Reasoning Quiz

Reasoning Quiz

Directions (1-5): Study the following information carefully to answer these questions.

Seven friends F, H, J, K, L, M and P are working in different cities viz. Chennai, Mumbai, Bangaluru, Jaipur, Indore, Ahmedabad and Hyderabad but not necessarily in the same order.

 Each one of them has a different profession viz. CA, Doctor, Professor, Engineer Banker, Lawyer and Architect not necessarily in the same order.

 H is a lawyer and he works in Jaipur. K is a Doctor and he does not work in Chennai. The CA works in Mumbai. M works in Indore. 

Architect works in Hyderabad. L is a Banker and he works in Bengaluru. F is an Engineer. J does not work in Mumbai.

1.       Who is an architect?

(1) J                                (2) P

(3) K                              (4) L

(5) None of these

2.       Which of the following combinations of person, profession and city is definitely correct?

(1) F – Engineer – Bengaluru

(2) K – Architect – Hyderabad

(3) L – banker – Mumbai

(4) M – Professor – Jaipur

(5) None of these

3.       Who is working in Mumbai?

(1) J                                (2) K

(3) M                             (4) P

(5) None of these

4.       Engineer works in which city?

(1) Ahmedabad                        (2) Chennai

(3) Mumbai                                (4) Bengaluru

(5) None of these

5.       Who is professor?

(1) P                              (2) J

(3) M                             (4) M or J

(5) None of these

6.       Among M, N, 0, P, & Q, (i) N is taller than only P and (ii) 0 is the 2nd tallest person. To decide the tallest among them, 

the data in which of the following statements is (are) sufficient?

(A) M is taller than N.

(B) M, though taller than N, is not as tall as Q.

(C) Q is taller than N.

(D) O is taller than both. M and N

(1) Only (D)

(2) Either (B) or (D)

(3) Only (B) or only (A) and (C) together

(4) (B) and (D) together

(5) None of the above

7.       In the case of how many letters in the word CLIENT, their serial order in the word will not differ than their serial-

           order in the arrangement where the letters of the word are arranged alphabetically?

(1) Four      

(2) One

(3) Three

(4) Two

(5) None of these

8.       In a certain code, 'MUKESH' is written as 'PENOVK’ and ‘STOCK’ as ‘VWAFN’. How is 'KNIGHT' written in that code

(1) NQUJKW

(2) NQAJKW

(3) HKUDEQ

(4) HKADEQ

(5) None of these

9.       How many such pairs of letters are these in the word 'ORTHOPEDIC' each of which has as many letters between them in the word as in the English alphabet?

(1)One

(2)Three

(3)Four

(4)Two

(5) None of these

10.   In a certain code, ‘black' means violet', 'violet means 'green', 'green' means 'white', 'white' means 'yellow', 

        and 'yellow' means 'sky blue', what is the colour of coal?

(1) Black

(2) Green

(3) Violet

(4) White

(5) None of these

Solutions (1-5):

NAME TOWN PROFESSION
F Chennai Engineer
H Jaipur Lawyer
J Hyderabad Architect
K Ahmedabad Doctor
L Bengaluru Banker
M Indore Professor
P Mumbai CA

1. (1)

2. (5)

3. (4)

4. (2)

5. (3)

6. (2)

7. (1);

C L I E N T
C E I L N T

8. (1)

9. (5): Such pairs are DE, OP, EH, OR and DH.

10. (5):

Reasoning Quiz

Reasoning Quiz

Directions (1-5): Each of the questions below consists of a question and two statements numbered I and II given below it.

 You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statement and.

Give answer (1) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

Give answer (2) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

Give answer (3) if the data in Statement I alone or in Statement II alone are sufficient to answer the question.

Give answer (4) if the data in both the Statement I and II are not sufficient to answer the question.

Give answer (5) if the data in both the Statements I and II together are necessary to answer the question.

1. What does 'Pa' mean in the code language?

I. 'Pe Bo Pa' means 'Look at me' and 'Bo Se Pe Ki means 'don't look at him' in that code language.

II. 'Ka Ta Ne Pa' means 'take me and go' and 'Li We Si Pa' means 'either me or you' in that code language

2. How is Seema related to Mangesh?

I. Shalini, the cousin of Mangesh, is the niece of Seema. 

II. Sulekha, Seema's sister, is the wife of Omkar, Mangesh's father.

3. What is Shekhar's rank in the class of 40?

I. Samir, who is 9th from the top in the class is above shailendra by 12 ranks who is below shekhar by 5 ranks.

II. Nilesh, who is between Shekhar and Sudhanshu, is 15th from the bottom.

4. P, Q, R, S and T hold different ranks. Who among them ranks the lowest? 

I. S is two ranks below R, who is not the highest in the rank.

II. P is higher in rank than S but below than Q and T in rank.

5. Who among A, B, C, D and E runs the fastest?

I. B runs faster than E but is not the fastest.

II. C, though does not run as fast as A and B, runs faster than D and E

Directions (6-10): Study the information given below and answer these questions.

(i) P, Q, R, S, T, U and V are sitting along a circle facing the center.

(ii) P is between V and S.

(iii) R, who is 2nd to the right of S, is between Q and U.

(iv) Q is not the neighbour of T.

6. Which of the following is correct statement?

(1) V is between P and S.

(2) S is 2nd to the left of V.

(3) R is third to the left of P.

(4) P is to the immediate left of S.

(5) None of the above.

7. What is the position of T?

(1) Between R and V.

(2) To the immediate left of V.

(3) 2nd to the left of R.

(4) 2nd to the right of P.

(5) None of the above.

8. Who is between R and U?

(1) No one

(2) S

(3) V

(4) Q

(5) None of these

9. Which of the following is wrong statement?

(1) R is to the immediate right of U

(2) Q is to the immediate left of R

(3) T is third to the right of Q

(4) U is 2nd to the left of T

(5) None of the above

10. Which of the following pairs has 2nd member sitting to the immediate right of the first member?

(1) QS 

(2) PV

(3) RU

(4) VT  

(5) None of these

1. (3):
From either of the two statements, ‘Pa’ means ‘me’
2. (2):
From statement II, we can say that Seema is the grandmother of Mangesh.
3. (1):
From statement I,
Samir’s rank is 9th
Shailendra’s rank is 21st.
So, Shekhar’s rank is 16th.
4. (5):
On combining both the statements we can say that S’s rank is the lowest.
5. (4):
Answer cannot be found even after combining statement I and II.

Solutions (6-10):

6. (4)
7. (2)
8. (1)
9. (4)
10. (3)

Reasoning Quiz

Reasoning Quiz - II

DIRECTIONS (1-5): In each of the following questions two/three statements are given and these statements are followed by two conclusions numbered (1) and (2). 

You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. 

Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Give answer:

(1) If only (1) conclusion follows               

(2) If only (2) conclusion follows

(3) If either (1) or (2) follows

(4) If neither (1) nor (2) follows and

(5) If both (1) and (2) follow

1.       Statements: All Pencil are black. All bee are black.

Some Grey are Pencil.

Conclusions: I. At least some grey are black.

II. All bee being grey is a possibility.

For (1-1) 

Statements: All men are males.

No male is a female. All females are beautiful.

2.       Conclusions: I. No beautiful is a men.

II. All males being beautiful is a possibility.

3.       Conclusions: I. No men is a female

II. All men being beautiful is a possibility.

For (14-15):

Statements: Some tab are notebook.

Some notebook are laptop. All laptop are computer.

4.       Conclusions: I. No tab is a computer.

II. At least some computer are tab.

5.        Conclusions: I. Some laptop are tab

II. No computer being tab is a possibility.

Directions (16-20): In each question below, a question is followed by information given in statements. 

You have to decide the information given in which of the following statement is necessary to answer the question.

6.       How many days did Rihana take to complete his assignment work?

I.     Krish correctly remembers that Rihana took more than two days but less than seven days to complete her assignment.

II.    Pavitra correctly remembers that Rihana took more than 5 days but less than 10 days to complete her assignment.

III. Arayan correctly remembers that Rihana completed her assignment within 12 days.

(1)   All I, II & III together            

(2)   Only II                                        

(3)   Only I and II                             

(4)   Only I and III                           

(5)   None of these

7.       Ayana is in which direction with respect to Ritu?

I. Manav is to the south of Ritu and Ayana is to the east of Pihu who is to the north of Manav.

II. Pihu is to the south of Ritu.

III. Pihu is to the west of Tilak.

(1)      Only I

(2)      Only II & III

(3)      All               

(4)      Only I & II

(5)      None of these

8.       How many sisters Ritesh have? Ritesh is a boy.

I. Kavita, the mother of Ritesh, is the only child of Monika. Monika has only two grand children.

II.  Sarvesh, the son-in-law of Monika, has a son and a daughter.

(1)      Only I         

(2)      Only II       

(3)      Both I & II

(4)      Either I or II            

(5)      Neither I nor II

9.       Among A, B, C, D and E sitting in a row, facing east, who its exactly in the middle of the line?

I. D sits third to the left of B. D is an immediate neighbour of both A and E.

II. Two people sit between E and C. C does not sit at either of the extreme ends. A sits second to the right of E.

(1)      Only I         

(2)      Only II                       

(3)      Both I and II            

(4)      Either I or II            

(5)      Neither I nor II

10.   How is 'Sweet' coded in a code language?

I. 'I love sweet chocolate' is written as 'qa la ti mi' and 'she is sweet girl is written as 'ja ra mi ka'.

II. 'Bright and Sweet' is written as 'zi mi na' and 'who is sweet' is written as 'mi yo di'.

(1)   Only I           

(2)   Only II      

(3)   Either I or II alone  

(4)   Neither I nor II        

(5)   Both I & II



Solutions (1-5):
1. (5)

For (2-3):

2. (2)
3. (5)

For (4-5):

4. (3)
5. (2)

Solutions (6-10):
6. (3):
(i) 7 days < 2 days (ii) 10 days < 5 days
from (i) & (ii) we can find the days he took.

7. (4):
only (i) & (ii) are sufficient to answer.

8. (3):
only (i) & (ii)

9. (2)

10. (3)

Reasoning Quiz

Reasoning Quiz

Directions (1-5): These questions are based on the following information.

Six friends met for dinner, and their names are Shruti, Yukt, Kanika, Paras, Ayush, and Rekha. They are working with 6 different designations. 

These designations are IT, Sales Agent, Specialist Officer, Analyst, Engineer, and Teacher. They took dinner at a round table. Their arrangement is in following manner-

1. Yukt is in front of Sales Agent. Teacher is second right of Ayush.

2. Kanika is opposite to Shruti, who is immediate left of Specialist Officer.

3. Paras is not a Specialist Officer, but opposite of Analyst.

4. Ayush is immediately right of Engineer and Sales Agent is immediately left of Shruti.

5. IT is between Engineer and Sales Agent.


1. Who is in front of Teacher? 
(a) Shruti
(b) Yukt
(c) Rekha
(d) Kanika
(5) None of these

2. Who is the second right of Analyst?
(a) Specialist Officer
(b) Sales Agent
(c) IT
(d) Engineer
(5) None of these

3. Who is the Specialist Officer?
(a) Rekha
(b) Ayush
(c) Paras
(d) Shruti
(5) None of these

4. What is the sitting position of Yukt?
(a) 2nd left of Shruti
(b) 3rd right of Ayush
(c) diagonally opposite of IT
(d) 2nd right of Shruti
(5) None of these

5. Who among the following is the Engineer?
(1) Rekha
(2) Kanika
(3) Shruti
(4) Paras
(5) Cannot be determined

Directions (6-8): Study the following arrangement of numbers, letters and symbols carefully and answer the questions given below:

P   A   5   $   7   6   S   T   X   !   Y   2   #   3   H   K   *   @   G   4   M   C   1   =   ? 

6. Which of these should come in place of question mark in the following question?

7$6          XT!     #23     @? G       CM1 

(1) K
(2) *
(3) M
(4) #
(5) none of these

7. How many such symbols are there in the series which are immediately followed by a number and preceded by an alphabet?
(1) none
(2) one
(3) two
(4) three
(5) four

8. How many letter and symbol combination are there?
(1) None
(2) one
(3) Two
(4) three
(5) four

9. In a certain code MORNING is written as SPNMFMH. How is SOULFUL written in that code? 
(1) VPTKKTE
(2) VPTKETK
(3) TPVKKTE
(4) TNRKMVG
(5) None of these

10. The positions of how many digits in the number 59164823 will remain unchanged after the digits are rearranged in descending order within the number? 
(1) None 
(2) One
(3) Two
(4) Three
(5) More than three



Solutions (1-5):

1. (4)
2. (3)
3. (1)
4. (4)
5. (2)
Solutions (6-8):
6. (2)
7. (1)
8. (3)
9. (1)

10. (3)
5  9  1  6  4  8  2  3
9  8  6  5  4  3  2  1
So position of only 4 and 2 will remain unchanged.

Read more: http://www.bankersadda.com/2015/02/reasoning-quiz_4.html#ixzz4nU8zunxn

Reasoning: Quiz

Reasoning: Quiz

In each of the following questions, three statements are given followed by four conclusions numbered I, II, III and IV. 

You have to take the given statements to be true even if they seem to be at variance with commonly known facts --

and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

1. Statements: Some pearls are stones. Some stones are diamonds. No diamond is a gem.
Conclusions:
 I  Some gems are pearls.
II Some gems are diamonds.
III  No gem is a diamond.
IV  No gem is a pearl.


A. Only I and II follow
B. Only III and IV follow
C. Only either I or IV and either II or III follow
D. Only III and either I or IV follow
E. None of these

2. Statements: All rods are bricks. Some bricks are ropes. All ropes are doors.
  Conclusions:
 I  Some rods are doors.
II Some doors are bricks.
III  Some rods are not doors.
IV  All doors are ropes.

A. Only I and II follow
B. Only I, II and III follow
C. Only either I or III, and II follow
D. Only either I or III, and IV follow
E. None of these

3. Statements: All myths are fictions. No fiction is novel. All novels are stories.
Conclusions:
I  No myth is novel.
II Some fictions are novels.
III  Some fictions are myths.
IV Some myths are novels.

A. Only either I or II and both III and IV follow
B. Only either I or IV and II follow
C. Only either I or IV and both II and III follow
D. All follow
E. None of these

4. Statements: No paper is pen. No pen is pencil. All erasers are papers.
Conclusions:
I  Some papers are erasers.
II No pencil is eraser.
III  No pen is eraser.
IV All papers are erasers.

A. Only I and II follow
B. Only II and III follow
C. Only I, II and III follow
D. All follow
E. None of these
. 
5. Statements: No man is sky. No sky is road. Some men are roads.
Conclusions:
I No road is man.
II No road is sky.
III  Some skies are men.
IV  All roads are men.
A. None follows
B. Only I follows
C. Only II and III follow
D. Only I and III follow
E. None of these

In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, 

then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.
Give answer:
(A) If only conclusion I follows
(B) If only conclusion II follows
(C) If either I or II follows
(D) If neither I nor II follows and
(E) If both I and II follow.

6.  Statements: In Japan, the incidence of stomach cancer is very high, while that of bowel cancer is very low. 

But Japanese immigrate to Hawaii, this is reversed - the rate of bowel cancer increases but the rate of stomach cancer is reduced in the next generation. 

All this is related to nutrition - the diets of Japanese in Hawaii are different than those in Japan.
Conclusions:
The same diet as in Hawaii should be propagated in Japan also.
Bowel cancer is less severe than stomach cancer.
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

7. Statements: The Government run company had asked its employees to declare their income and assets but it has been -

strongly resisted by employees union and no employee is going to declare his income.
Conclusions:
The employees of this company do not seem to have any additional undisclosed income besides their salary.
The employees union wants all senior officers to declare their income first.
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

8.  Statements: Monitoring has become an integral part in the planning of social development programmes. 

It is recommended that Management Information System be developed for all programmes. This is likely to give a feedback on the performance of the functionaries -

and the efficacy with which services are being delivered.
Conclusions:
All the social development programmes should be evaluated.
There is a need to monitor the performance of workers.
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

9. Statements: The T.V. programmes, telecast specially for women are packed with a variety of recipes and household hints. 

A major portion of magazines for women also contains the items mentioned above.
Conclusions:
Women are not interested in other things.
An average woman's primary interest lies in home and specially in the kitchen.
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

 
10. Statements: The distance of 900 km by road between Bombay and Jafra will be reduced to 280 km by sea. 

This will lead to a saving of Rs. 7.92 crores per annum on fuel.
Conclusions:
Transportation by sea is cheaper than that by road.
Fuel must be saved to the greatest extent
A. Only conclusion I follows
B. Only conclusion II follows
C. Either I or II follows
D. Neither I nor II follows
E. Both I and II follow

Answer 

1. D
2. C
3. E
4. E
5. E
6. D
7. D
8. E
9. B
10. B

QUANT QUIZ ON L.C.M and H.C.F

QUANT QUIZ ON L.C.M and H.C.F

1. About the number of pairs which have 16 as their HCF and 136 as their LCM, the conclusion can be

a. only one such pair exists

b. only two such pairs exist

c. many three pairs exist

d. many such pairs exist

e. no such pair exists

2. The HCF of two numbers is 12 and their difference is also 12. The numbers are

a. 66, 78

b. 94, 106

c. 70, 82

d. 84, 96

e. 50. 62

3. The HCF of two numbers is 16 and their LCM is 160.  If one of the numbers is 32, 

then the other number is 

a. 48

b. 80

c. 96

d. 112

e. 108

4. HCF of three numbers is 12. If they are in the ratio 1:2:3, then the numbers are

a. 12,24,36

b. 10,20,30

c. 5,10,15

d. 4,8,12

e. 15, 30, 45

5. Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds respectively.  

In 30 minutes, how many times do they toll together?

a. 4

b. 10

c. 15

d. 16

e. 18

6. The largest natural number which exactly divides the product of any four consecutive natural numbers is :

a. 6

b. 12

c. 24

d. 120

e. 150

7. The traffic lights at three different road crossing change after every 48 sec; 72 sec; and 108 sec., 

respectively.  If they all change simultaneously at 8:20:00 hrs, then they will again change simultaneously at

a. 8:27:12 Hrs

b. 8:27:24 Hrs 

c. 8:27:36 Hrs

d. 8:27:48 Hrs

e. 8: 27:53 Hrs

8. The greatest number by which if 1657 and 2037 are divided the remainders will be 6 and 5 respectively is

a. 127

b. 235

c. 260

d. 305

e. 310

9.The total number of prime factors of the product (8)20×(15)24×(7)15 is

a. 59

b. 98

c. 123

d. 4

e. 14

10. The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divisible by 3, then the first number is

a. 264

b. 132

c. Both a and b

d. 33

e. 36

11. What least number must be subtracted from 1294 so that the remainder when divided 9, 11, 13 will leave in each case the same remainder 6 ?

a. 0

b. 1

c. 2

d. 3

e. 4

12. The least number which is divisible by 12, 15, 20 and is a perfect square, is

a. 400

b. 900

c. 1600

d. 3600

e. 4200

13. The least perfect square number which is divisible by 3,4,5,6 and 8 is

a. 900

b. 1200

c. 2500

d. 3600

e. 1500

14. Three piece of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length. What is the greatest possible length of each plank?

a. 7 m

b. 14 m

c. 42 m

d. 63 m

e. 78

15. The greatest number which can divide 1354, 1866, 2762 leaving the same remainder 10 in each case is :

a. 64

b. 124

c. 156

d. 260

e. 280

Answers
1.e
HCF is always a factor of LCM. ie., HCF always divides LCM perfectly.

2.d
The difference of required numbers must be 12 and every number must be divisible by 12. Therefore, they are 84, 96.

3. b
The number = HCF×LCMGiven number=16×16032=80

4.A
Let the numbers be a, 2a and 3a.
Then, their HCF = a  so a=12
The numbers are 12,24,36

5.d
LCM of 2,4,6, 8,10 and 12 is 120. So, the bells will toll simultaneously after 120 seconds.
i.e.2 minutes. In 30 minutes, they (302+1) toll times ie.16 times.

6.  C
The required number can be find out by following way.
1×2×3×4=24

7.(A)
The change of interval=(LCM of 48,72,108)sec.=432. So, for every 432 seconds i.e.7 min. 12 sec. the lights will change.  So add 7 min.12 sec.to 8:20:00 Hrs.i.e.8:27:12 Hrs.

8. A
The needed number is HCF of (1657-6) and (2037-5)=HCF of 1651 & 2032=127.

9.D
The prime numbers are 2,3,5,17 in the expression.  The expression can be written as (23)20×(3×5)24×(17)15⇒260×324×524×1715
So number of prime factors are 4. i.e., 2, 3, 5, 17

10.C
Let the numbers are ah, bh respectively.  Here h is HCF of two numbers.  (obviously a, b are coprimes i.e., HCF (a, b) = 1)
Given that HCF = h = 44 and LCM = abh = 264
Dividing LCM by HCF we get ab = 6.
ab can be written as 1 x 6, 2 x 3, 3 x 2, 6 x 1.
But given that the first number is divisible by 3. So only two options possible for A. 3 x 44, 6 x 44. So option C is correct

11. B
LCM of 9,11,13 is 1287. Dividing 1294 with 1287, the remainder will be 7, 

to get remainder 6, 1 is to be deducted from 1294 so that 1293 when divided by 9,11,13 leaves 6 as remainder.

12. b
 LCM = 5 × 3 × 22 = 60
To make this number as a perfect square, we have to multiply this number by 5 × 3
The number is 60 × 15= 900
   
13.D
LCM = 2×2×2×3×5=23×3×5
But the least perfect square is = 23×3×5×(2×3×5)=24×32×52=3600  as the perfect squares have their powers even.

14. A
The maximum possible length = (HCF of 42, 49, 63) = 7

15. A

The needed number = HCF of 1344, 1856 and 2752=64

Quant Quiz

Quant Quiz

Directions (1-5): What should come in place of question mark (?) in the following number series?

1. 1200 480 192 76.8     30.72   12.288   ?
(1) 4.9152
(2) 5.8192
(3) 6.7112
(4) 7.6132
(5) 8.5172


2. 963 927 855 747 603 423 ?
(1) 209
(2) 208
(3) 207
(4) 206
(5) 205

3. 841 961 1089 1225 1369 1521 ?
(1) 1581
(2) 1681
(3) 1781
(4) 1881
(5) 1981

4. 18 20 44 138 560 2810 ?
(1) 16818
(2) 16836
(3) 16890
(4) 16872
(5) 16890

5. 6   26 134 666 3334 16666 ?
(1) 84334
(2) 83334
(3) 83434
(4) 83443
(5) None of these

6. Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. 

Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5?
(1) 7 : 9
(2) 9 : 8
(3) 9 : 7
(4) 5 : 6
(5) None of these

7. In what ratio must wheat at Rs.3.20 per kg be mixed with wheat at Rs.2.90 per kg so that the mixture be worth Rs.3.08 per kg?
(1) 3 : 4
(2) 3 : 3
(3) 3 : 2 
(4) 4 : 5
(5) None of these

8. There are two sections A and B of a class, consisting of 36 and 44 students’ 

respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class.
(1) 38 kg
(2) 38.30 kg
(3) 37.25 kg
(4) 36 kg
(5) 37 kg.

9. The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly:
(1) 30
(2) 28.68
(3) 29.68
(4) 30.68
(5) 31.68

10. If each of the three non-zero numbers  a ,  b , and  c  is divisible by 3, then  abc  must be divisible by which one of the following the numbers?
(1) 8
(2) 81
(3) 27
(4) 122
(5) None of these

1. (1)
1200 ÷ 2.5 = 480
480 ÷ 2.5 = 192
192 ÷ 2.5 = 76.8
76.8 ÷ 2.5 = 30.72
30.72 ÷ 2.5 = 12.288
∴ ? = 12.288 ÷ 2.5 = 4.9152

2. (3)
963 – 1  x 36 = 963 – 36 = 927
927 - 2  x 36 = 927 – 72 = 855
855 – 3  x  36 = 855 – 108 = 747
747 – 4  x  36 = 747 – 144 = 603
603 – 5  x  36 = 603 – 180 = 423
∴ ? = 423 – 6  x  36 = 423 – 216
= 207

3. (2)
29 x  29 = 841
31 x 31 = 961
33 x 33 = 1089
35 x 35 = 1225
37 x 37 = 1369
39 x 39 = 1521
∴ ? = 41 x 41 = 1681

4. (4)
18 x 1 + 2 = 18 + 2 = 20
20 x 2 + 4 = 40 + 4 = 44
44 x 3 + 6 = 132 + 6 = 138
138 x 4 + 8 = 552 + 8 = 560
560 x 5 + 10 = 2800 + 10 = 2810
∴ ? = 2810 x 6 + 12 = 16860 + 12
= 16872

5. (2) : 6 x 5 – 4 = 26
26 x 5 + 4 = 134
134 x 5 – 4 = 666
666 x 5 + 4 = 3334
3334 x 5 – 4 = 16666
16666 x 5 + 4 = 83334

6. (1) : Spirit in 1 litre mix of A = 5/7 litre.
Spirit in 1 litre mix of B = 7/13 litre.
Spirit in 1 litre mix of C = 8/13 litre.
By rule of alligation we have required ratio X:Y

  X         :       Y

5/7              7/13
       \           /
       (8/13)
     /               \
(1/13)     :     (9/91)
Therefore required ratio = 1/13 : 9/91 = 7:9

7. (3) : C.P of a unit quantity of 1st kind  = Rs. 3.20
C.P of a unit quantity of 2nd kind  = Rs. 2.90
Mean price = Rs.3.08
C.P of unit quantity         C.P of unit quantity
of 1st kind                         of 2nd kind
    (Rs. 3.20)                         (Rs. 2.90)

                     \                       /
                        Mean Price
                        (Rs.3.08)
                    /                        \

 (3.08 – 2.90)          :           (3.20 – 3.08)
       0.18                                      0.12

Required ratio = 0.18 : 0.12 = 3 : 2

8.  (3 ) : Total weight of (36+44) Students = (36x40+44x35)kg = 2980kg
Therefore average weight of the whole class = (2980/80) kg
Therefore average weight = 37.25kg

9. (3) : Total sum of 48 numbers = (50 × 30) – (35 +40)
= 1500 – 75= 1425
Average = 1425/48
= 29.68

10. (3) : Since each one of the three numbers a, b, and c is divisible by 3,

 the numbers can be represented as 3p,3q, and 3r, respectively, where p, q, and r are integers.
The product of the three numbers is 3p×3q×3r=27(pqr).
Since p, q, and r are integers, pqr is an integer and therefore abc is divisible by 27.

Quant Quiz

Quant Quiz

Directions (1-5): What should come in place of question mark (?) in the following questions? 

1. 74 + 12 x 0.75 – 6 =?

(1) 72

(2) 67

(3) 62

(4) 77

(5) None of these 

2. 2432 ÷ ? = √23104

(1) 12

(2) 14

(3) 18

(4) 16

(5) None of these 

3. 515.15 – 15.51 – 1.51 – 5.11 – 1.11 =?

(1) 491.91

(2) 499.19

(3) 499.19

(4) 411.19

(5) None of these 

4. (?)^2 + (123)^2 = (246)^2 – (99)^2 - 2462

(1) 184

(2) 186

(3) 182

(4) 180

(5) None of these

5. 36865 + 12473 + 21045 – 44102 = ?

(1) 114485

(2) 28081

(3) 26281

(4) 114845

(5) None of these

Directions (6-10): what approximate value should come in place of question mark (?) 

in the following questions? (You are not expected to calculate the exact value.)

6. ( 560 ÷32 ) x ( 720 ÷ 48) = ? 

(1) 263

(2) 260

(3) 270

(4) 265

(5) None of these 

7. (4576 + 3286 + 5639) ÷ (712 + 415 + 212) = ?

(1) 18

(2) 22

(3) 34

(4) 10

(5) 46

8. 675.456 + 12.492 x 55.671 = ?

(1) 971

(2) 1071

(3) 1171

(4) 1271

(5) 1371

9. 4374562 x 64 = ? x 7777

(1) 360

(2) 3600

(3) 36000

(4) 360000

(5) 3600000

10. (872% of 459) ÷ 543 = ?

(1) 17

(2) 11

(3) 21

(4) 27

(5) 31

Quant Quiz

Quant Quiz

Directions (1-5): What will come in place of the question-mark (?) in the following questions?

1. 6709 – 1894 ÷ 156 = ? × 7
(1) 956.69
(2) 957.59
(3) 959.89
(4) 989.29
(5) None of these


2. (0.343)^2 ÷ (0.49)^2 × (0.7)^5 = (0.7)^(?-2)
(1) 10
(2) 8
(3) 5
(4) 9
(5) None of these

3. 9^7 × 3^6 ÷ 9^(2.4) = 9^?
(1) 8.6
(2) 9.6
(3) 10.6
(4) 6.6
(5) None of these

4. 160% of 2500 + ? = 120% of 400
(1) 800
(2) 400
(3) 1200
(4) 1600
(5) None of these

5. Ö(9^3 * 7 + 24^2 – 54) = ?  
(1) 56
(2) 63
(3) 75
(4) 94
(5) None of these

Direction (6-10): What will come in place of the question mark (?) in each of the following number series?

6. 3 11 35 107 ?
(1) 242
(2) 256
(3) 296
(4) 310
(5) 323

7. 3 10 ? 172      885
(1) 25
(2) 29
(3) 30
(4) 39
(5) None of these

8. 8 ? 29 57 113
(1) 9
(2) 11
(3) 13
(4) 15
(5) None of these

9. 1 27 125 343 ?
(1) 625
(2) 729
(3) 416
(4) 256
(5) None of these

10. 5 3 6 ? 64.75
(1) 15
(2) 15.5
(3) 17.5
(4) 17.25
(5) None of these