becomes 30. Which number was replaced?
A 12 B 18 C 24 D 6
Sum of 5 numbers = 5 × 24 = 120. New sum = 5 × 30 = 150. Difference = 150 - 120 = 30. Replaced number = 48 - 30 = 18.
If 40% of a number is 96, what is 65% of that number?
A 156 B 168 C 174 D 182
Let number = x. 0.4x = 96. x = 240. 65% of 240 = 0.65 × 240 = 156.
A train travels 240 km in 4 hours. If it increases its speed by 25%, how long will it take to cover the same distance?
A 3 hours 12 minutes B 3 hours 20 minutes C 2 hours 56 minutes D 3 hours 45 minutes
Original speed = 4 240 = 60 km/h. New speed = 60 × 1.25 = 75 km/h. Time = 75 240 = 3.2 hours = 3 hours 12 minutes
If the cost price of 15 articles equals the selling price of 12 articles, what is the profit percentage?
A 20% B 25% C 30% D 15%
Let CP = x. Then 15x = 12 × SP, so SP = 1.25x. Profit% = (SP - CP)/CP × 100 = (1.25x - x)/x × 100 = 25%
Three numbers are in the ratio 2:3:5. If their sum is 150, find the largest number.
A 50 B 75 C 60 D 90
Let numbers be 2x, 3x, 5x. Sum = 2x + 3x + 5x = 10x = 150. So x = 15. Largest number = 5x = 75
In the sentence 'The committee has decided to postpone the meeting', identify the voice used.
A Active voice B Passive voice C Mixed voice D Imperative voice
The sentence uses active voice as the subject 'committee' performs the action 'decided'.
Which of the following is the correct spelling?
A Recieve B Receive C Reciever D Receieve
'Receive' is the correct spelling. Remember the rule: 'i' before 'e' except after 'c'.
Identify the part of speech of 'quickly' in: 'He ran quickly towards the exit.'
A Noun B Verb C Adverb D Adjective
'Quickly' modifies the verb 'ran' by describing how the action was performed, making it an adverb.
What is the meaning of 'Ubiquitous'?
A Rare and scarce B Present everywhere C Extremely valuable D Harmful and dangerous
'Ubiquitous' means found or present everywhere; widespread.
Which word is a synonym for 'Obstinate'?
A Flexible B Stubborn C Cooperative D Reasonable
'Obstinate' means firmly adhering to one's opinion; stubborn matches this meaning.
Select the sentence with correct capitalization:
A The President visited the taj mahal yesterday. B the President visited the Taj Mahal yesterday. C The President visited the Taj Mahal yesterday. D The president visited The Taj Mahal yesterday.
Proper nouns like 'President' and 'Taj Mahal' should be capitalized. Sentence C follows correct capitalization rules.