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Question : A, B, and C received an amount of Rs. 8400 and distributed it among themselves in the ratio 6 : 8 : 7, respectively. If they save in the ratio of 3 : 2 : 4, respectively, and B saves Rs. 400, then what is the ratio of the expenditures of A, B, and C respectively?
Option 1: 6 : 8 : 7
Option 2: 8 : 6 : 7
Option 3: 9 : 14 : 10
Option 4: 12 : 7 : 9
Correct Answer: 9 : 14 : 10
Solution : Given: A, B, and C received an amount of Rs. 8400. The sum A will receive $= 6 ×\frac{8400}{6+8+7} = 6 × \frac{8400}{21} = 2400$ Amount B will receive $= 8 × \frac{8400}{6+8+7} = 8 × \frac{8400}{21}= 3200$ The amount C
Question : Direction: In the following question, select the related number from the given alternatives.
23 : 13 :: 54 : ?
Option 1: 40
Option 2: 41
Option 3: 44
Option 4: 39
Correct Answer: 44
Solution : Given:
In the first pair, 23 – 13 = 10
Similarly, in the second pair, same pattern is observed when 44 is subtracted from 54, i.e. 54 – 44 = 10
Hence, third option is correct.
Question : An 11-digit number 7823326867X is divisible by 18. What is the value of X?
Option 1: 6
Option 2: 4
Option 3: 8
Option 4: 2
Correct Answer: 2
Solution : Given: 7823326867X is divisible by 18. So, it is divisible by 2 and 9 as well. For it to be divisible by 2, X can be 0, 2, 4, 6, 8 Sum of digits = 52 + X For it to be divisible by 9,
Question : A is a working partner and B is a sleeping partner in a business. A invested Rs. 30,000 and B invested Rs. 50,000. A receives 20% of the profit for managing the business and the rest is divided in proportion to their capital. What does B get out of the profit of Rs. 10,000?
Option 1: Rs. 5,500
Option 2: Rs. 5,000
Option 3: Rs. 4,500
Option 4: Rs. 4,000
Correct Answer: Rs. 5,000
Solution : A receives 20% of the total profit for managing the business. A gets 20% of Rs. 10,000 = Rs. 2,000 The remaining profit = Rs. 10,000 – Rs. 2,000 = Rs. 8,000 This remaining profit is divided in proportion to their capital. The total
Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative.
Apple's success attracted the _____________ of the computer giant IBM.
Option 1: attending
Option 2: attend
Option 3: attention
Option 4: attentive
Correct Answer: attention
Solution : The correct option is the third option.
Explanation:
In the given sentence, attracted is a verb that requires a noun to complete its meaning. The noun form needed in this context is attention, as it correctly conveys the idea that Apple's success drew
Question : If $\cos A=\frac{1}{11}$, then find the value of cot A.
Option 1: $\frac{2 \sqrt{30}}{11}$
Option 2: $2 \sqrt{30}$
Option 3: $\frac{1}{2 \sqrt{30}}$
Option 4: $\frac{11}{2 \sqrt{30}}$
Correct Answer: $\frac{1}{2 \sqrt{30}}$
Solution : Given, $\cos A=\frac{1}{11}$ We know, $\sin^2\theta+\cos^2\theta=1$ ⇒ $\sin^2A+\cos^2A=1$ ⇒ $\sin^2A+\frac{1}{11^2}=1$ ⇒ $\sin^2A=1-\frac{1}{121}$ ⇒ $\sin^2A=\frac{121-1}{121}$ ⇒ $\sin^2 A=\frac{120}{121}$ ⇒ $\sin A=\sqrt{\frac{120}{121}}$ ⇒ $\sin A=\frac{2\sqrt{30}}{11}$ ⇒ $\cot A = \frac{\cos A}{\sin A}$ ⇒ $\cot A = \frac{\frac{1}{11}}{\frac{2\sqrt{30}}{11}}$ ⇒ $\cot A=\frac{1}{2\sqrt{30}}$ Hence, the correct answer is $\frac{1}{2\sqrt{30}}$.
Question : Select the option that expresses the given sentence in indirect speech. She said to me, “Don’t worry about me.”
Option 1: She told me don’t worry about he
Option 2: She told me to not be worried about her
Option 3: She told me to not to worry about me
Option 4: She told me not to worry about her
Correct Answer: She told me not to worry about her
Solution : The fourth option is correct.
Direct speech is a form of speech or writing where the actual words spoken by a person are quoted within quotation marks and attributed to the speaker. Narration conversion:
Question : Select the correct active form of the given sentence.
A complaint has been made by him against the poor service of the hotel staff.
Option 1: He has made a complaint against the poor service of the hotel staff.
Option 2: He had made a complaint against the poor service of the hotel staff.
Option 3: He will make a complaint against the poor service of the hotel staff.
Option 4: He is making a complaint against the poor service of the hotel staff.
Correct Answer: He has made a complaint against the poor service of the hotel staff.
Solution : The correct choice is the first option.
Active voice is the voice where the subject is the doer of the action. When transforming a sentence from the passive voice to the active voice
Question : What will be the net discount (in percentage) after the two successive discounts of 40% and 20%?
Option 1: 60%
Option 2: 68%
Option 3: 52%
Option 4: 42%
Correct Answer: 52%
Solution : Given: First discount = 40% and second discount = 20% Net discount = $(x+y-\frac{xy}{100})$%, where $x$ and $y$ are two successive discounts. = $40+20-\frac{\text{40×20}}{100}$ = $60-\frac{\text{800}}{100}$ = $60-8$ = $52$ So, the net discount = 52% Hence, the correct answer is 52%.
Question : Directions: By interchanging the given two signs, which of the following equations will NOT be correct? × and – I. 17 – 21 + 86 ÷ 2 × 13 = 387 II. 10 + 63 – 12 × 259 ÷ 7 = 739
Option 1: Equation I
Option 2: Equation II
Option 3: Neither I nor II
Option 4: Both I and II
Correct Answer: Equation II
Solution : Equation I: 17 – 21 + 86 ÷ 2 × 13 = 387 On interchanging the mathematical signs, we get – 17 × 21 + 86 ÷ 2 – 13 = 387 On solving the L.H.S. of the equation – = 17 × 21
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