**Practice questions for FCI Grade III Exam 2012 (General Intelligence)**

**Direction (Q. 1 – 10): Select the related words/letters/numbers from the given alternatives.**

1. BAT : TAB :: TAG : ?

(a)GATE

(b)GAT-Answer

(c)ATG

(d)ATTG

2. 10 : 15 :: 26 : ?

(a)31

(b)33

(c)35-Answer

(d)38

3. 16 : 125 :: ? : 343

(a)36-Answer

(b)49

(c)216

(d)256

4. ABD : EFH :: KLN : ?

(a)OPQ

(b)PQS

(c)OQP

(d)OPR-Answer

5. 4 : 68 :: 5 : ?

(a)100

(b)125

(c)130-Answer

(d)135

6. Pen : Stationery :: Potato : ?

(a)Fruit

(b)Vegetable-Answer

(c)Animal

(d)Grocery

7. Book : Author : Film : ?

(a)Director

(b)Singe r

(c)Actor

(d)Producer-Answer

8. Mosquito : Dengue :: ? : Rabies

(a)Dog-Answer

(b)Mosquito

(c)Cat

(d)Tiger

9. BDFH : YWUS :: DCBA : ?

(a)WXYZ-Answer

(b)ZYXW

(c)EFGH

(d)HGFE

10.6 : 21 :: ? : 36

(a)9

(b)10

(c)11-Answer

(d)12

**Directions (Q. 11 – 20): Select the one which different from other three responses.**

11.(a) White – Black

(b)Leader – follower

(c) Hero – villain

(d)Judge – Judgement-Answer

12.(a) 8 – 64-Answer

(b)6 – 42

(c) 9 – 90

(d)5 – 30

13.(a) 289

(b)384-Answer

(c)441

(d)529

14.(a) 11

(b)13

(c)15-Answer

(d)17

15.(a) 6

(b)28

(c)512

(d)256-Answer

16.(a) BLUY-Answer

(b)CXFU

(c)DWGT

(d)EVHS

17.(a) Computer-Answer

(b)Input

(c)Output

(d)Processing

18.(a) Internet

(b)News Paper-Answer

(c)Television

(d)Radio

19.(a) A

(b)D

(c)I

(d)Q-Answer

20.(a) FU

(b)HS

(c)IQ

(d)LO

**Directions: In questions no. 21 to 26, choose the correct alternative from the given ones that will complete the series.**

21.1, 9, 25, 49, ?, 121

(a)64

(b)81

(c)91-Answer

(d)100

22.4, 7, 12, 19, 28, ?

(a)30

(b)36-Answer

(c)39

(d)49

23.11, 13, 17, 19, 23, 25, ?

(a)26

(b)27

(c)29-Answer

(d)37

24.6, 12, 21, ?, 48

(a)33-Answer

(b)38

(c)40

(d)45

25.2, 5, 9, ?, 20, 27

(a)14-Answer

(b)16

(c)18

(d)20

26.6, 11, 21, 36, 56, ?

(a)42

(b)51

(c)81-Answer

(d)91

**Directions: In questions no. 27 to 30, which one of the given responses would be a meaningful order of the following words in ascending order.**

27.1. Phrase 2. Le tter 3. Word 4. Sentence

(a) 1, 2, 3, 4

(b)1, 3, 2, 4

(c) 2, 3, 1, 4-Answer

(d)2, 3, 4, 1

28.1. Honey 2. Flower 3. Bee 4. Wax

(a) 1, 2, 3, 4

(b)1, 3, 2, 4

(c) 2, 3, 1, 4-Answer

(d)2, 3, 4, 1

29.1. Plan 2. Rent 3. Building 4. Construction

(a) 1, 2, 3, 4

(b)1, 3, 2, 4

(c) 2, 3, 1, 4

(d)1, 4, 3, 2-Answer

30.1. College 2. Child 3. Salary 4. School 5. Employment

(a) 1, 2, 3, 4, 5

(b)2, 4, 1, 5, 3-Answer

(c) 4, 1, 3, 5, 2

(d)5, 3, 2, 1, 4

31.There are five friends — A, B, C, D and E. C is the tallest. A is shorter than B but taller than E. D is little shorter than B but little taller than A. Who is talle r than E but shorter than D?

(a)C

(b)D

(c)E

(d)A-Answer

32.From the given alternatives selec t the word which letters of the given word.STARVATION

(a)RESERVATION-Answer

(b)STATION

(c)STAR

(d)RATION

33.A group of alphabets are given with each being assigned a number. These have to be unscrambled into a meaningful word and correct order or letters may be indicated from the given responses.

A C E F R S U

1 2 3 4 5 6 7

(a)1234567

(b)5437612

(c)4357612

(d)6754123-Answer

cannot be formed using the

34.In a certain code, KAVERI is writte n as LBWFSJ. How will KRISHNA be written in the same code?

(a)ANHSIRK

(b)LSJTIOA

(c)LSJTIOC

(d)LSJTIOB-Answer

35.In a certain code, LONDON is written as NODNOL. How will FRANCE be writte nin the same code?

(a)ECNARF-Answer

(b)ECNRAF

(c)ECRNAF

(d)ECNFRA

36.Which interchange of signs will make the following equation correct?

12 ÷ 4 – 2 × 8 + 10 = 6

(a)and-Answer

(b)and

and

(c)

(d)÷ and +

37.Select the correct combination of mathematical signs to replace * signs and to balance the give n equation.

12 * 4 * 2 * 8 * 3.

(a)

(b)× ÷ = ×-Answer

(c)

(d)+ × ÷ =

38.Some equations arc solve d on the basis of a certain system. On the same basis,find out the correct answer for the unsolved equation.

3 × 4 × 5 = 453, 6 × 7 × 8 = 786, 7 × 6 × 5 = ?,

(a)765

(b)567

(c)657-Answer

(d)675

**Direction: In questions no. 39 & 42, select the missing number from the given responses.**

39. 30 24 20 25 36 64 150 144 ?

(a)144

(b)150

(c)160-Answer

(d)180

40.4 2 4 5 3 3 3 6 7 60 36 ?

(a)72

(b)84-Answer

(c)100

(d)108

41.

2 3 5

3 5 3

4 6 8

29 60 ?

(a)81

(b)98-Answer

(c)108

(d)120

42.

2 3 5

3 5 3

4 6 8

35 140 ?

(a)60-Answer

(b)98

(c)108

(d)120

43.‘ ‘ starts walking towards East, turns left, again turns left, turns right, again turns right, once again turns left. In which direction is ‘ ’ walking now?

(a)East

(b)West

(c)North-Answer

(d)South

44.Ram walked 6 km West of his house and then turned to South covering 10 km. Finally he moved 6 km towards East and then again 2 km South. How far is he from his initial position?

(a) 2 km

(b)6 km

(c) 10 km

(d)12 km-Answer

45.A, B, C, D and E are standing in a line facing North. E is standing 40 me tres left to B. A is standing 20 metres left to C. D is standing 20 me tres right to E and 50 metres right to C. What is the distance between A and D?

(a) 30 m

(b)50 m

(c) 70 m-Answer

(d)90 m

46.A solid cube of 5 inches has been painted red, gree n and black on pairs of opposite faces. It has been cut into one inch cubes. How many cubes have only one faces painte d?

(a)54-Answer

(b)25

(c)125

(d)5

**Directions: In the question no. 47 to 48, Two statements are given followed by four conclusions I, and II .You have to consider the stateme nts to be true even if they seen to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Indicate your answer.**

47.Stateme nts 1. Some pens are pencils.

2. Some pencils are books.

Conclusions I. Some pens are books.

II. No pen is a book.

(a) Only I follows.

(b)Only II follows.

(c) Either I or II follows.-Answer

(d)Neither I or II follows.

48.Stateme nts 1. Some pens are pencils.

2. No pencil is a book.

Conclusions I. No book is a pe n.

II. Some pencils are book.

(a) Only I follows.

(b)Either I or II follows.

(c) Only II follows.

(d)Neither I or II follows.-Answer

49.A square paper is folded in a particular manner and a punc h is made. when unfolded. The paper appears as shown below.

**Directions-(Q.1 – 5) In each of these questions a group of numbers are given which are to be coded as per the scheme given below. You have to find out which of the answers (A), (B). (C) or (D) has the correct coded form of the given numbers and indicate it on your answer sheet. If none of the coded forms are correct mark (E) i.e. ‘None of these’ as the answer.
Numbers : 6 8 3 4 0 1 2 5 7 9
Codes : S L V K M R Y D B Z
(Letters) **

1. 824301

(A) YLKVMR

(B) LVKYMR

(C) L YKVMR -answer

(D) L YKVRM

(E) None of these

2. 734025

(A) VBKMYD

(B) BVKMYD -answer

(C) BVMKYD

(D) BVKMDY

(E) None of these

3. 432908

(A) KVYZML -answer

(B) KYVZML

(C) VKYZML

(D) KVYZLM

(E) None of these

4. 578914

(A) DBLZRK -answer

(B) BDLZRK

(C) DBLRZK

(D) DBLZKR

(E) None of these

5. 215963

(A) YRDSZV

(B) RYDZSV

(C) YRDZVS

(D) YRDZSV-answer

(E) None of these

**Directions-(Q.6 – 10) In each question five words are given. Which of them will come at the third place if arranged alphabetically? **

6.

(A) Jovial

(B) Journey

(C) Jumble

(D) Juggle

(E) Judicial -answer

7.

(A) Magus

(B) Magneto

(C) Magnolia -answer

(D) Magnum

(E) Magnify

8.

(A) Concoct -answer

(B) Concourse

(C) Concierge

(D) Condense

(E) Concise

9.

(A) Thistle

(B) Thorough

(C) Thirsty

(D) Thole -answer

(E) Thorium

10.

(A) Resemble

(B) Rescind

(C) Reside

(D) Residue

(E) Reserve-answer

**Directions-(Q.11 – 15) The news item in each question below is to be classified into one of the following five areas-**

(A) Sports

(B) Health

(C) Environment

(D) Economics

(E) Entertainment -answer

The letter of the area (A) or (B) or (C) or (D) or (E), as the case may be is your answer.

11. Famous actress offered a three film deal by a leading production house.

(A) Sports

(B) Health

(C) Environment

(D) Economics

(E) Entertainment -answer

12. Scientists discover 4 new Alzheimer genes.

(A) Sports

(B) Health -answer

(C) Environment

(D) Economics

(E) Entertainment

13. 1500 students were vaccinated against Hepatitis B last week .

(A) Sports

(B) Health -answer

(C) Environment

(D) Economics

(E) Entertainment

14. Only 1164 tigers left in India.

(A) Sports

(B) Health

(C) Environment -answer

(D) Economics

(E) Entertainment

15. Majority Asian stocks hit a 3 year high this week.

(A) Sports

(B) Health

(C) Environment

(D) Economics -answer

(E) Entertainment

**Directions-(Q.16 – 20) In each of these questions a group of numbers are given which are to be coded as per the scheme given below. You have to find out which of the answers (A), (B), (C) or (D) has the correct coded form of the given numbers and indicate it on your answer sheet. If none of the coded forms are correct mark (E) i.e. ‘None of these’ as the answer. **

Numbers : 3 4 5 2 1 8 9 7 6 0

Codes : U H L D J Y R M S A

(Letters)

16. 786301

(A) MYSAUJ

(B) YMSUAJ

(C) MYSUAJ -answer

(D) MYSUJA

(E) None of these

17. 596142

(A) LRSJOH

(B) RLSJHO

(C) LRSJHO -answer

(D) LRJSHO

(E) None of these

18. 057218

(A) LAMOJY

(B) ALDMJY

(C) ALMOY J

(D) ALMOJY -answer

(E) None of these

19. 634159

(A) SUHJLR -answer

(B) SUJHLR

(C) SUHJRL

(D) USHJLR

(E) None of these

20. 841035

(A) HY JAUL

(B) YHJAUL -answer

(C) YHAJUL

(D) YHJALU

(E) None of these

**Directions-(Q.21 – 25) In each question five words are given. Which of them will come at the third place if arranged alphabetically? **

21.

(A) Nitrate

(B) Nimbus

(C) Niobium -answer

(D) Nirvana

(E) Nineteen

22.

(A) Gazebo -answer

(B) Gauze

(C) Gazette

(D) Gavotte

(E) Gazump

23.

(A) Coffee

(B) Coffin -answer

(C) Cogent

(D) Coeval

(E) Cogitate

24.

(A) Alliance

(B) Alley

(C) Allotrope

(D) Allowance

(E) Alligator -answer

25.

(A) Dimple

(B) Dinar

(C) Dinner

(D) Dinette -answer

(E) Dingle

**Directions-(Q.26 – 30) The news item in each question below is to be classified into one of the following five areas-**

(A) Sports

(B) Health -answer

(C) Environment

(D) Economics

(E) Entertainment

The letter of the area (A) or (B) or (C) or (D) or (E), as the case may be is your answer.

26. Vitamin consumption was found to be lower in the girls from the rural areas as compared to the males.

(A) Sports

(B) Health -answer

(C) Environment

(D) Economics

(E) Entertainment

27. Four new talent shows to be launched on television in the coming weeks.

(A) Sports

(B) Health

(C) Environment

(D) Economics

(E) Entertainment -answer

28. 7% hike in stock prices of a leading car manufacturing company.

(A) Sports

(B) Health

(C) Environment

(D) Economics -answer

(E) Entertainment

29. Team’s victory in the world championship series has done the nation proud.

(A) Sports -answer

(B) Health

(C) Environment

(D) Economics

(E) Entertainment

30. Famous choreographer has turned director for a leading production company

(A) Sports

(B) Health

(C) Environment

(D) Economics

(E) Entertainment-answer

**Directions-(Q.31 – 35) The letter group in each question below is to be codified in the following number codes**

**Letters : M T V B S A Z R P C
Number 7 4 1 9 6 8 2 5 0 3
Codes : You have to find out which of the answers (A) or (B) or (C) or (D) has the correct coded form of the given letters and indicate it on the answersheet. If none of the coded form is correct mark (E) as the answer. **

31. TACZMBP

(A) 4832790 -answer

(B) 4328790

(C) 4823970

(D) 4823790

(E) None of these

32. SRMVPBA

(A) 6751098

(B) 6571089

(C) 6571098 -answer

(D) 6750198

(E) None of these

33. VZBMPRC

(A) 1927053

(B) 1279503

(C) 1297503

(D) 1297053 -answer

(E) None of these

34. ZTCAVSP

(A) 2483160

(B) 2438160 -answer

(C) 2348160

(D) 2431860

(E) None of these

35. SMAVPTC

(A) 6871043

(B) 6780134

(C) 6781034

(D) 6870143

(E) None of these -answer

**Directions-(Q.36 – 40) Below in each of the question, five words are given. Which of them will come at the third position if all of them are arranged alphabetically as in the dictionary. **

36.

(A) Lamp

(B) Little

(C) Low

(D) Lick-answer

(E) Late

37.

(A) Sack

(B) Shame

(C) Sick

(D) Shy

(E) Show-answer

38.

(A) Dog

(B) Dig

(C) Dress

(D) Dull

(E) Doll-answer

39.

(A) Bill-answer

(B) Book

(C) Bake

(D) Bind

(E) Bank

40.

(A) Negotiate

(B) Natural

(C) Neglect

(D) Name-answer

(E) Note

**Directions-(Q.41 – 45) The news items in each question below is to be classified into one of the following five areas-**

(A) Politics

(B) Social Issues

(C) Science and Health

(D) Sports

(E) Miscellaneous

41. Meditation is the best cure for Stress Disorders.

(A) Politics

(B) Social Issues

(C) Science and Health -answer

(D) Sports

(E) Miscellaneous

42. Fashion Designer seen as a Fashion Disaster in a party.

(A) Politics

(B) Social Issues

(C) Science and Health

(D) Sports

(E) Miscellaneous -answer

43. Pregnancy amongst the teenagers is on a rise.

(A) Politics

(B) Social Issues -answer

(C) Science and Health

(D) Sports

(E) Miscellaneous

44. Car Racing is the latest fad amongst the youngsters.

(A) Politics

(B) Social Issues

(C) Science and Health

(D) Sports -answer

(E) Miscellaneous

45. With election campaign at its peak, the politicians come up with new promises.

(A) Politics -answer

(B) Social Issues

(C) Science and Health

(D) Sports

(E) Miscellaneous

**Directions-(Q.46 – 50) The news item in each question below is to be classified into one of the following five areas-**

(A) Science and Technology -answer

(B) Politics

(C) Sports

(D) Social issues

(E) Environment

The letter of the area (A) or (B) or (C) or (D) or (E) as the case may be is the answer.

46. Scientists have discovered a new gene responsible for causing diabetes.

(A) Science and Technology

(B) Politics

(C) Sports -answer

(D) Social issues

(E) Environment

47. Indian duo beat their Russian counterparts to reach the semi finals of the Australian open.

(A) Science and Technology

(B) Politics

(C) Sports -answer

(D) Social issues

(E) Environment

48. An NGO has been making best efforts to provide shelter to the thousands of homeless people in the country.

(A) Science and Technology

(B) Politics

(C) Sports

(D) Social issues -answer

(E) Environment

49. In the recent assembly elections, less than 50% citizens cast their vote.

(A) Science and Technology

(B) Politics -answer

(C) Sports

(D) Social issues

(E) Environment

50. An alarming rise in the cases of Asthma was reported in the city due to increased levels of pollutants from the nearby factories.

(A) Science and Technology

(B) Politics

(C) Sports

(D) Social issues

(E) Environment-answer

Directions-(Q.51 – 55) Following table shows the number of students from colleges A, B, C, D, E, F and G participating in an annual inter-college festival having the events as mentioned in the table.

Study the following table carefully and answer the questions which follow

Fields A B C D E F G

Elocution 14 7 10 5 8 11 9

Quiz 19 15 14 20 11 15 19

Dancing 12 20 15 18 21 16 19

Painting 23 16 17 10 15 9 17

Sports 32 29 41 30 19 26 21

Singing 26 17 14 14 21 24 19

Extempore 8 12 3 9 10 6 11

51. In College D, maximum number of participants is from which of the following fields?

(A) Quiz

(B) Sports -answer

(C) Elocution

(D) Painting

(E) None of these

52. Which college has the highest number of participants in Dancing?

(A) B

(B) D

(C) E -answer

(D) G

(E) None of these

53. Which two colleges have the same number of participants in Dancing?

(A) None -answer

(B) A and D

(C) C and G

(D) B and E

(E) C and F

54. Which is true in the following about the college F?

(A) Minimum participants in the Painting

(B) The number of participants of Quiz are more in the college F with the comparison of college B

(C) The number of participants in Elocution and Dancing are same

(D) Maximum students participating in the Sports -answer

(E) None of these

55. Which college has maximum students participate in the Extempore competition?

(A) E

(B) G

(C) C

(D) A

(E) None of these -answer

Directions-(Q. 56 – 60) The letter group in each question below is to be codified in the following number codesLetters # D J M E N H L B K G

Codes # 3 9 5 0 7 1 6 4 2 8

56. KJBGLM

(A) 298465

(B) 294865 -answer

(C) 294685

(D) 249865

(E) None of these

57. HLBJND

(A) 169473

(B) 164793

(C) 146973

(D) 164973 -answer

(E) None of these

58. MGJHBL

(A) 589146 -answer

(B) 581946

(C) 598146

(D) 589416

(E) None of these

59. NJBMEG

(A) 794580

(B) 749508

(C) 794058

(D) 754908

(E) None of these -answer

60. NBDKHE

(A) 723410

(B) 742310

(C) 743210 -answer

(D) 743120

(E) None of these

Directions-(Q.61 – 65) In each of these questions a group of numbers and symbols are given which are to be coded as per the scheme given below. You have to find out which of the answers (A), (B), (C) or (D) has the correct coded form of the given numbers and symbols and indicate it on your answer sheet. If none of the coded forms are correct mark (E) i.e. ‘None of these’ as the answer.

Numbers and Symbols : 4 & 6 $ ? 3 + @ 9 2 # 7 5 8

Codes (Letters) : A T Y O L R K Z X E W J B H

61. 753+$?:

(A) JBRKLO

(B) BJRKOL

(C) JBKROL

(D) JBRKOL -answer

(E) None of these

62. #73&+4:

(A) WJTRKA

(B) WJRTAK

(C) JWRTKA

(D) WJRTKA -answer

(E) None of these

63. 65&?+4:

(A) YBTLKA -answer

(B) YBLTKA

(C) BYTLKA

(D) YBTLAK

(E) None of these

64. 9263?+:

(A) XERYLK

(B) EXYRLK

(C) XEYRLK -answer

(D) XEYRKL

(E) None of these

65. @?7943:

(A) LZJXAR

(B) ZLJXAR -answer

(C) ZLXJAR

(D) ZLJXRA

(E) None of these

Directions-(Q.66 – 70) In each question five words are given. Which of them will come at the third place if rranged alphabetically?

66.

(A) Hostage -answer

(B) Hospital

(C) Hospice

(D) Hostile

(E) Hostel

67.

(A) Psalm

(B) Psychic

(C) Psephology

(D) Psyche

(E) Pseudo-answer

68.

(A) Ligament

(B) Ligneous

(C) Lignite

(D) Ligature

(E) Lighting -answer

69.

(A) Requisite

(B) Request -answer

(C) Requiem

(D) Reputable

(E) Repulsion

70.

(A) Glycerin

(B) Gluten -answer

(C) Glucose

(D) Glycogen

(E) Glowing

Question 1

Bala buys an equal number of pens, pencils, sketch pens of Rs.2.50, Rs.3, Rs.5 respectively. How many of each did he buy if he spends Rs.168 ?

a)12 b)16 c)18 d)20

Answer: b)16

Solution:

Let us assume that he buy X number of pens, pencils and sketch pens.

Then 2.50 x X + 3 x X + 5 x X = 168

10.50X = 168

X = 168 / 10.5 = 16

Hence he buys 16 numbers of pencils, pens, sketch pens respectively.

Question 2

Prabha and Aarthi paid a total of Rs.600 for some good. If Prabha paid 120 more than that of Aarthi, then how much is already paid?

a)Rs.250 b)Rs.150 c)RS.550 d)Rs.240

Answer : d)Rs.240

Solution :

Let the amount paid by Aarthi be Rs.X

Then, the amount paid by Prabha = Rs. X + 120

The total amount paid = Rs.600 = X + X + 120 = 2X + 120 = X = 240

Thus the amount paid by Aarthi is Rs.240

Question 3

A fruit seller had some apples. He sells 30% apples at the rate of Rs.30 per apple and the remaining 315 apples at the rate of Rs.20 per apple. The total selling price is :

a)Rs.15900 b)Rs.10350 c)RS.11550 d)Rs.12420

Answer :b)Rs.10350

Solution :

Let the total number of apples be X.

Then X = 30X / 100 + 315

70X / 100 = 315

X=3150 / 7 = 450

Now 30% of X = 30 x 450 / 100 = 135

He sells 135 apples at the rate of Rs.30 per apple and 315 at the rate of Rs.20 per apple

Then the total selling price = 135 x 30 + 315 x 20 = 4050 + 6300 =Rs.10350

Hence the answer is Rs.10350

Question 4

Devi buys some material worth Rs.X.She gets a deduction of Rs.650 on it. After getting deduction she pays tax of Rs.169. Then find X the value if she pays Rs.6000 for that material.

a)Rs.6481 b)Rs.5689 c)RS.6819 d)Rs.5181

Answer :Rs.6481

Solution :

Let the total amount be Rs.X

After getting deduction the amount will be X – 650

And after paying the tax Rs.169,

Rs.6000 = X – 650 + 169 = X – 481.

X =6481

Hence she buys material worth Rs.6481

Question 1

The percentage of numbers from 11 to 75 which are divided by 5 or 7 is:

a)31 b)35 c)36 d)41

Answer : a)31

Solution:

Clearly, the numbers which divided by 5 or 7 from 11 to 75 are 14, 15, 20, 21, 25, 28, 30, 35, 40, 42, 45, 49, 50, 55, 56, 60, 63, 65, 70, 75.

The number of such numbers = 20

Total numbers from 11 to 75 = 65

Then the required percentage = (20/65) x 100 = 30.76% = 31 %

Hence the answer is 31%

Question 2

If P is X% of Y and Q is Y% of X then the relationship between P and Q is :

a)P < Q b)P > Q c)cannot be determined d)none of these

Answer :d) none of these

Solution:

P = X% of Y = (X/100)xY

= (XY/100)

= (Y/100)xX

= Y% of X = Q

i.e., P = Q

Thus the relationship between P and Q is P = Q.

Question 3

If A has weight 9kg more than B and his weight is 56% of the sum of their weights then their weights are :

a)31,40 b)33,42 c)36,45 d)41,50

Answer :b) 33,42

Solution:

Let B’s weight be X then A’s weight is X+9.

And,

X+9 = 56% of X+X+9

= 56/100 (2X+9)

25(X+9)= 14(2X+9)

3X = 99 => X=33 and X+9 = 42

So, their weights are 33kg,42kg

Question4

What will be the Y% of 25 when 24% of X = Y

a)16% of X b)26% of X c)36% of X d)6% of X

Answer :d) 6% of X

Solution:

Given that,

24% of X = Y i.e, 24X/100 = Y

and, Y% of 25 = 25Y/100

= (25Y/100) x (24X/100)

= (1/4) x (24X/100)

= (6/100)x X

= 6% of X

Hence the answer is 6% of X.

Question 5

What will come in the place of ? in the following question?

(88.128 / ? ) / {(2.4 x 0.3)/(0.2 x 1.5)} = 18

a)1.04 b)2.04 c)3.04 d)4.04

Answer : b)2.04

Solution:

Given that (88.128 / ? ) / {(2.4 x 0.3)/(0.2 x 1.5)} = 18

Let us take ? as X.

Then, (88.128/X)/{(0.72) / (0.3)} = 18

(88.128/X)/2.4 = 18

88.128/X = 18 x 2.4

88.128/X = 43.2

43.2 x X = 88.128

X = 88.128 / 43.2

X = 2.04

Hence the answer will be 2.04

Question 6

One-fifth of sqrt(X) x 3 = 37.2 – sqrt(12.96)

a)2601 b)2916 c)3136 d)2704

Answer : c)3136

Solution:

Given that one-fifth of sqrt(X) x 3 = 37.2 – sqrt(12.96)

i.e., 1/5 x sqrt(X) x 3 = 37.2 – 3.6

3/5 x sqrt(X) = 33. 6

sqrt(X) = 33.6 x 5/3

sqrt(X) = 11.2 x 5 = 56

X = 562 = 3136.

Hence the answer is 3136.

Question 7

What will come in the place of X in the following question:

3.5 – { 2.5 – [6.5 – (1.4/X)]} x 8.24 /(0.2)2 = 813.08

a)20 b)25 c)40 d)5.5

Answer : a)20

Solution:

3.5-{2.5-(6.5-(1.4/X))}x(8.24/0.04) = 813.08

3.5-{2.5-{(6.5X-1.4)/X)}x(824/4) = 813.08

3.5-{(2.5X-6.5X+1.4)/X} x 206 = 813.08

3.5-{(-4X+1.4)/X} x 206 = 813.08

3.5-{(-824X-288.4)/X} = 813.08

(3.5X+824X-288.4)/X = 813.08

827.5X-288.4 / X = 813.08

827.5X-288.4 = 813.08X

827.5X-813.08X = 288.4

14.42X = 288.4

X = 288.4 / 14.42

X = 20