Practice for Spotting Errors Set– 2

In following questions, some parts of sentences have errors and some are corrects. Find out which part of sentence has an error and blacken the oval corresponding to the appropriate letter (A, B, C). If a sentence is free from errors, blacken the oval corresponding to (D) in answer sheet.

                                           Spotting Error SET – 2

1.      Fifty year ago, (A) / Dan Galouye wrote a brilliant  (B)/science-fiction novel that featured a virtual city. (C)/ No error. (D)

2.      His tradition-bound attitude (A) / was a constant source of dissatisfaction (B)/ among the younger members of the family. (C) / No error (D)

3.      The two first to arrive (A)/ were the lucky recipients (B) / of a surprise gift.(C) / No error (D)

4.      Adults suffering chicken pox (A) / can develop (B) / all kinds of complications. (C) / No error (D)

5.      The well-known pianist (A) / had to practice for several hours a day  (B) / even after he rose to fame. (C) / No error (D)

6.      The Prime Minister was asked (A) / to write a forward (B) / to the book. (C)/ No error (D)

7.      I must complement you (A) / on your good manners (B) / and your impeccable behavior. (C) / No error (D)

8.      The young men from Japan (A) / found the assent of the mountain (B) / hard going. (C) / No error (D)

9.      Even today (A) / it is incredulous to think (B) / that men have walked on the moon . (C) / No error (D)

10.    The firemen wore (A) / inflammable clothing (B)/ that men have walked on the moon (C)/ No error

11.    Beside food(A)/  the pilgrims carried (B0 / some medicines. (C) / No error (D)

12.    The sweets (A) / were shared (B)/ between the four girls. (C) / No error

13.    The long-distance train (A) / which met with an accident (B) / was carrying some army personal. (C) / No error (D)

14.    I have (A)/ seen her only once (B) / but I am liking her a lot . (C) / No error (D)

15.    I told him (A)/ that we enjoyed very much (B) / at the party. (C) / No error (D)

16.    John is working very hardly (A) / as the examinations (B) / are fast approaching . (C) / No error

17.    Two hours have passed (A) / since  (B) / he had fallen asleep. (C) / No error

18.    Having broken down (A) / the driver sent the car (B) / to the garage. (C) / No error(D)

19.    He is one of  those writers  (A) / who has won acclaim (B) / the world over. (C) / No error

20.    The mason will not (A) / do the work (B)/ except give the order. (C) / No error (D)

21.    When students are ill (A) / they find that they have a lot of work (B) / to catch up when they return. (C) / No error (D)

22.    Scarcely did I reach the airport, (A) / nervous and tense than the plane took off (B) / leaving me stranded in an alien place. (C) / No error (D)

23     The power to (A) / distinguish between differences (B) / is the basis of science and art . (C) / No error (D)

24.    He ate (A) / nothing (B) / since yesterday. (C) / No error (D)

25.    An experimental vaccine (A) / has brought (B) / glimmer of hope for malarial researcher. (C) / No error (D)

26.    After making me wait for two agonising hours (A) the great man called me in (B)/ and asked me what do I want. (C) / No error(D)

27.    The ebb and flow of the rides (A) / are(B) /  now understood.(C) / No error (D)

28.    The green paint on the wall(A)/  provides a suitable contrast(B)/ with the yellow doors.(C)/  No error (D)

29.    Either of the roads(A) / lead(B) / to the park.(C) / No error (D)

30.    I went to the temple(A)/ with my parents(B)/ my aunts and my cousins. No error(D)

31.    I have passed(A)/ the examination(B)/ two years ago.(C)/ No error(D)

32.    The earth moves (A)/round the sun .(B)/ Isn’t it?(C)/ No error(D)

33.    Unless you do not give(A)/ the keys of the safe(B)/ you will be shot.(C)/ No error(D)

34.    Of the billions of stars in the galaxy,(A)/ how much are(B)/ suitable for life.(C)/ No error(D)

35.    The value of the dollar(A)/ declines as the rate(B)/ of inflation raises.(C)/ No error (D)

36.     One of my desires(A)/ are to become(B)/ a doctor.(C)/ No error(D)

37.    A hot and(A)/ a cold spring(B)/ was found near each other.(C)/ No error(D)

38.     doubts are cleared(A)/ between(B)/ you and  I .(C)/ No error (D)

39.    He never has(A) / and never will (B) /take such strong measures. No error (D)

40.    I forgot (A) /if I had to pay(B) / the fees today. (C) / No error(D)

 41.   He has been working on (A) /the problem for a long time(B) / but is still not able to solve it. (C) / No error (D)

42.    Standing on the top of the light-house(A) / the distant ships(B) / are clearly visible. (C)/ No error(D)

43.    The train came(A)/ at 2 O’clock(B) / in the next morning. (C) /No error(D)

44.    It is high time(A)/ you buy(B)/ a car.  (C) /No error(D)

45.    I and my brother(A) / live with our parents(B) / and work in the farm. (C) / No error(D)

46.    Few scientists changed people’s ideas as much as Charles Darwin with his theory of evolution, (A) /yet as a boy(B)/ he showed little sign of becoming a great scientist. (C) / No error(D)

47.    The Prime Minister’s good looks won him(A) / the election but he has still to prove(B) / that he’s not a just pretty face. (C) / No error(D)

48.    The two books are the same(A)/ except for the fact for the fact that this (B) /has an answer in the back. (C)/ No error (D)

49.    He estimated his income tax bill(A) / by extrapolation over figures(B) / submitted in previous years. (C)/ No error(D)

50.    The modern office block(A)/ sticks out like a sore thumb(B)/ among the old buildings in the area. (C) /No error(D)

51.    I have not been to (A)/  New York before(B) / and neither my sister. (C) / No error(D)

ANSWERS

1.      (A)  Use years in place of year

2.      (C)   say to for among

3.      (A)  Use The first two

4.      (A)  Use suffer from

5.      (B)  Use practice in place of practice

6.      (B)  foreword in place of forward

7.      (D)  No error

8.      (B)  Use ascent for assent

9.      (B)  use incredible for incredulous

10.    ( B) Use non-inflammable for inflammable

11.    (A)  Use Besides for Beside

12.    (C)  Use among

13.    (C)  Use personnel for personal

14.    (C)  Say I like for I am liking

15.    (B)  Use ourselves after enjoyed

16.    (A)  Use hard in place of hardly

17.    (C)  Use fell in place of had fallen

18.    (A)  Use the car before having

19.    (B)  Say have won

20.    (C)  Use orders for order

21.    (C)  say catch up with

22.    (A) Use no sooner for Scarcely

23.    (D) No error

24.    (A)  Use has eaten in place of ate

25.    (C) a glimmer of hope

26.    (C)  say what I wanted

27.    (A)  Use the before flow

28.    (C)  Use to for with

29.    (B)  Use leads in place of lead

30.    (A)  Remove the before temple

31.    (A)  say passed in place of have passed

32.    (C)  use doesn’t it? In place of isn’t it?

33.    (A)  Remove don’t

34.    (B)  Use how many for how much

35.    (C)  Use rises in place of raises

36.    (B)  Use is for are

37.    (C)  Use were in place of was

38.    (C)  Use me for I

39.    (A)  Say has taken

40.    (B)  Use that for if

41.    (C)  Yet in place of still

42.    (A)  Say If one stands on for Standing on

43.    (C)  Delete in

44.    (B)  Use you bought in place of you buy

45.    (A)  Use my brother and I

46.    (A)  Add did after Darwin

47.    (C)  Use just a in place of a just

48.    (C)  Say at the back

49.    (B)  Use from in place of over

50.    (D)  No error

51.    (C)  Say neither has my sister been

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English Language and Comprehension Spotting Errors Set – I

In following questions, some parts of sentences have errors and some are corrects. Find out which part of sentence has an error and blacken the oval corresponding to the appropriate letter (A, B, C). If a sentence is free from errors, blacken the oval corresponding to (D) in answer sheet.

Spotting Errors  Set -I

1.    The composition contained / even no less / than twenty mistakes. / No error.

                        A                                 B                      C                      D

2.    He told us / that / he has not read the book. / No error

            A          B                      C                          D

3.    The minister announced  / compensation for / the victims from the accident. / No error

                        A                                 B                                  C                           D

4.    I should / have preferred / to go by myself. / No error

            A                     B                      C                D

5.    There is / no place / in this compartment /  No error

            A         B                      C                      D

6.    The / young man / had no manner. / No error

         A                        B                      C                D

7.    There are many / beautiful furnitures / in the room./ No error

            A                                 B                      C              D

8.    The policeman prevented us from / entering into / the hall. / No error

                        A                                             B          C              D

9.    The world / comprises / good and bad people./ No error

            A                 B                          C                      D

10.  Would you please order / for tea and biscuits / for all of us / No error

                        A                                 B                      C                D

11.  I have paid / my bill for electricity/ only a week ago. / No error

            A                     B                                  C                      D

12. He has just been appointed / Ambassador to an important country / for a five-year term./ No error

                        A                                             B                                              C                      D

13. This is the old man / whom I said / had helped me. / No error

                        A                     B                      C          D

14. The dog pushed / the door open / and stole the meat. / No error

            A                     B                      C                             D

15. The truck driver accused / the lady for walking / in the middle of the road. / No error

                        A                                 B                                  C                      D

16. Everybody / it must be admitted / has their ups and downs. /No error

            A                     B                                  C                      D

17. When the thief broke into their house / they raised a hue and cry / and the thief caught                                                                    A                                             B                               C

 immediately by the people. / No error

                                                       D

18. I have tried / to meet him several times / he isn’t never at home. / No error

            A                                 B                                  C                      D

19. This house / is / mine / No error

            A         B      C             D

20. He is proficient in Hindi / and can speak English / but he does not know to read 
                   A                                 B                                           C         

and write English. / No error.

                                         D

21. Every woman in the world / fervently hopes that their child / will be a normal and 
                     A                                             B                                      C                            

healthy baby./ No error.

                                 D

22.  Neither of them / send their papers / in time for the last seminar./ No error

            A                                 B                      C                                  D

23. There is not many traffic / along the street / where I live./ No error

                        A                                 B                C                D

24. The front page story was about a school girl / that had hurt herself / while saving a 

                                    A                                             B                              C

child in an accident. / No error

                                            D

25. He took / leave of / four days. / No error

            A         B                C                D

26. The police arrived and discovered / a large number of hoarded sugar / in his shop. / No error.

                                    A                                             B                                  C          D

27. Raju doesn’t come to our house because our dog barks at him / and licks him. /

                                                            A                                             B                                  

 although I have often told him not to afraid of it. / No error

                               C                                                     D

28. Running across the playground, my pen fell in the mud / fortunately, I noticed it / 

                                                A                                                         B                                  

and picked it up. /No error.

               C                     D

29. The last thing that the fond mother / gave her only son / was his blessing / No error

                                    A                                 B                      C                      D

30. To his innovative ideas and practices in farming / he was given / the Krishi Pandit 

                                                A                                       B                                        

Award last year. / No error

               C                     D

31. As a dramatist / Shaw is superior than / any other twentieth century writer. / No error.

                  A                           B                                              C                          D

32.  Molly speaks / French well / isn’t it ? / No error

               A                  B                  C              D

33.  Mutton is more hard / to digest /than vegetables. / No error

                        A                     B          C                      D

34. I have found that he is/ neither willing / or capable. / No error.

                        A                     B                      C               D 
  

35. For times immemorial / sea shells have been used by man / in many ways. / No error.

                        A                                             B                                  C             D

36. He will not  / listen / what you say. / No error.

            A               B                C                  D

37. I have done my best  / the whole thing is now/ in the hands of the Gods. / No error.

                        A                                 B                                  C                      D  
                  

38. Oh for God sake / leave me alone / and go away from here. / No error.

                        A                     B                      C                          D

39. This is a strange world / where each one pursues their own golden bubble / 

                        A                                                         B                                              

and laughs at others for doing the same. / No error

                                  C                                       D

40. Each of the boys / were to blame / for the accident. / No error.

                        A                     B                      C               D

41. Young school students nowadays / are subjected to intense pressure from peers 

                                    A                                                                     B

and parents alike / to fetch high marks in public examinations. / No error.

                                                          C                                              D

42. The candidate’s performance / was not upto mark / in the interview. / No error.

                                    A                                 B                      C                      D

43.  After a successful tour of Europe / my old parents returned back to India / 

                                    A                                             B                                              

on New Year’s day. / No error
              C                       D

44. The commission set up to submit a report / about the reasons for the fall in educational standards/

                                                A                                             B         

could not complete its work even after two years. / No error

                                    C                                              D

45. Though death is a daily fact / it is a wonder that people should / behave to be immortal. / No error.

                        A                                             B                                              C                      D

46. It would be more better / if you could paint / the gate green. / No error.

                        A                                 B                      C             D

47. Being his sole companion / I was the one to who / he naturally looked for help. / No error.

                        A                                 B                                  C                                  D

48. He came to report that the work went very slowly / because the X-ray machine was

                                                A                                                                     B

 not working very good / that morning. / No error.

                                                       C              D

49. The principal objected / to them wearing short skirts / at the function . /No error.

                        A                                 B                                  C                      D

50.I spent nearly four and half years / at Harrow / of which three were in the Army class. / No error.

                        A                                 B                                              C                                  D

                                                                 Answers

1. (B)   Remove even.

2  (C)   Use had in place of has

3. (C) Use of in place of from

4. (D)  The sentence is correct

5. (B)  Use room or seat in place of place

6.  (C) Say had no manners

7.  (B)  Use pieces of furniture in place of furnitures.

8.  (B) Remove into

9. (C) Say both good and bad people.

10.  (B)  Remove for

11.  (A) Remove have

12.  (B) Add an before ambassador

13. (B) Use who in place of whom  I said

14.  (D) The sentence is correct

15.  (B) Use of in place of for

16.  (C)  It shows be her or his

17. (C) Add was before caught

18. (C) Use is in place of isn’t

19. (D) The sentence is correct.

20.  (C) Add how after know

21.  (B) Use her in place of their

22. (B) Please check the rule of antecedent of pronouns

23. (A) Use much in place of many

24. (B) The relative pronouns here used that for a girl is not proper. It must be who because it is always used              for proper nouns and human beings. It’s a spelled out rule of English language.

25.  (B) Here leave can’t go alone. Because the basic rule of English language is that Noun always goes with              a number /diferminer

26. (B)  Use quantity in place of number

27. (C) Add be before afraid

28. (A) Found in the sentence seems proper

29.  (C)  Use her in place of his

30.  (A)  Use For in place of To

31. (B) Use to in place of than

32. (C) Say doesn’t she

33. (A)  Use harder in place of more hard

34.  (C) Say nor capable

35.  (A) Say From time immemorial

36.  (B) Say listen to

37. (C) Say in the hands of God.

38. (A) Say oh for God’s sake

39. (B)  Use his in place of their

40. (B) Use was in place of were

41.  (B) Add their before peers.

42.  (B) Add the before mark

43.  (B) Remove back

44.  (B) use academic in place of educational

45.  (A) Remove daily

46. (A) Remove more or use much in place of more

47.  (B) Use whom in place of who

48.  (B)  Use well in place of very good

49. (B) Use their in place of them

50.  (A) Add a before half

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Trigonometry Practice questions Part –I

1. If sin x + sin² x +sin³ x =1, then the value of  cos⁶ x −4cos⁴ x +8cos² x =

       (A) 0                     (B) 2                 (C)  4                (D) 8

First Method:

The given equation can be written as

Sin x (1+sin² x)= 1– sin² x =cos² x

⇒ sin x (2 – cos² x) = cos² x

⟹sin² x (2– cos² x)² = cos⁴ x  [after squaring both sides]

⟹(1– cos² x) (4– 4 cos² x + cos⁴ x)= cos⁴ x

⟹ 4– 4 cos² x + cos⁴ x – 4 cos² x + 4 cos⁴ x – cos⁶ x =  cos⁴ x

⟹ cos⁶ x −8cos⁴ x +4cos² x = 4

Answer is option C

Second Method:

If x= 30°

sin x + sin² x +sin³ x = ½ + ¼ +1/8  = 7/8 ∼ 1

Here it is less than 1 but in second expression , it will more than 4

Because when sine decreases from 90° to 0° then cosine will increases in same range. i.e. sin 30° =1/2 but cos 30° =√3/2

⟹ cos⁶ x −4cos⁴ x +8cos² x = (√3/2)⁶ – 8(√3/2)⁴ +4 (√3/2)²

⟹ 27/32 – 4× 9/16 +8× ¾ = 147/32 which is more than 4

So we can choose option  C

You can solve many questions by taking value. But in sine and cosine you should careful at 45°

More questions for practice:

1.  If cot α +tan α =m and 1/ cos α – cosα = n then

       (A)   m (mn²)^1/3 – n (nm²)^1/3 = 1

      (B)  m (m²n)^1/3 – n (mn²)^1/3 = 1

      (C) n (mn²)^1/3 – m (nm²)^1/3 = 1

     (D) n (mn²)^1/3 – m (mn²)^1/3 = 1

2. If sin x + sin² x = 1,  then the value of cos¹² x + 3cos¹⁰ x +3cos⁸ x + cos⁶ x –1

    (A) 0                (B) 1                (C) –1               (D) 2

3.   If a cos³ α + 3a cos α sin² α = m  and a sin³  α + 3a cos² α sin α = n then

      (m + n)^2/3 + (m– n )^1/3  is equal to

               (A) 2a²              (B) 2a^1/3               (C) 2a^2/3              (D) 2a³

4.   6(sin⁶ θ + cos⁶ θ) – 9 (sin⁴ θ + cos⁴ θ) is equal to

       (A)  –1                 (B)  1                     (C) –3                     (D)    3

5. (1 + tan α tan β )² + (tan α – tanβ )²  is equal to

        (A)  tan² α +  tan² β                           (B)   cos² α   cos² β

        (C)  sec² α    sec² β                            (D)  )  tan² α   tan² β

6.  If cos 1° cos 2° cos 3° cos 4° ………. cos 179° = x + 1, then x=

        (A)  –1              (B)  0             (C)   1                   (D)  none of these

7.   If cos x + sin x = √2 cos x then tan² x + 2 tan x =

         (A) 0                    (B)   1             (C)      2                   (D) 3

8.     If A = sin⁸ θ +  cos¹⁴ θ, then for all values of θ

          (A)  A > 1            (B)  A ≥ 1          (C) A < 1                   (D) A ≤ 1

9.     If θ is an acute angle and sin θ = cos θ , the value of  2tan² θ + sin² θ – 1 is

          (A) ½             (B)  3/2            (C)   0              (D)   1

10.   In an acute angled triangle ABC, if tan ( A + B – C ) = 1 and sec ( B + C – A)   = 2 , value of B =

           (A)   60°  (B) 52 (1/2 )°    (C)  67 (1/2)°          (D) 57  (1/2)°

11. An isosceles triangle ABC is right-angled at B. D is a point inside the triangle ABC. P  and Q are the feet of the perpendiculars drawn from D on the sides AB and AC respectively of Δ ABC. If AP = a cm, AQ = b cm and ∠BAD = 15º, sin75º =

           (A) 2b/ √a       (B)  a/2b         (C) √3 a/ 2b     (D) 2a/ √3 b

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