100525 + Interview Questions in GENERAL QA IN GENERAL AWARENESS Page 8 InterviewSolution

351.	Mention any two functions of uterus.
Answer» Uterus develops the foetus through formation of placenta, maintains the pregnancy and also expels the baby at the time of parturition.

Discussion

352.	What is cryptorchidism?
Answer» Failure of the testis to descend from abdomen into scrotum which leads to sterility is called cryptorchidism.

Discussion

353.	The diagonal clipping in Amplitude Demodulation (using envelope detector) can be avoided if RC timeconstant of the envelope detector satisfies the following condition, (here W is message bandwidth and ω is carrier frequency both in rad/sec)(a) RC< 1/ W(b) RC> 1/ W(c) RC< 1/ \(\omega\)(d) RC> 1/\(\omega\)
Answer» (a) RC< 1/ W It is seen that to avoid negative peak clipping also said diagonal clipping the RC time constant of detector should be τ< 1/f_m Note fm is maximum modulating frequency i.e. the bandwidth w RC< 1/w

353.

The diagonal clipping in Amplitude Demodulation (using envelope detector) can be avoided if RC timeconstant of the envelope detector satisfies the following condition, (here W is message bandwidth and ω is carrier frequency both in rad/sec)(a) RC< 1/ W(b) RC> 1/ W(c) RC< 1/ \(\omega\)(d) RC> 1/\(\omega\)

Answer»

(a) RC< 1/ W

It is seen that to avoid negative peak clipping also said diagonal clipping the RC time constant of detector should be

τ< 1/f_m

Note fm is maximum modulating frequency i.e. the bandwidth w

RC< 1/w

Discussion

354.	For a Q point near the center of the dc load line, clipping is more likely to occur on the a. Positive peak of input voltage b. Negative peak of output voltage c. Positive peak of output voltage d. Negative peak of emitter voltage
Answer» (c) Positive peak of output voltage

Discussion

355.	If the input voltage to an emitter follower is too large, the output voltage will bea. Smaller b. Larger c. Equal d. Clipped
Answer» The correct answer is: (d) Clipped

Discussion

356.	A housewife spends 60% of her monthly income on grocery, clothes and education in the ratio of 5 ∶ 7 ∶ 10, respectively. If the amount spent on grocery is Rs. 15,000 then what is her monthly income (in Rs.)?1. 1,25,0002. 1,20,0003. 1,00,0004. 1,10,000
Answer» Correct Answer - Option 4 : 1,10,000 Given: Ratio of expenditure on grocery, clothes and education = 5 : 7 : 10 Percentage of expenditure of monthly income = 60% Amount spent on grocery = Rs. 15,000 Calculation: Let the amount spend on grocery, clothes and education be ‘5x’, ‘7x’ and ‘10x’ ⇒ Total expenditure = 5x + 7x + 10x = 22x According to the question, ⇒ 5x = 15000 ⇒ x = 3000 ⇒ Total expenditure = 22 × 3000 = Rs. 66,000 Also, this is 60% of her total income ⇒ 60% of Income = 66000 ⇒ 60/100 × Income = 66000 ⇒ Income = 66000 × 100/60 ⇒ Income = Rs. 1,10,000 ∴ Her monthly income is Rs. 1,10,000

356.

A housewife spends 60% of her monthly income on grocery, clothes and education in the ratio of 5 ∶ 7 ∶ 10, respectively. If the amount spent on grocery is Rs. 15,000 then what is her monthly income (in Rs.)?1. 1,25,0002. 1,20,0003. 1,00,0004. 1,10,000

Answer» Correct Answer - Option 4 : 1,10,000

Given:

Ratio of expenditure on grocery, clothes and education = 5 : 7 : 10

Percentage of expenditure of monthly income = 60%

Amount spent on grocery = Rs. 15,000

Calculation:

Let the amount spend on grocery, clothes and education be ‘5x’, ‘7x’ and ‘10x’

⇒ Total expenditure = 5x + 7x + 10x = 22x

According to the question,

⇒ 5x = 15000

⇒ x = 3000

⇒ Total expenditure = 22 × 3000 = Rs. 66,000

Also, this is 60% of her total income

⇒ 60% of Income = 66000

⇒ 60/100 × Income = 66000

⇒ Income = 66000 × 100/60

⇒ Income = Rs. 1,10,000

∴ Her monthly income is Rs. 1,10,000

Discussion

357.	Name the substance present in the semen which causes contractions of female reproductive tract at the time of fertilization?
Answer» Prostaglandin is the substance present in the semen which causes contractions of female reproductive tract at the time of fertilization.

Discussion

358.	An emitter follower has a voltage gain that is a. Much less than one b. Approximately equal to one c. Greater than one d. Zero
Answer» (b) Approximately equal to one

Discussion

359.	The output voltage of an emitter follower is approximately a. 0 b. VG c. vin d. Vcc
Answer» The correct answer is: (c) vin

Discussion

360.	If the Q point is at the middle of the dc load line, clipping will first occur on thea. Left voltage swing b. Upward current swing c. Positive half cycle of input d. Negative half cycle of input
Answer» (d) Negative half cycle of input

Discussion

361.	If an emitter follower has re' = 10 ohm and re = 90 ohm, the voltage gain is approximately a. 0 b. 0.5 c. 0.9 d. 1
Answer» The correct answer is: (c) 0.9

Discussion

362.	Base bias is associated with a. Amplifiers b. Switching circuits c. Stable Q point d. Fixed emitter current
Answer» (b) Switching circuits

Discussion

363.	If an emitter follower has VCEQ = 5 V, ICQ = 1 mA, and re = 1 kohm, the maximum peak-to-peak unclipped output is a. 1 V b. 2 V c. 5 V d. 10 V
Answer» The correct answer is: (b) 2 V

Discussion

364.	Look at the labelled diagram of the male reproductive system.Identify the correct route of passage of sperm in the male reproductive tract. A. P-Q-R-S B. S-Q-R-P C. P-S-R-Q D. Q-R-S-P
Answer» Correct option is B. S-Q-R-P

Discussion

365.	With VDB, an increase in emitter resistance will a. Decrease the emitter voltage b. Decrease the collector voltage c. Increase the emitter voltage d. Decrease the emitter current
Answer» (d) Decrease the emitter current

Discussion

366.	VDB is noted for its a. Unstable collector voltage b. Varying emitter current c. Large base current d. Stable Q point
Answer» (d) Stable Q point

Discussion

367.	If the emitter resistance increases in a VDB circuit, the collector voltage a. Decreases b. Stays the same c. Increases d. Doubles
Answer» (c) Increases

Discussion

368.	If the load resistance of an emitter follower is very large, the external ac emitter resistance equals a. Generator resistance b. Impedance of the base c. DC emitter resistance d. DC collector resistance
Answer» (c) DC emitter resistance

Discussion

369.	Mr. Deepak invested an amount of Rs 21,250 for 6 years. At what rate of simple interest will he obtain the total amount of Rs 26,350 at the end of 6 years?(a) 6 % p.a(b) 5 % p.a(c) 8 % p.a(d) 12 % p.a(e) None of these
Answer» (e) Rate = (26350 - 21250) x 100 / 21250 x 6 = 510000 / 127500 = 4%

Discussion

370.	The ac collector resistance of the first stage includes the a. Load resistance b. Input impedance of first stage c. Emitter resistance of first stage d. Input impedance of second stage
Answer» (d) Input impedance of second stage

Discussion

371.	During regulation, the power dissipation of the pass transistor equals the collector-emitter voltage times the a. Base current b. Load current c. Zener current d. Foldback current
Answer» (b) Load current

Discussion

372.	The collector voltage of a VDB circuit is not sensitive to changes in the a. Supply voltage b. Emitter resistance c. Current gain d. Collector resistance
Answer» (c) Current gain

Discussion

373.	The ac emitter resistance of an emitter follower a. Equals the dc emitter resistance b. Is larger than the load resistance c. Has no effect on MPP d. Is usually less than the load resistance
Answer» (d) Is usually less than the load resistance

Discussion

374.	The power rating of a transistor can be increased by a. Raising the temperature b. Using a heat sink c. Using a derating curve d. Operating with no input signal
Answer» (b) Using a heat sink

Discussion

375.	The voltage gain equals the output voltage divided by the a. Input voltage b. AC emitter resistance c. AC collector resistance d. Generator voltage
Answer» (a) Input voltage

Discussion

376.	If RC = 3.6 kohm and RL = 10 kohm, the ac load resistance equals a. 10 kohm b. 2.65 kohm c. I kohm d. 3.6 kohm
Answer» (b) 2.65 kohm

Discussion

377.	Betty couldn’t help ________ when Oscar fell down. A) the laughB) to laugh C) at laughing D) laughing
Answer» Correct option is D) laughing

Discussion

378.	Betty couldn’t help ____ when Oscar fell down. A) the laugh B) at laughing C) to laugh D) laughing
Answer» Correct option is D) laughing

Discussion

379.	The ac load line is the same as the dc load line when the ac collector resistance equals the a. DC emitter resistance b. AC emitter resistance c. DC collector resistance d. Supply voltage divided by collector current
Answer» (c) DC collector resistance

Discussion

380.	If the standard deviation of the random variable X is `sqrt(3pq)` and mean is 3p then `E(x^(2))`= . . .A. `3pq + 3q^(2)`B. `3p(1+2p)`C. `3pq + 3p^(2)`D. `3p(1+2p)`
Answer» Correct Answer - B We have standard deviaiton of `X = sqrt(3pq)` `rArr Var (X) = 3pq` and mean `E(X) = 3p` Now `3qp = E(x^(2)) - (3p^(2)) " "(because Var (x) = E(X^(2)) - (E(X)^(2)))` `rArr " "E(X^(2)) = 3pq + 9p^(2)` ` = 3p (1-p) + 9p^(2)" "(because p + q=1)` `= 3p - 3p^(2) + 9p^(2)` `rArr 3p + 6p^(2) rArr 3p(1+2p)`

Discussion

381.	We couldn’ t help ______ when she fell off the horse. A) the laugh B) laughing C) laugh D) to laugh
Answer» Correct option is B) laughing

Discussion

382.	Whilst I was in the midst of my creative work there came to me an inner message asking me to come out of my seclusion and seek life in the heart of crowd. I knew hot what I could do. I had a love for children, so that I called them round me, in order to rescue them from the dismal dungeons of the educational department, and find for them that atmosphere of sympathy and freedom which they needed most. I chose a beautiful and secluded spot where, in collaboration with Mother Nature, it was possible to bring up these boys in a spirit of wisdom and love.While I was still busy doing service to children I do not know what possessed me all of a sudden. From some far-away sky came to me a call of pilgrimage reminding me that we are all bom pilgrims-pilgrims of the green earth. A voice questioned me ‘Have you been to the sacred shrine where Divinity reveals itself in the thoughts and dreams and deeds of Man?’ I thought possibly it was in Europe where I must seek it and know the full meaning of my birth as a human being in this world. And so for the second time I came to this continent.But, meanwhile I had grown up and learnt much of the history of man. I had sighed with the great poet Wordsworth, who became sad when he saw what man had done to man. We too have suffered at the hands of man—not tigers and snakes, not elemental forces of nature, but human beings. Men are ever the greatest enemy of Man. I had felt and known it; all the same, there was a hope, deep in my heart, that I should find some place, some temple, where the immortal spirit of man dwelt hidden like the sun behind clouds.1. What was the inner message?2. Which place for children’s study was chosen by the speaker?3. Who reminded the speaker about pilgrimage?4. Where did the speaker try to seek the full meaning of his birth as a human in this world?5 . From what had the speaker learnt much?6. Why had the speaker and Wordsworth sighed?7. Why is the speaker still hopeful?8.Find from the passage the words that mean the following :(i) the state of having little contact with other people(ii) basic and important.
Answer» 1. The inner message was to come out of seclusion and seek life in the heart of crowd. 2. A beautiful and secluded spot where, in collaboration with Mother Nature, it was possible to bring upon the boys in a spirit of wisdom and love. 3. A call of pilgrimage reminded the speaker about that. 4. The speaker try to seek the full meaning of his birth in Europe. 5. The speaker had learnt much from the history of man. 6. The had sighed because men had suffered at the hands of men. 7. The speaker is still hopeful because the spirit of man is immortal like the sun. 8. (i) seclusion (ii) elemental.

382.

Whilst I was in the midst of my creative work there came to me an inner message asking me to come out of my seclusion and seek life in the heart of crowd. I knew hot what I could do. I had a love for children, so that I called them round me, in order to rescue them from the dismal dungeons of the educational department, and find for them that atmosphere of sympathy and freedom which they needed most. I chose a beautiful and secluded spot where, in collaboration with Mother Nature, it was possible to bring up these boys in a spirit of wisdom and love.While I was still busy doing service to children I do not know what possessed me all of a sudden. From some far-away sky came to me a call of pilgrimage reminding me that we are all bom pilgrims-pilgrims of the green earth. A voice questioned me ‘Have you been to the sacred shrine where Divinity reveals itself in the thoughts and dreams and deeds of Man?’ I thought possibly it was in Europe where I must seek it and know the full meaning of my birth as a human being in this world. And so for the second time I came to this continent.But, meanwhile I had grown up and learnt much of the history of man. I had sighed with the great poet Wordsworth, who became sad when he saw what man had done to man. We too have suffered at the hands of man—not tigers and snakes, not elemental forces of nature, but human beings. Men are ever the greatest enemy of Man. I had felt and known it; all the same, there was a hope, deep in my heart, that I should find some place, some temple, where the immortal spirit of man dwelt hidden like the sun behind clouds.1. What was the inner message?2. Which place for children’s study was chosen by the speaker?3. Who reminded the speaker about pilgrimage?4. Where did the speaker try to seek the full meaning of his birth as a human in this world?5 . From what had the speaker learnt much?6. Why had the speaker and Wordsworth sighed?7. Why is the speaker still hopeful?8.Find from the passage the words that mean the following :(i) the state of having little contact with other people(ii) basic and important.

Answer»

1. The inner message was to come out of seclusion and seek life in the heart of crowd.

2. A beautiful and secluded spot where, in collaboration with Mother Nature, it was possible to bring upon the boys in a spirit of wisdom and love.

3. A call of pilgrimage reminded the speaker about that.

4. The speaker try to seek the full meaning of his birth in Europe.

5. The speaker had learnt much from the history of man.

6. The had sighed because men had suffered at the hands of men.

7. The speaker is still hopeful because the spirit of man is immortal like the sun.

8. (i) seclusion

(ii) elemental.

Discussion

383.	The Norton current is sometimes called the a. Shorted-load current b. Open-load current c. Thevenin current d. Thevenin voltage
Answer» (a) Shorted-load current

Discussion

384.	The Thevenin resistance is equal in value to the a. Load resistance b. Half the load resistance c. Internal resistance of a Norton circuit d. Open-load resistance
Answer» (c) Internal resistance of a Norton circuit

Discussion

385.	The man ____ for a bus were knocked down when a lorry skidded and ran off the road. A) wait B) waiting C) waited D) were waiting
Answer» Correct option is B) waiting

Discussion

386.	If I were you ___ . A) I shall wait B) I wait C) I would waitD) I waited E) I’m waiting
Answer» Correct option is C) I would wait

Discussion

387.	Sorry I’m late. _____ for a long time? A) Did you wait B) Have you waited C) Have you been waiting D) Did you wait
Answer» Correct option is C) Have you been waiting

Discussion

388.	I can’ t stand ______ in a long line. A) wait B) waiting C) to wait D) waited
Answer» Correct option is B) waiting

Discussion

389.	He looked at the carpet while ___ for her answer. A) to wait B) be waiting C) waiting D) waited E) having waited
Answer» Correct option is C) waiting

Discussion

390.	Consider all `10` digit numbers formed by using all the digits 0, 1, 2, 3,…, 9 without repetition such that they are divisible by 11111, thenA. the digit in tens place for smallest number is 6B. the digit in tens place for largest number is 3C. total numbers of such numbers is 3456D. total numbers of such numbers is 365
Answer» Correct Answer - A::B::C Let `N=x_(1)x_(2)x_(3)………..x_(10)` be one of such number `sumx_(i)=45`, hence `N` is divisible by 9. Hence `N` should by divisible by `11111xx9=99999` Now `x_(1)x_(2)x_(3)………x_(10)=x_(1)x_(2)x_(3)x_(4)x_(5)xx10^(5)+x_(6)x_(7)x_(8)x_(9)x_(10)` `=x_(1)x_(2)x_(3)x_(4)x_(5)lt99999` `x_(6)x_(7)x_(8)x_(9)x_(10)lt 99999` `x_(1)x_(2)x_(3)x_(4)x_(5)+x_(6)x_(7)x_(8)x_(9)x_(10)lt 2xx99999` `x_(1)x_(2)x_(3)x_(4)x_(5)+x_(6)x_(7)x_(8)x_(9)x_(10)=99999` `x_(1)+x_(6)=x_(2)+x_(7)=x_(3)+x_(8)=x_(4)+x_(9)=x_(5)+x_(10)=9` So, smallest number `1023489765` Largest number `9876501234` Total number `9xx8xx6xx4xx2xx1xx1xx1xx1xx1=3456`

Discussion

391.	Read the following poem carefully and answer the questions that follow:Love came to Flora asking for a flowerThat would of flowers be undisputed queen,The lily and the rose, long, long had beenRivals for that high honour. Bards of powerHad sung their claims. ‘The rose can never towerLike the pale lily with her Juno mien’‘But is the lily lov’lier?’ Thus betweenFlower-factions rang the strife in Psyche’s bower.‘Give me a flower delicious as the roseAnd stately as the lily in her pride’‘But of what colour ?’‘Rose-red’, Love first chose,Then prayed,‘No, lily white, or, both provide.And Flora gave the lotus, ‘rose-red’ dyed.And ‘lily-white; the queenliest flower that blows.1. Write the summary of this poem.2. Explain the following lines:And Flora ………………………….. gave that blows.3. Infer the meanings of the following phrases:(i) flower-factions rang the strife in Psyche’s bower.(ii) queenliest flower(iii) Bards of power4. Change the following into nouns:(i) queenly(ii) lovable
Answer» 1. The god of Love goes to Flora, the goddess of flowers and vegetation. He asks her to give the most beautiful flower, the queen of flowers. Red rose and white lily have been claiming this honour for a long time. Powerful and famous poets have praised them in their poems. Rose symbolises sweetness. Lily symbolises purity and innocence. He requests to give the flower having the qualities of both of these flowers. Flora gives him the lotus. 2. Flora, the goddess of flowers and vegetation, gave the lotus to the God of Love. It is reddish and sweet like rose and impressive and pure likely. It is queenliest and it blooms majestically. 3. (i) The self-interested groups of flower began conflict in the mind of the goddess of flowers and vegetation. (ii) The flower which is impressive, pure, beautiful and majestic like a queen. (iii) Powerful and famous poets. 4. (i) queen (ii) love

391.

Read the following poem carefully and answer the questions that follow:Love came to Flora asking for a flowerThat would of flowers be undisputed queen,The lily and the rose, long, long had beenRivals for that high honour. Bards of powerHad sung their claims. ‘The rose can never towerLike the pale lily with her Juno mien’‘But is the lily lov’lier?’ Thus betweenFlower-factions rang the strife in Psyche’s bower.‘Give me a flower delicious as the roseAnd stately as the lily in her pride’‘But of what colour ?’‘Rose-red’, Love first chose,Then prayed,‘No, lily white, or, both provide.And Flora gave the lotus, ‘rose-red’ dyed.And ‘lily-white; the queenliest flower that blows.1. Write the summary of this poem.2. Explain the following lines:And Flora ………………………….. gave that blows.3. Infer the meanings of the following phrases:(i) flower-factions rang the strife in Psyche’s bower.(ii) queenliest flower(iii) Bards of power4. Change the following into nouns:(i) queenly(ii) lovable

Answer»

1. The god of Love goes to Flora, the goddess of flowers and vegetation. He asks her to give the most beautiful flower, the queen of flowers. Red rose and white lily have been claiming this honour for a long time. Powerful and famous poets have praised them in their poems. Rose symbolises sweetness. Lily symbolises purity and innocence. He requests to give the flower having the qualities of both of these flowers. Flora gives him the lotus.

2. Flora, the goddess of flowers and vegetation, gave the lotus to the God of Love. It is reddish and sweet like rose and impressive and pure likely. It is queenliest and it blooms majestically.

3. (i) The self-interested groups of flower began conflict in the mind of the goddess of flowers and vegetation.

(ii) The flower which is impressive, pure, beautiful and majestic like a queen.

(iii) Powerful and famous poets.

4. (i) queen

(ii) love

Discussion

392.	Read the following poem and answer the questions that follow :Love came to Flora asking for a flowerThat would of flowers be undisputed queen,The lily and the rose, long long had beenRivals for that high honour. Bards of power.Had sung their claims. “The rose can never towerLike the pale lily with her Juno mien”.“But is the lily lovelier?” Thus betweenFlower faction rang the strife in Psyche’s bower.“Give me a flower delicious as the roseAnd stately as the lily in her pride”.“But of what colour?”- “Rose red,” Love first chose,Then prayed, – “No, lily-white, – or both provide”;And Flora gave the lotus, “rose red” dyedAnd “lily white,” queenliest flower that blows.[Love went to Flora, the goddess of vegetation and requested her to give him the queenliest flower for his beloved. Some bards sang of the rose as the undisputed king of flowers. Others sang of lily as the proudest. Flora gave the lover lotus having both rose and white shades]1. What does Love ask Flora for ?2. “The lily and the rose, long long had been Rivals for that high honour”…… Interpret the extract.3. What does the lily symbolize ?4. Who had sung for the rose and the lily?5. List the similes the poet has used in the poem.
Answer» 1. Love asks Flora to give him a flower that could be made the queen of flowers, 2. The lily and the rose had been the two rivals for the high honour for a long time. 3. The lily symbolizes purity and innocence. 4. The bards have sung for both the rose and the lily. 5. ‘Like the pale lily’, ‘delicious as a rose’, ‘stately as the lily’ are the examples of simile in the poem.

392.

Read the following poem and answer the questions that follow :Love came to Flora asking for a flowerThat would of flowers be undisputed queen,The lily and the rose, long long had beenRivals for that high honour. Bards of power.Had sung their claims. “The rose can never towerLike the pale lily with her Juno mien”.“But is the lily lovelier?” Thus betweenFlower faction rang the strife in Psyche’s bower.“Give me a flower delicious as the roseAnd stately as the lily in her pride”.“But of what colour?”- “Rose red,” Love first chose,Then prayed, – “No, lily-white, – or both provide”;And Flora gave the lotus, “rose red” dyedAnd “lily white,” queenliest flower that blows.[Love went to Flora, the goddess of vegetation and requested her to give him the queenliest flower for his beloved. Some bards sang of the rose as the undisputed king of flowers. Others sang of lily as the proudest. Flora gave the lover lotus having both rose and white shades]1. What does Love ask Flora for ?2. “The lily and the rose, long long had been Rivals for that high honour”…… Interpret the extract.3. What does the lily symbolize ?4. Who had sung for the rose and the lily?5. List the similes the poet has used in the poem.

Answer»

1. Love asks Flora to give him a flower that could be made the queen of flowers,

2. The lily and the rose had been the two rivals for the high honour for a long time.

3. The lily symbolizes purity and innocence.

4. The bards have sung for both the rose and the lily.

5. ‘Like the pale lily’, ‘delicious as a rose’, ‘stately as the lily’ are the examples of simile in the poem.

Discussion

393.	Manuel asked _____ to the project. A) to work B) to be assigned C) for a job D) to be fired
Answer» Correct option is B) to be assigned

Discussion

394.	Which of the following is the highest peak in undisputed Indian territory ? (a) Mount Everest (b) Kanchenjunga (c) Nanda Devi (d) Nanga Parbat
Answer» (c) Nanda Devi

Discussion

395.	The Browns ___ not return on Sunday, as the weather was bad. A) may B) could C) have toD) must E) can’t
Answer» Correct option is B) could

Discussion

396.	In a flight of 600 km an aircraft was slowed down due to bad weather. Its average speed was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is;1. 1hr2. 2 hrs3. 3 hrs4. 4 hrs
Answer» Correct Answer - Option 1 : 1hr Given: Total Distance = 600 km. average speed was reduced = 200 km/hr the time of flight increased = 30 minutes Formula Used: ∵ Average Speed = Total Distance / Time Calculations: Let, the original duration of flight be t hrs. So, original average speed = 600/t Due to bad weather speed of trip is reduced by 200 km/hr and time of flight is increased by 30 minutes i.e. 0.5 hr. ∴ Reduced average speed = (600/t) – 200 And New duration of flight = (t + 0.5) hrs So, the new average speed = 600/(t + 0.5) Equating, \(\begin{array}{l} \Rightarrow \frac{{600}}{t}-200 = \frac{{600}}{{t + 0.5}}\\ \Rightarrow \frac{3}{t}-1 = \frac{3}{{t + 0.5}}\\ \Rightarrow \frac{{3-t}}{t} = \frac{3}{{t + 0.5}} \end{array}\) ⇒ t2 + 0.5t – 1.5 = 0 ⇒ 2t2 + t – 3 = 0 ⇒ 2t2 – 2t + 3t – 3 = 0 ⇒ (t – 1)(2t + 3) = 0 ⇒ (t – 1) = 0 ∴ t = 1 hr ∴ The duration of the flight is 1 hr.

396.

In a flight of 600 km an aircraft was slowed down due to bad weather. Its average speed was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is;1. 1hr2. 2 hrs3. 3 hrs4. 4 hrs

Answer» Correct Answer - Option 1 : 1hr

Given:

Total Distance = 600 km.

average speed was reduced = 200 km/hr

the time of flight increased = 30 minutes

Formula Used:

∵ Average Speed = Total Distance / Time

Calculations:

Let, the original duration of flight be t hrs.

So, original average speed = 600/t

Due to bad weather speed of trip is reduced by 200 km/hr and time of flight is increased by 30 minutes i.e. 0.5 hr.

∴ Reduced average speed = (600/t) – 200

And New duration of flight = (t + 0.5) hrs

So, the new average speed = 600/(t + 0.5)

Equating,

\(\begin{array}{l} \Rightarrow \frac{{600}}{t}-200 = \frac{{600}}{{t + 0.5}}\\ \Rightarrow \frac{3}{t}-1 = \frac{3}{{t + 0.5}}\\ \Rightarrow \frac{{3-t}}{t} = \frac{3}{{t + 0.5}} \end{array}\)

⇒ t2 + 0.5t – 1.5 = 0

⇒ 2t2 + t – 3 = 0

⇒ 2t2 – 2t + 3t – 3 = 0

⇒ (t – 1)(2t + 3) = 0

⇒ (t – 1) = 0

∴ t = 1 hr

∴ The duration of the flight is 1 hr.

Discussion

397.	The distance between Delhi and Chennai by flight is 1600 km. An aircraft was slowed down due to bad weather. The time of journey of Chennai from Delhi is increased by 40 minutes and the average speed for the journey was reduced by 200 km/h. What is the usual duration of the flight if there is no bad weather?1. 160 minutes2. 120 minutes3. 80 minutes4. 180 minutes
Answer» Correct Answer - Option 2 : 120 minutes Let T be the usual duration(hours) of flight. Usual speed of the flight = 1600/T Due to bad weather, speed of the flight = 1600/(T + 40/60) = 1600/(T + 2/3) Now, according to question, 1600/T - 1600/(T + 2/3) = 200 ⇒ 1/T - 1/(T + 2/3) = 200/1600 = 1/8 ⇒ (2/3)/(T² + 2T/3) = 1/8 ⇒ 2/(3T² + 2T) = 1/8 ⇒ 3T² + 2T = 16 ⇒ 3T² + 2T – 16 = 0 ⇒ 3T² - 6T + 8T – 16 = 0 ⇒ (3T + 8) × (T – 2) = 0 ⇒ T = -8/3 or 2 ⇒ T = 2 hours = 120 minutes

397.

The distance between Delhi and Chennai by flight is 1600 km. An aircraft was slowed down due to bad weather. The time of journey of Chennai from Delhi is increased by 40 minutes and the average speed for the journey was reduced by 200 km/h. What is the usual duration of the flight if there is no bad weather?1. 160 minutes2. 120 minutes3. 80 minutes4. 180 minutes

Answer» Correct Answer - Option 2 : 120 minutes

Let T be the usual duration(hours) of flight.

Usual speed of the flight = 1600/T

Due to bad weather, speed of the flight = 1600/(T + 40/60) = 1600/(T + 2/3)

Now, according to question, 1600/T - 1600/(T + 2/3) = 200

⇒ 1/T - 1/(T + 2/3) = 200/1600 = 1/8

⇒ (2/3)/(T² + 2T/3) = 1/8

⇒ 2/(3T² + 2T) = 1/8

⇒ 3T² + 2T = 16

⇒ 3T² + 2T – 16 = 0

⇒ 3T² - 6T + 8T – 16 = 0

⇒ (3T + 8) × (T – 2) = 0

⇒ T = -8/3 or 2

⇒ T = 2 hours = 120 minutes

Discussion

398.	I’ ll go to the station and_____for you A) wait B) to wait C) waiting D) have waited
Answer» Correct option is A) wait

Discussion

399.	Undisputed connection fit and our best . A simple rules of five helps makes exercising a most enjoyable activity.
Answer» There is an undisputed a connection among being fit bad being our best. A simple rule of five helps make exercising a more enjoyable activity. For example, wake up at 5 A.M, do five breathing exercises, five stretches, five yoga asanas, eat five healthy foods during the day, and so on.

Discussion

400.	It was____Dave to quit his job. A) fired because B) stupid of C) foolish by D) because of school
Answer» Correct option is B) stupid of

Discussion

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