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A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:- a)400 kg
- b)560 kg
- c)600 kg
- d)640 kg
Correct answer is option 'C'. Can you explain this answer?
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
a)
400 kg
b)
560 kg
c)
600 kg
d)
640 kg
|
Pk Academy answered |
By the rule of allegation, we have:
Profit on 1st part Profit on 2nd part
8% 18%
\ /
Mean Profit
14%
/ \
4 6
Ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.
Quantity of 2nd kind = (3/5 ) x 1000 kg = 600 kg.
Profit on 1st part Profit on 2nd part
8% 18%
\ /
Mean Profit
14%
/ \
4 6
Ratio of 1st and 2nd parts = 4 : 6 = 2 : 3.
Quantity of 2nd kind = (3/5 ) x 1000 kg = 600 kg.
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What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?- a)Rs. 2.04
- b)Rs. 3.06
- c)Rs. 4.80
- d)Rs. 8.30
Correct answer is option 'A'. Can you explain this answer?
What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
a)
Rs. 2.04
b)
Rs. 3.06
c)
Rs. 4.80
d)
Rs. 8.30
|
|
Pk Academy answered |
C.I. when interest compounded yearly
= Rs. [ 5000 x (1 + 4/100) x {1 + (1/2 x 4)/ 100}]
= Rs. 5000 x 26/25 x 51/50
= Rs. 5304.
and, C.I. when interest is compounded half-yearly
= Rs.5000 x (1 + 2 /100) ^3.
= Rs. 5000 x 51/50 x 51/50 x 51/50.
= Rs. 5306.04
The required Difference = Rs. (5306.04 - 5304) = Rs. 2.04.
= Rs. [ 5000 x (1 + 4/100) x {1 + (1/2 x 4)/ 100}]
= Rs. 5000 x 26/25 x 51/50
= Rs. 5304.
and, C.I. when interest is compounded half-yearly
= Rs.5000 x (1 + 2 /100) ^3.
= Rs. 5000 x 51/50 x 51/50 x 51/50.
= Rs. 5306.04
The required Difference = Rs. (5306.04 - 5304) = Rs. 2.04.
The ratio between the perimeter and the breadth of a rectangle is 5: 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?- a)16 cm
- b)18 cm
- c)24 cm
- d)Data inadequate
Correct answer is option 'B'. Can you explain this answer?
The ratio between the perimeter and the breadth of a rectangle is 5: 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
a)
16 cm
b)
18 cm
c)
24 cm
d)
Data inadequate
|
|
Pk Academy answered |
According to the question,
⇒ 2(l + b)/b = 5/1
⇒ 2l + 2b = 5b
⇒ 3b = 2l
⇒ b = (2/3) l
Given, Area = 216 cm2
So, l x b = 216
⇒ l x (2/3) l = 216.
⇒ l^2 = 324
⇒ l = 18 cm.
⇒ 2(l + b)/b = 5/1
⇒ 2l + 2b = 5b
⇒ 3b = 2l
⇒ b = (2/3) l
Given, Area = 216 cm2
So, l x b = 216
⇒ l x (2/3) l = 216.
⇒ l^2 = 324
⇒ l = 18 cm.
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?- a)1/15
- b)25/57
- c)35/256
- d)1/221
Correct answer is option 'D'. Can you explain this answer?
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
a)
1/15
b)
25/57
c)
35/256
d)
1/221
|
|
Pk Academy answered |
Let S be the sample space.
Then, n(S) = 52C2 = (52 x 51)/(2x1) = 1326.
Let E = event of getting 2 kings out of 4.
⇒ n(E) = 4C2 = (4 x 3)/ (2 x 1) = 6.
⇒ P(E) =n(E)/n(S) =6/1326 = 1/221.
Then, n(S) = 52C2 = (52 x 51)/(2x1) = 1326.
Let E = event of getting 2 kings out of 4.
⇒ n(E) = 4C2 = (4 x 3)/ (2 x 1) = 6.
⇒ P(E) =n(E)/n(S) =6/1326 = 1/221.
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?- a)240 meters
- b)360 meters
- c)420 meters
- d)600 meters
Correct answer is option 'A'. Can you explain this answer?
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
a)
240 meters
b)
360 meters
c)
420 meters
d)
600 meters
|
Codebreakers answered |
Length of the platform = speed of train * extra time taken to cross the platform.
Length of platform = 72 kmph * 12 seconds.
.'. 72 kmph = 5/18 x 72 = 20 m/sec.
Therefore, length of the platform = 20 m/s * 12 sec = 240 meters.
Length of platform = 72 kmph * 12 seconds.
.'. 72 kmph = 5/18 x 72 = 20 m/sec.
Therefore, length of the platform = 20 m/s * 12 sec = 240 meters.
Direct & Indirect Speech:
Tom said, 'I want to visit my friends this weekend'.- a)Tom said he wants to visit his friends that weekend.
- b)Tom said he wanted to visit his friends that weekend.
- c)Tom said he wanted to visit his friends this weekend.
- d)Tom told that he wanted to visit his friends this weekend
Correct answer is option 'B'. Can you explain this answer?
Direct & Indirect Speech:
Tom said, 'I want to visit my friends this weekend'.
Tom said, 'I want to visit my friends this weekend'.
a)
Tom said he wants to visit his friends that weekend.
b)
Tom said he wanted to visit his friends that weekend.
c)
Tom said he wanted to visit his friends this weekend.
d)
Tom told that he wanted to visit his friends this weekend
|
Anuj Nair answered |
Explanation:
Direct Speech:
Tom said, "I want to visit my friends this weekend."
Indirect Speech:
Tom said he wanted to visit his friends that weekend.
Explanation:
- In direct speech, the speaker's actual words are quoted within quotation marks.
- In indirect speech, we report what someone else said without quoting their exact words.
- When changing from direct to indirect speech, the tense of the speaker's original words may need to be shifted.
- In this case, "I want" in the direct speech becomes "he wanted" in the indirect speech because of the shift in tense from present to past.
- The pronoun "I" is changed to "he" to reflect that Tom is the one speaking in the indirect speech.
- "This weekend" remains the same in both direct and indirect speech as it refers to the same time frame.
Direct Speech:
Tom said, "I want to visit my friends this weekend."
Indirect Speech:
Tom said he wanted to visit his friends that weekend.
Explanation:
- In direct speech, the speaker's actual words are quoted within quotation marks.
- In indirect speech, we report what someone else said without quoting their exact words.
- When changing from direct to indirect speech, the tense of the speaker's original words may need to be shifted.
- In this case, "I want" in the direct speech becomes "he wanted" in the indirect speech because of the shift in tense from present to past.
- The pronoun "I" is changed to "he" to reflect that Tom is the one speaking in the indirect speech.
- "This weekend" remains the same in both direct and indirect speech as it refers to the same time frame.
One rectangular plate with length 8 inches, breadth 11 inches and 2 inches thickness is there. what is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?
Correct answer is '3.5'. Can you explain this answer?
One rectangular plate with length 8 inches, breadth 11 inches and 2 inches thickness is there. what is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?
|
Devansh Yadav answered |
Given Data:
- Rectangular plate dimensions: Length = 8 inches, Breadth = 11 inches, Thickness = 2 inches
- Circular rod diameter: 8 inches
- Volume of rectangular plate = Volume of circular rod
Solution:
Step 1: Calculate the Volume of the Rectangular Plate
- Volume of rectangular plate = Length x Breadth x Thickness
- Volume = 8 x 11 x 2 = 176 cubic inches
Step 2: Calculate the Volume of the Circular Rod
- Diameter of circular rod = 8 inches (Radius = 4 inches)
- Volume of circular rod = π x (Radius)^2 x Height
- Given that volume of circular rod = volume of rectangular plate
- π x 4^2 x Height = 176
- Height = 176 / (π x 16) ≈ 3.5 inches
Therefore, the length of the circular rod with a diameter of 8 inches and equal volume to the rectangular plate is approximately 3.5 inches.
- Rectangular plate dimensions: Length = 8 inches, Breadth = 11 inches, Thickness = 2 inches
- Circular rod diameter: 8 inches
- Volume of rectangular plate = Volume of circular rod
Solution:
Step 1: Calculate the Volume of the Rectangular Plate
- Volume of rectangular plate = Length x Breadth x Thickness
- Volume = 8 x 11 x 2 = 176 cubic inches
Step 2: Calculate the Volume of the Circular Rod
- Diameter of circular rod = 8 inches (Radius = 4 inches)
- Volume of circular rod = π x (Radius)^2 x Height
- Given that volume of circular rod = volume of rectangular plate
- π x 4^2 x Height = 176
- Height = 176 / (π x 16) ≈ 3.5 inches
Therefore, the length of the circular rod with a diameter of 8 inches and equal volume to the rectangular plate is approximately 3.5 inches.
In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?
Correct answer is '138'. Can you explain this answer?
In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?
|
Athira Kumar answered |
Explanation:
Total number of participants:
- 139 members participated in the game.
Bye:
- Every time one fellow will get a bye.
Number of matches:
- To choose the champion, we need to have a single elimination tournament where one player advances and one player is eliminated in each match.
- In a single elimination tournament with 139 players, there will be 138 matches played to determine the champion.
- This is because in each match, one player advances while the other is eliminated, leading to one less player for the next match.
Conclusion:
- Therefore, the number of matches required to choose the champion in a game with 139 participants, where one player gets a bye each time, is 138.
Fill in the blank:She has an aversion __________ taking even onion and garlic.- a)with
- b)at
- c)against
- d)to
Correct answer is option 'D'. Can you explain this answer?
Fill in the blank:
She has an aversion __________ taking even onion and garlic.
a)
with
b)
at
c)
against
d)
to
|
Jaya Mehta answered |
Explanation:
Aversion:
- Aversion means a strong dislike or disinclination towards something.
Usage of "to":
- In this sentence, the correct preposition to use with the word "aversion" is "to."
- When expressing dislike towards something, we use "aversion to" followed by the object of dislike.
Example:
- She has an aversion to taking even onion and garlic.
- The preposition "to" is used to show her dislike towards consuming onion and garlic.
Incorrect options:
- Option "with," "at," and "against" are not commonly used with the word "aversion" when expressing dislike towards something.
Aversion:
- Aversion means a strong dislike or disinclination towards something.
Usage of "to":
- In this sentence, the correct preposition to use with the word "aversion" is "to."
- When expressing dislike towards something, we use "aversion to" followed by the object of dislike.
Example:
- She has an aversion to taking even onion and garlic.
- The preposition "to" is used to show her dislike towards consuming onion and garlic.
Incorrect options:
- Option "with," "at," and "against" are not commonly used with the word "aversion" when expressing dislike towards something.
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?- a)1/10
- b)1/4
- c)7/15
- d)8/15
Correct answer is option 'D'. Can you explain this answer?
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?
a)
1/10
b)
1/4
c)
7/15
d)
8/15
|
|
Codebreakers answered |
A can do a work in 15 days and B in 20 days.
A’s 1 day’s work = 1/15.
B′s 1 day′s work = 1/20
(A+B)’s 1 day’s work = (1/15 + 1/20) = 7/60.
(A+B)’s 4 day’s work= (7/60 × 4) = 7/15.
Remaining work= (1-7/15) = 8/15.
A’s 1 day’s work = 1/15.
B′s 1 day′s work = 1/20
(A+B)’s 1 day’s work = (1/15 + 1/20) = 7/60.
(A+B)’s 4 day’s work= (7/60 × 4) = 7/15.
Remaining work= (1-7/15) = 8/15.
Active & Passive Voice:The police caught the culprit.- a)The police caught the culprit.
- b)The culprit were caught be the police.
- c)The culprit was caught be the police.
- d)The culprit caught be the police.
Correct answer is option 'B'. Can you explain this answer?
Active & Passive Voice:
The police caught the culprit.
a)
The police caught the culprit.
b)
The culprit were caught be the police.
c)
The culprit was caught be the police.
d)
The culprit caught be the police.
|
Baishali Patel answered |
Explanation:
Active Voice:
- In the active voice, the subject of the sentence performs the action.
- In this sentence, "The police" is the subject and they are performing the action of "catching" the culprit.
Passive Voice:
- In the passive voice, the subject of the sentence receives the action.
- The passive voice sentence for "The police caught the culprit" is "The culprit was caught by the police."
Analysis:
- Option 'B' is the correct answer because it follows the structure of a passive voice sentence where the subject (culprit) receives the action (being caught) by the police.
- Option 'A' is the active voice version of the sentence.
- Option 'C' is also in the passive voice but has a grammatical error with "be" instead of "by."
- Option 'D' is incorrect as the verb should be in past participle form (caught) in the passive voice.
Overall, option 'B' correctly transforms the active sentence into passive voice by making the culprit the receiver of the action performed by the police.
Active Voice:
- In the active voice, the subject of the sentence performs the action.
- In this sentence, "The police" is the subject and they are performing the action of "catching" the culprit.
Passive Voice:
- In the passive voice, the subject of the sentence receives the action.
- The passive voice sentence for "The police caught the culprit" is "The culprit was caught by the police."
Analysis:
- Option 'B' is the correct answer because it follows the structure of a passive voice sentence where the subject (culprit) receives the action (being caught) by the police.
- Option 'A' is the active voice version of the sentence.
- Option 'C' is also in the passive voice but has a grammatical error with "be" instead of "by."
- Option 'D' is incorrect as the verb should be in past participle form (caught) in the passive voice.
Overall, option 'B' correctly transforms the active sentence into passive voice by making the culprit the receiver of the action performed by the police.
Chapter doubts & questions for DE Shaw - Company Wise Preparation 2024 is part of Interview Preparation exam preparation. The chapters have been prepared according to the Interview Preparation exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Interview Preparation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of DE Shaw - Company Wise Preparation in English & Hindi are available as part of Interview Preparation exam.
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