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Question : A shopkeeper sells 105 m of cloth for Rs. 12600 at a profit of Rs. 20 per metre of cloth. What is the cost price of 20 m cloth?
Option 1: Rs. 4000
Option 2: Rs. 2000
Option 3: Rs. 1000
Option 4: Rs. 3000
Correct Answer: Rs. 2000
Solution : Given, A shopkeeper sells 105 m of cloth for Rs. 12600. Profit = Rs. 20 per metre of cloth We know that cost price = Selling price – Profit 1 metre of cloth = Rs. 20 profit ⇒ Total profit in selling 105 m
Question : Study the given triangle and find the length of BC.
Option 1: $\frac{5}{2}$
Option 2: 6
Option 3: 5
Option 4: 3
Correct Answer: 5
Solution : Given $\angle A = 30°$ We have to find the value of BC i.e., $x$. $\sin 30° = \frac{x}{10}$ ⇒ $\frac{1}{2}=\frac{x}{10}$ ⇒ $x=5$ units Hence, the correct answer is 5.
Question : If $\frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}=3$, then what is the value of $(x+y+z)^3$?
Option 1: 0
Option 2: 1
Option 3: 2
Correct Answer: 0
Solution : Given:$\frac{x^2}{yz}+\frac{y^2}{zx}+\frac{z^2}{xy}=3$ We know the identity, if $(x+y+z)=0$, then $(x^3+y^3+z^3)=3xyz$ Take the LCM of the given expression, we get– $\frac{x^3+y^3+z^3}{xyz}=3$ ${x^3+y^3+z^3}=3(xyz)$ So, $(x+y+z)=0$ The value of $(x+y+z)^3=0$ Hence, the correct answer is 0.
Question : Choose the correct meaning of the underlined word in the given sentence.
Don't you think the dog would need a kennel to stay?
Option 1: A type of toy
Option 2: A type of seed
Option 3: A house for a dog or a cat
Option 4: A small piece of material
Correct Answer: A house for a dog or a cat
Solution : The correct choice is the third option.
A kennel is a shelter or a place where dogs or cats are housed or kept. It is a shelter or structure, often made of wood or metal, designed specifically
Question : Directions: In the following question, select the missing number of the given series. 283, 295, 281, 297, 279, ?
Option 1: 294
Option 2: 298
Option 3: 299
Option 4: 291
Correct Answer: 299
Solution : Given: 283, 295, 281, 297, 279, ?
Add and subtract alternatively consecutive even numbers starting from 12 in the series, to get the required missing number – 283 + 12 = 295; 295 – 14 = 281; 281 + 16 = 297; 297 – 18
Question : A sum of money is divided among A, B, C, and D in the proportion of 7 : 6 : 3 : 5. If B gets Rs. 270 more than C, then the share of D is:
Option 1: Rs. 250
Option 2: Rs. 350
Option 3: Rs. 450
Option 4: Rs. 455
Correct Answer: Rs. 450
Solution : Let money received by A, B, C, and D be 7$x$, 6$x$, 3$x$, and 5$x$ respectively. According to the question, 6$x$ = 3$x$ + 270 ⇒ 3$x$ = 270 ⇒ $x$ = 90 Money received by D = 5$x$ = 5 × 90 =
Question : In the context of nutrients, the terms "tyrosine", "glycine", and "ornithine" are types of:
Option 1: Vitamins
Option 2: Calcium
Option 3: Proteins
Option 4: Amino acids
Correct Answer: Amino acids
Solution : The correct answer is Amino acids.
Tyrosine, glycine, and ornithine are names used to describe different types of amino acids in the context of nutrients. The building components of proteins are amino acids. Although the natural world contains around 300 amino acids, only
Question : Which of the following pair of "player medals" is correct regarding the performance of India in the 2022 Commonwealth Games?
I. Bajrang Punia - Gold II. Sakshi Malik - Gold
Option 1: Only II
Option 2: Only I
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Both I and II
Solution : The correct option is Both I and II.
Bajrang Punia secured the gold medal by delivering a commanding performance in the 65kg final bout against Canada's Lachlan McNeil at the 2022 Commonwealth Games in Birmingham. Similarly, Sakshi Malik emerged victorious in the
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which conclusions logically follow(s) from the statements. Statements: I. Some tyres are bats. II. All tyres are laws. Conclusions: I. All laws are bats. II. All bats are tyres.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let analyse the conclusions – Conclusion (I): All laws are bats – From the Venn diagram, it is evident that the circles representing laws and bats overlap
Question : A merchant marked his goods 20% above the cost price and sold the goods at a profit of 8%. The rate of discount is:
Option 1: 15%
Option 2: 10%
Option 3: 12%
Option 4: 8%
Correct Answer: 10%
Solution : Let the cost price be 100. A merchant marked his goods 20% above the cost price. So, marked price = 100 + 20 = 120 Profit = 8% So, selling price = 100 + 8 = 108 $\therefore$ Discount percentage on marked price = $\frac{120-108}{120}×100=\frac{12}{120}×100=10\%$
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