Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Let's go to the park. It's so nice there. - _____. Can I take my little brother with me? - _____. We'll have a good time there.A) Sorry. I can't / No B) Certainly / I'm afraid not C) Of course / I don t think so D) O.K. / Certainly E) I'm busy / Certainly

Answer»

Correct option is D) O.K. / Certainly

2.

I see you are talking again. What do the women always talk about? - _____. A) They usually discuss their family problems B) They are talking about their problems C) A woman always had something to tell D) She always talks much E) Some of the women prefer listening to men

Answer»

Correct option is A) They usually discuss their family problems

3.

Read the following passage. The little girl from Gates Avenue wore the dirty dress that she had worn all winter. Probably that was the only dress she owned. Her teacher was very unhappy. The little girl was so nice! She always worked hard in school; she was always friendly and polite. Her face was dirty and her hair was untidy, but anyone could see that she was pretty under the dirt. One day the teacher said, “Won’t you wash your face before you come to school tomorrow morning? Please do that, just for me.” The next morning the child’s pretty face was clean, and her hair tidy. Before the little girl went home that afternoon, the teacher said, “Now, dear, please ask your mother to wash your dress. “But the girl continued to wear the same dirty dress, “Her mother is probably not interested in her” the teacher thought. So she bought a bright blue dress and gave it to the little girl. The child took the gift eagerly and rushed home. The next morning she came to school in the new blue dress, and she was very clean and tidy. She told her teacher, “My mother couldn’t believe her eyes when she saw me this morning in my new dress. My father wasn’t at home, but he’ll see me at supper tonight.” She was full of excitement. When her father saw her in her new-blue dress, he was amazed to find that he had a very pretty little girl.Now, answer the following questions. a) What was the teacher’s opinion about the girl’s mother? b) Why was the teacher unhappy? c) What kind of girl was the little girl in the. above passage? d) Why would all people say “She was pretty under the dirt”? e) Describe the nature of the teacher based on the story.

Answer»

a) The teacher’s opinion was that that the girl’s mother was probably not interested in the tidy appearance of her daughter. 

b) Because the girl wore the same dirty dress every day and had an untidy appearance. 

c) She was a nice girl. She always worked hard in school. She was always friendly and polite.

d) Naturally she was very pretty and beautiful but her face was dirty and her hair was untidy. So everyone would say she was pretty under the dirt. 

e) The teacher was kind, caring and helpful in nature. She gave good advice to the girl and also brought Tier a new dress. She was really interested in her well-being. She wanted to help her to maintain a tidy appearance.

4.

Which of the following is part of the organized sector of Indian Money Market instruments?A. Commercial PapersB. Treasury Bills:C. Certificate of DepositD. All of these

Answer» Correct Answer - D
5.

Read the following passage. A few months later, because of the young minister, there was a pavement on Gates Avenue. There was a streetlight on the corner, and the houses had running water. Six months after the little girl got her new blue dress, Gates Avenue had become a tidy street where respectable citizens lived. When people in other places heard the story of Gates Avenue, they began to organise their own ‘clean up’ campaigns. Since 1913, more than seven thousand towns and cities have organised campaigns for painting and repairing homes and making better lives for the people who live in them. Who knows what will happen when a teacher gives a little girl a new blue dress?Now answer the following questions: a) Who was responsible for building a pavement? b) What were the other services provided by the minister? c) How long did it take to get a tidy street for Gates Avenue? d) Now what type of citizens live in Gates Avenue? e) How did the experience of Gates Avenue inspire the other places in the city? f) When did the ‘clean up’ campaign begin in Cleveland? g) Who do you think initiated the’ clean up’ campaign in Gates Avenue? h) What type of activities were taken up as a part of ‘cleaning up campaign’? i) Do you know any such campaign is going on in our country now? Name that campaign. j) According the passage, how many towns and cities have organized ‘clean up’ campaigns since 1913?

Answer»

a) The young minister of the church was responsible for building a pavement. 

b) The minister provided streetlight, and running water system in addition to the pavement in Gates Avenue. 

c) Gates Avenue took six months after the girl had got a new dress to get a tidy street. 

d) Now respectable citizens live ip Gates Avenue. 

e) Having been inspired by the people of Gates Avenue the people of other places began to organise their own ‘clean up’ campaigns. 

f) The ‘clean up’ campaign began in 1913 in Cleveland. 

g) The ‘clean up’ campaign was actually initiated by the teacher who bought a new dress for the poor girl. 

h) As a part of cleaning up campaign people took up painting, and repairing homes and making better lives for the people who live in it. 

i) Yes. One such ‘clean up’ campaign is going on in our country now. The massive ‘clean up’ programme is called ‘Swatchch Bharath’ (Clean India). It was started by our Prime Minister Narendra Modi on 2nd October 2014. 

j) More than seven thousand towns and cities.

6.

Read the following passage. During the following week, the man in the next house watched what his neighbour was doing. And by the end of the week, the man began to paint his house — for the first time in ten years. A few days later, the young minister of a church near Gates Avenue passed these two houses and saw two men working. For the first time he noticed that there was no pavement on Gates Avenue, and no streetlight, and no running water. “People who are trying so hard to make decent homes here deserve help,” the minister thought. He asked some important citizens in the city to help them. Now answer the following questions: a) How did girl’s father inspire his neighbour?b) Who came to Gates Avenue? c) What did the young minister notice? d) What inspired the young minister to build a pavement? e) Why did the minister feel that the people deserved help? f) “He asked some important citizens to help them” – Who does ‘they’ here refer to? g) What did the minister ask the important citizens to do? h) What were the problems the minister noticed in Gates Avenue? i) What did the minister see at first? j) How long had the house not been painted?

Answer»

a) When the neighbour of the girl watched her father growing a garden he was inspired and began to paint his house. 

b) The young minister of a church came to Gates Avenue.

c) The young minister noticed that the pavement, streetlights and running water were not there at Gates Avenue. 

d) When he came to Gates Avenue he saw two men working in front of their houses to make their surroundings clean. It inspired the minister to build a pavement. 

e) When he came to Gates Avenue he saw the people working to clean their surroundings; so he felt they deserved the help. 

f) ‘They’ here refers to the people of Gates Avenue. 

g) The minister asked the important citizens to help the people of Gates Avenue. 

h) Lack of pavements, streetlights and proper running water system were the problems in Gates Avenue. 

i) At first the minister saw the men working to clean their surroundings. 

j) The house had not been painted for years.

7.

She went ______ a sheet when she heard the news. A) as white as B) as light as C) as mute as D) as deaf as

Answer»

Correct option is A) as white as

8.

Which of the following International organizations has released B2C E-commerce Index?A. IMFB. IBRDC. World BankD. UNCTAD

Answer» Correct Answer - D
9.

There were ______ people in the queue that it was impossible to get on the bus. A) so many B) so much C) so few D) such a lot

Answer»

Correct option is A) so many

10.

They live ______ West End Avenue. A) at B) in C) on D) along

Answer»

Correct option is C) on

11.

Where can we get a ball? Let’s ________ . A) lend one from John B) lend John’s one C) borrow one of John D) borrow one from John

Answer»

Correct option is D) borrow one from John

12.

Bob gets up at 7.00 o’clock in the ______. A) evening B) afternoon C) morning D) night

Answer»

Correct option is C) morning

13.

Ann is _____ wife. A) John’s B) John is C) John’s is D) John

Answer»

Correct option is A) John’s 

14.

Which of the following countries hosted the world Environment Day in 2018?A. IndiaB. United StatesC. KenyaD. Japan

Answer» Correct Answer - A
15.

Which of the following persons served as the `46^(th)` Chief Justice of India?A. J. ChelameshwarB. Jagdish Singh KheharC. U U LalitD. Ranjan Gogoi

Answer» Correct Answer - D
16.

Read the following passage and answer the questions that follow. During his campaign in Punjab, Alexander visited a village. He found a headman listening to a dispute between two villagers. He wanted to know how the headman would give justice. So he watched the proceedings. One villager said that he had purchased a piece of land, where he found a pot full of gold. He wanted to return it to the man from whom he had purchased the land, because he had purchased only the land and not the hidden treasure; but the other man did not accept this. Alexander was curious to know how the village headman would pronounce his judgment. The headman asked both of them whether one had a boy of marriageable age and the other had a girl. When both said yes, he said that they should be married and gold should be given to them. Alexander was surprised and said that in his country such a problem would not arise and the buyer would quietly keep the treasure himself.1. What was the village headman doing? 2. Why did Alexander watch the proceedings? 3. What did the villager find in the land? 4. Why did he want to return the treasure? 5. What was Alexander curious about? 6. What was the judgment given? 7. What did Alexander say after hearing the judgment? 8. Pick out the word from the passage which means ‘bought’.

Answer»

1. The village headman was listening to a dispute between two villagers. 

2. He wanted to know how the headman would give justice. 

3. The villager found a pot full of gold. 

4. He had bought the land but not the hidden treasure. 

5. Alexander was curious to know how the headman would pronounce the judgment. 

6. The village headman decided that the boy and the girl of the two villagers should be married and the gold should be given to them. 

7. In his country the buyer would have kept the treasure with himself.

8. Purchased.

17.

Which award has been given to Narthaki Nataraj in 2019?1. Padma Vibhushan2. Bharat Ratna3. Padma Shri4. Padma Bhushan

Answer» Correct Answer - Option 3 : Padma Shri

The correct answer is Padma Shri.

  • Narthaki Nataraj is a Bharatanatyam dancer.
  • In 2019, she was awarded the Padma Shri, making her the first transgender woman to be awarded the Padma Shri.

  •  Narthaki Nataraj, a renowned dancer from Tamil Nadu has become the first person from the transgender community to be honored with one of the top civilian awards in India.
  • She is the first transgender conferred with the prestigious Padma Shri award.
  • The 2019 year's list comprises 4 Padma Vibhushan, 14 Padma Bhushan, and 94 Padma Shri awardees.

  • Dancer Narthaki Natraj is the first trans person to receive a Padma award.
18.

Srihari Nataraj emerged as the most prolific Gold medal winner at the Khelo India Youth Games with 7 Gold medals, he is associated with which Sports?A. SwimmingB. ShootingC. BaseballD. Wrestling

Answer» Correct Answer - A
19.

Why santinikaten is special

Answer»

Rabindranath Tagore set up an educational institution called Visva -Bharti at Shantiniketan ('abode of peace') , near Calcutta. The school started with only five students and aimed to bring the learning process closer to Nature .as opposed to the strict rote learning of British schools, here creativity was encouraged. Fine arts, music, and dance were given due importance. Instead of classrooms, classes were conducted outdoors whenever possible. Tagore aimed to impart to the students a blend of the best of the east and the West.

At Shantiniketan, teachers fostered imagination instead of just disciplining the students. They helped students to motivate themselves. This educational system encouraged the curiosity of the child. many eminent personalities like the filmmaker Satyajit Ray and the economist Amartya Sen have studied at Shantiniketan. Visva Bharti was given the status of a university in 1951.

20.

A: May I watch what you are doing ? B: _____. A) Sure. You are welcome. B) I am painting. C) You must watch me. D) I am sitting. E) Why were you here ?

Answer»

Correct option is A) Sure. You are welcome

21.

The students of this school are called Manorites. It is situated in an area called Burlowganj. Six of India's hockey gold medallists in the editions of 1928, 1932 and 1936 studied here. Name the school

Answer»

St George's College, Mussorie (William Goodsir Cullen and Ernest Goodsir Cullen, Maurice Gately, Eric Martins, Carlyle Tapsell and Lionel Emmett)

22.

“_____ her surname Smith?” “No, it _____ .” A) What / isn’t B) Is / is C) Is / isn’t D) Are / isn’t

Answer»

Correct option is C) Is / isn’t 

23.

What is the literal meaning of 'Nataraj' in Sanskrit?

Answer»

Lord of Dance

24.

Why did ravidarnath tagore choose a place called ‘Shantiniketan’ to establish the university?

Answer»

Santiniketan was previously called Bhubandanga (named after Bhuban Sinha)
Rabindranath's father, Maharshi Debendrqanath Tagore, found it very peaceful and renamed it Shantiniketan, which means abode (niketan) of peace (shanti).
It was here that Rabindranath Tagore started , the school of his ideals, whose central premise was that learning in a natural environment would be more enjoyable and fruitful.

25.

Fill in the blanks with appropriate linkers:The gardener started narrating the story of Tammanna and Basavaiah to the owner’s wife. ........... proceeding with the story, he started fumbling for words ............. he had made a mistake. The owner’s wife was not interested in the story. She felt like going away .......... stayed back ........... she did not want to hurt the old man. (but, after, as though, as)

Answer»

After; as though; but; as.

26.

Fill in the blanks with the appropriate linkers:The Earth University teaches Earth Democracy ..... is the freedom for all species. ............ we all depend on the earth, it is our duty to respect the rights of other species ........ these species have to evolve within the web of life. ............. Earth Democracy is a shift from anthropocentrism to ecocentrism. (as, which, moreover, since)

Answer»

which; As; since; Moreover

27.

Degrees of comparisonfill in the blanksAdjectivesComparativeSuperlativebaddrierfar (place)farthestfar (time)furthestbetterlate (time)latestlate (order)latter lessmostsafesimplesimpler

Answer»
AdjectivesComparativeSuperlative
badworseworst
drydrierdriest
far (place)fartherfarthest
far (time)furtherfurthest
goodbetterbest
late (time)laterlatest
late (order)latter last
littlelessleast
manymoremost
safesafersafest
simplesimplersimplest

28.

Choose the correct Synonyms for the italic word1. After his fathers death, his brothers demanded to split the wealth.(a) break up (b) brush (c) open (d) close2. But he always long to start a new construction company. (a) fabrication (b) devastation (c) real estate (d) building formation3. He told his wife about his decision. (a) hesitation(b) delay (c) judgement (d) Abnormal4. They lived in the beautiful village Keelakudi. a) ugly (b) awful (c) vile (d) Pretty5. Their friendship grew stronger with time. (a) weaker(b) slender (c) firmer (d) Punier

Answer»

1. (a) break up

2. (d) building formation

3. (c) judgement

4. (d) Pretty

5. (c) firmer

29.

What is meaning of jiffy?(a) soon or in a very short time .(b)very fast.

Answer»

(a) soon or in a very short time 




hope my answer helped you

it is right

 answer 

very good

30.

Verb sente

Answer»

She will succeed him as chair of the committee.

31.

They often try to increase the price if you can't speak the language. A) up B) use C) unit

Answer»

Correct option is A) up

32.

Describe the situation that made the writer feature the polite conductor

Answer»

When the author boarded a bus and found that he was utterly penniless, he told the conductor that he would go back. The conductor said that it was all right and issued him a ticket cheerfully.

33.

According to Dr Kalam, what influence does a story have on our mind

Answer»

My father was a freedom fighter and hardcore "swadeshi". He also bears a huge respect for Mahatma Gandhi. After reading the book he said to me, "This book is the Bhagawat Gita for the 21st century India and its youths." He discovered a Mahatma Gandhi in Dr Abdul Kalam.

This is how inspiring Dr Abdul Kalam is. He gives a positive attitude in us, a new form of "satyagraha".

34.

How did the Non-Cooperation Movement unfold in the cities and towns of India?

Answer»

(i) The movement started with middle-class participation in the cities. 

(ii) Thousands of students left government-controlled schools and college. 

(iii) Many teachers resigned. 

(iv) Lawyers gave up their legal practices. 

(v) The council elections were boycotted in most provinces except Madras. 

(vi) Foreign goods were boycotted, liquor shops picketed, and foreign cloth burnt in huge bonfires. 

(vii) Any other relevant point 

35.

Select The Suitable Synonyms.1. complimented (a) scorned (b) despised (c) praised2. quote (a) repeat (b) speak (c) warn3. achieved (a) scared (b) reached (c) retrieved4. recognised (a) unknown (b) known (c) identified5. barriers (a) preventions (b) hurdles (c) movements

Answer»

1. (c) praised

2. (a) repeat

3. (b) reached

4. (b) known

5. (b) hurdles

36.

\( \left(\cot \frac{\theta}{2}-\tan \frac{\theta}{2}\right)^{2}(1-2 \tan \theta \cot 2 \theta) \) का हल होगा- (A) 1 (B) 2 (C) 3 (D) 4

Answer»

The correct option is (D) 4.

(cot θ/2 - tan θ/2)2 (1 - 2 tan θ cot 2θ)

\(=(\cfrac{cos\,\theta/2}{sin\,\theta/2}-\cfrac{sin\,\theta/2}{cos\,\theta/2})^2\) (1 - 2 tan θ cot 2θ)

\(=(\cfrac{cos^2\,\theta/2-sin^2\,\theta/2}{sin\,\theta/2\;cos\,\theta/2})^2\) (1 - 2 tan θ cot 2θ)

\(=\left(\cfrac{2(cos^2\,\theta/2-sin^2\,\theta/2)}{2\,sin\,\theta/2\;cos\,\theta/2}\right)^2\) (1 - 2 tan θ cot 2θ)

\(=4(\frac{cos\,\theta}{sin\,\theta})^2\) (1 - 2 tan θ cot 2θ)  (∵ cos2 θ/2 - sin2 θ/2 = cos θ & 2 sin θ/2 cos θ/2 = sin θ)

= 4 cot2θ \((1-\frac{2\,tan\,\theta}{tan\,2\theta})\)

= 4 cot2θ \(\left(1-\frac{2\,tan\,\theta}{\frac{2\,tan\,\theta}{1-tan^2\theta}}\right)\)

= 4 cot2θ (1 - (1 - tan2θ))

= 4 cot2θ (1 - 1 + tan2θ)

= 4 cot2θ tan2θ

= 4.

37.

Find ∫ (sin5 x - sin7 x)\(^{1\over2}\) dx1. \(\rm {7\over2}\sin^{7\over2} x\) + C2. \(\rm {7\over2}\cos^{7\over2} x\) + C3.  \(\rm {2\over7}\sin^{7\over2} x\) + C4.  \(\rm {2\over7}\cos^{7\over2} x\) + C

Answer» Correct Answer - Option 3 :  \(\rm {2\over7}\sin^{7\over2} x\) + C

Concept:

Integral property:

  • ∫ xn dx = \(\rm x^{n+1}\over n+1\)+ C ; n ≠ -1
  • \(\rm∫ {1\over x} dx = \ln x\) + C
  • ∫ edx = ex+ C
  • ∫ adx = (ax/ln a) + C ; a > 0,  a ≠ 1
  • ∫ sin x dx = - cos x + C
  • ∫ cos x dx = sin x + C

Substitution method: If the function cannot be integrated directly substitution method is used. To integration by substitution is used in the following steps:

  • A new variable is to be chosen, say “t”
  • The value of dt is to is to be determined.
  • Substitution is done and integral function is then integrated.
  • Finally, initial variable t, to be returned.

 

 

Calculation:

I = ∫(sinx - sin7 x)\(^{1\over2}\) dx

⇒ I = ∫[sin5 x (1 - sin2 x)]\(^{1\over2}\)dx

⇒ I = ∫ (sin5 x)\(^{1\over2}\)(cos2 x)\(^{1\over2}\)dx

⇒ I = ∫ sin\(^{5\over2}\) x cos x dx

Substituting sin x = t ⇒ cos x dx = dt

⇒ I = ∫ t\(^{5\over2}\) dt

⇒ I = \(\rm \left[t^{7\over2}\over{7\over2}\right]\) + C

⇒ I = \(\boldsymbol{\rm {2\over7}\sin^{7\over2} x}\) + C

38.

The value of `sqrt(3) cot 20^(@) -4cos20^(@)` isA. `1`B. `-1`C. `0`D. non of these

Answer» Correct Answer - A
`sqrt(3)cot 20^(@)-4cos 20^(@)`
`=(sqrt(3)cos20^(@))/(sin20^(@))-4cos 20^(@)`
`=(sqrt(3)cos 20^(@)-4sin20^(@)cos20^(@))/(sin20^(@))`
`=(2[sqrt(3)/(2)cos 20^(@)-2sin20^(@)cos20^(@)])/(sin20^(@))`
`=(2(sin60^(@)cos20^(@)-sin40^(@)))/(sin20^(@))`
`=([2sin60^(@)cos20^(@)-2sin40^(@)])/(sin20^(@))`
` =(sin80^(@)+sin40^(@)-2sin40^(@))/(sin20^(@))`
`=(sin80^(@)-sin40^(@))/(sin20^(@))`
`=(2cos60^(@).sin20^(@))/(sin20^(@))`
`2xos60^(@)=1`
39.

if `y=ae^(x)+be^(-3x)+c`, then the value of `((d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2)))/((dy)/(dx))` is

Answer» Correct Answer - 3
`y=ae^(x)+be^(-3x)+c`. Differentiating and solving we get
`(d^(3))/(dx^(3))+2(d^(2)y)/(dx^(2))-3(dy)/(dx)=0`
40.

If `f(x)=` maximum `(sinx,cosx,1/2)` and the area bounded by `y=f(x),x`- axis, `y`- axis and `x=2pi` be `lamda(pi)/12+sqrt(2)+sqrt(3)` sq. units then the value of `lamda` is

Answer» Correct Answer - 5
Required area
`=int_(0)^((pi)/4) cos xdx+int_((pi)/4)^((5pi)/6)sin x dx+int_((5pi)/6)^((5pi)/3) 1/2 x + int_((5pi)/6)^(2pi) cos xdx`
`=1/(sqrt(2))+((sqrt(3))/2+1/(sqrt(2)))+(5pi)/12+(sqrt(3))/2`
`=(5pi)/12+sqrt(2)+sqrt(3)` sq. units
41.

if `f(x)=` maximum `(sinx,cosx,(1)/(2))` and the area bounded by `y=f(x)`, x-axis, y-axis and `x=2pi` be `lamda(pi)/(12)+sqrt(2)+sqrt(3)` sq. units then the value of `lamda` is

Answer» Correct Answer - 5
reqruied area
`=int_(0)^((pi)/(4))cosxdx+int_((pi)/(4))^((5pi)/(6))sinxdx+int_((5pi)/(6))^((5pi)/(3))(1)/(2)dx+int_((5pi)/(3))^(pi)cosxdx`
`=(1)/(sqrt(2))+((sqrt(3))/(2)+(1)/(sqrt(2)))+(5pi)/(12)+(sqrt(3))/(2)`
`=(5pi)/(12)+sqrt(2)+sqrt(3)sq.` units
42.

Let `f:[-pi/3,(2pi)/3]vec[0,4]`be a function defined as `f(x)=sqrt(3)sinx-cosx+2.`Then `f^(-1)(x)`is given by`sin^(-1)((x-2)/2)-pi/6``sin^(-1)((x-2)/2)+pi/6``(2pi)/3+cos^(-1)((x-2)/2)`(d) none of theseA. `sin^(-1)((x-2)/(2))-(pi)/(6)`B. `sin^(-1)((x-2)/(2))+(pi)/(6)`C. `(2pi)/(3)-cos^(-1)((x-2)/(2))`D. none of these

Answer» Correct Answer - B::C
`f(x)=sqrt(3)sinx-cosx+2`
`=2(((sqrt(3))/(2)sinx-((1)/(2))cosx)+2`
`=2(cos((pi)/(6))sinx-sin((pi)/(6))cosx)+2`
`2sin(x-(pi)/(6))+2`
`x in[-(pi)/(3),(2pi)/(3)]impliesx-(pi)/(6)in[-(pi)/(3)-(pi)/(6),(2pi)/(3)-(pi)/(6)]`
i.e., `x-(pi)/(6)in[-(pi)/(2),(pi)/(2)]`
if `x-(pi)/(6)in[-(pi)/(2),(pi)/(2)]`
`impliessin(x-(pi)/(6))in[-1,1]`
`implies2sin(x-(pi)/(6))+2in[0.4]`
`impliesf(x)` is one-one & onto
`becausef^(-1)(x)` exists
`y=2sin(x-(pi)/(6))+2`
`(y-2)/(2)=sin(-(pi)/(6))`
`x=sin^(-1)((y-2)/(2))+(pi)/(6)`
i.e., `f^(-1)(x)=sin^(-1)((x-2)/(2))+(pi)/(6)`
43.

The respective ratio of income and expenditure of a man is 3 : 1. If his income is increased by 25 percent and expenditure is decreased by 40 percent, then what will be the respective ratio of his new income and new expenditure?1. 25 : 12. 22 : 43. 23 : 14. 25 : 4

Answer» Correct Answer - Option 4 : 25 : 4

Given:
Ratio of income to expenditure 3 : 1

Calculation:

Let income be 3x and expenditure be x

Increased income = 1.25(3x) = 3.75x

Decreased expenditure = 0.6x

Required ratio of income to expenditure = 3.75x/0.6x = 25/4

∴ Respective ratio of his new income and new expenditure = 25 : 4.

44.

If P/2 = Q/6 = R/8, then what is the value of (R + P)2 : (P + Q)2 : (Q + R)2?1. 25 : 16 : 492. 36 : 16 : 643. 49 : 16 : 644. 49 : 36 : 16

Answer» Correct Answer - Option 1 : 25 : 16 : 49

Given:

P/2 = Q/6 = R/8

Calculation:

P/2 = Q/6 = R/8

⇒ Q = 3P; R = 4P

⇒ R + P = 5P

⇒ P + Q = 4P

⇒ Q + R = 7P

⇒ (R + P)2 : (P + Q)2 : (Q + R)2 = (5P)2 : (4P)2 : (7P)2

∴ (R + P)2 : (P + Q)2 : (Q + R)2 = 25 : 16 : 49

45.

Which of the following has non-terminating decimal expansion ?(A) 5/8(B) 6/15(C) 19/512(D) 31/343

Answer»

Correct answer is (D) 31/343

46.

A solid hemisphere of radius R is mounted on a solid cylinder of same radius and density as shown .the height of cylinder is such that the resulting centre of mass is at O. if radius of sphrere is `2sqrt(2)m`, what is the height of the cylinder (in m ) ?

Answer» Correct Answer - 3
`P2/3 pi R^(3) .(3R)/8=P.piR^(2)h.h/2`
`R/(sqrt(2))=h=2m`
47.

The solution of the differential equation tan x dx + tan y dy = 0 is (A) tan x + tan y = K (B) sec x . sec y = K (C) cos x + cos y = K (D) sin x + sin y = K

Answer»

Correct answer is (B) sec x . sec y = K

48.

Which of the following is the smallest composite number ? (A) 1 (B) 2 (C) 3 (D) 4

Answer»

Correct answer is (D) 4

49.

π is -(A) an irrational number (B) a rational number (C) an integer (D) none of these

Answer»

Correct answer is (B) a rational number

50.

Which of the following is an irrational number ?(A) \(\sqrt{\frac{3}{12}}\)(B) \(\sqrt{\frac{2}{10}}\)(C) \(\sqrt{\frac{7}{7}}\)(D) \(\sqrt{2} \times \sqrt{2}\)

Answer»

Correct answer is (B) \(\sqrt{\frac{2}{10}}\)