Reasoning Quiz

Reasoning Quiz

Directions (1-2): These questions are based on the following information.

Six friends A, B, C, D, E and F are sitting in a straight line. B sits third to the left of E, who sits at the end of the line.

 C is not an immediate neighbour of F and E. One person sits between B and D. F is sitting at the left end of the line.

1.         What is the A’s position with respect of E?

(1)  fourth right           

(2)  third right            

(3)  fourth left       

(4)  fifth left 

(5)  None of these

2.         If all the six friends are made to sit alphabetically from right to left, position of how many of them will remain unchanged?

(1)  None                     

(2)  One                      

(3)  Two                 

(4)  Three      

(5)  None of these

Direction (3-8): Study the given information and answer the following questions:

Eight friends M, N, O, P, Q, R, S and T are sitting around circular table and belong to eight different states Uttar Pradesh, Bihar, Andhra Pradesh, Chandigarh, Punjab,-

 Haryana, Kerala and Maharashtra. They read three Newspapers in Hindi, English and Punjabi. At least two persons read one news paper not necessarily in the same order.

Only P and Q read Hindi Newspaper. P is third to right of Q. M is from Kerala reads English Newspaper and is sitting immediate right of Q. 

R is from Chandigarh and reads Punjabi Newspaper. T reads the same Newspaper as S reads who is third to left of R and fourth to right of N. 

O is sitting exact opposite of P who belongs to UP. Persons who belong to Maharashtra and Andhra Pradesh read English Newspaper. 

S is from Haryana while N is from Andhra Pradesh reads English Newspaper. T is from Punjab.

3.       Who does not read English Newspaper?

(1) O                                                            (2) N

(3) M                                           (4) T

(5) None of these

4.       From which state Q belongs?

(1) UP                                         (2) Bihar

(3) Maharashtra                     (4) Andhra Pradesh

(5) None of these

5.       Which of the following is not correct combination?

(1) T-Punjab-Punjabi           (2) Q-Kerala-Hindi

(3) O-Maharashtra-English               

(4) P-UP-Hindi

(5) All are correct combinations

6.       Which two persons are sitting adjacently who read Punjabi Newspapers?

(1) RT                                         (2) RN

(3) RS                                          (4) TS

(5) None of these         

For Qs (7-8): on the basis of above arrangement four of the following forms a group which one does not related to the group?

7.       (1) OQ                                           (2) RN                  

(3) PT                                          (4) MS

(5) MO

8.        (1) PQ                                          (2) RS                   

(3)TR                                          (4) OM

(5)SN

Direction (9-10): In these questions, relationship between different elements is shown in the statements. 

These statements are followed by two conclusions. You have to find out which of the conclusion logically follows from the given statements.

9.         Statements:                           X£ Y,      Y ³ W,    W < P,      P £ M

           Conclusions:  I. M > W     II.  P > X     III. X £ M

           (1) only I follows                 (2) only II follows

           (3) only III follows             (4) only I and III follows

           (5) None of these

10.      Statements:                           P ³ Q,      N £ S,     Q > N        S < T

           Conclusions:  I. T > Q,      II. P ³ S     III. Q > T    IV. P > N

           (1) only I and II follows    (2) only I, II and III follows

           (3) only III and IV follow (4) only II, III and IV follows

           (5) None of these



Solutions (1-2)

1. 3
2. 3

Solutions (3-8)

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

Solutions (9-10)

Reasoning Quiz

Reasoning Quiz

Directions (1-5): In each of the questions below are given four statements 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. 

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

1. Statements: 
All pencils are pens.
Some pens are syrups.
All syrups are needles.
Some needles are syringes.


Conclusions:
I. Some needles are pens.
II. Some pens are pencils.
III.  Some syringes are needles.
IV. Some needles are syrups.

(1) None follows
(2) Only I and II follow
(3) Only I, II and III follow
(4) Only II, III and IV follow
(5) All follow

2. Statements: 
All dusters are bins.
All bins are sepals.
No sepal is a root.
All roots are flowers.

Conclusions: 
I. No flower is a bin.
II. No duster is a root.
III. All dusters are sepals.
IV. All flowers are roots.

(1) Only I and II follow
(2) Only III follow
(3) Only I, II and III follow
(4) All follow
(5) None of these

3. Statements: 
All bulbs are lamps.
All lamps are stands.
Some stands are pens.
Some pens are benches.

Conclusions: 
I. Some benches are bulbs.
II. Some lamps are benches.
III. Some pens are bulbs.
IV. Some pens are lamps.

(1) None follows
(2) Only I and II follow
(3) Only II and IV follow
(4) Only III and IV follow
(5) Only I, II and IV follow

4. Statements: 
Some rulers are erasers.
All erasers are metals.
Some metals are papers.
All papers are bands.

Conclusions: 
I. Some bands are rulers.
II. Some erasers are bands.
III. Some papers are rulers.
IV. Some metals are rulers.

(1) Only I and III follow
(2) Only I and II follow
(3) Only II and III follow
(4) Only II and IV follow
(5) None of these

5. Statements: 
Some houses are beads.
Some beads are cycles.
Some cycles are tubes.
Some tubes are rains.

Conclusions: 
I. Some tubes are beads.
II. Some cycles are houses.
III. No bead is tube.
IV. Some rains are cycles.

(1) Only I follows
(2) Only either I or III follows
(3) Only I and II follow
(4) Only either I or III and IV follow
(5) None of these

Directions (6-10): 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 sits 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





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



2. (5)


3. (1)



4. (5)


5. (2)


Solutions (6-10):

6. (3);
I. 7 days < 2 days
II. 10 days < 5 days
from I and II, we can say that Rihana took 6 days.

7. (4);

only I and II are sufficient to answer.

8. (3);


Only I and II

9. (2);
From I: E/A  D  A/E  __  B
From II: E __ A C __
10.  (3);
From I: code of sweet is ‘mi’
From II: code of sweet is ‘mi’

Reasoning Quiz

Reasoning Quiz

Directions(1-5): In this question two statements followed by two conclusions numbered I and II have been given. 

You have to take the two given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions-

 logically follows from the given statements disregarding commonly known facts.

1.) Statements: No win is a loss. All loosses are victories.
Conclusions: I. No victory is a win.
II. Some victory are wins.


1) Both conclusions I and II are true
2) Neither conclusion I nor II is true
3) Only conclusion I is true
4) Only conclusion II is true
5) Either conclusion I or II is true

2.) Statements: All sides are lengths. No length is breadth.
Conclusions I. All lengths are sides.
II. No breadth is a side.

1) Both conclusions I and II are true
2) Neither conclusion I nor II is true
3) Only conclusion I is true
4) Only conclusion II is true
5) Either conclusion I or II is true

3.) Statements: No remark is a wish. Some wishes are hopes.
Conclusions I. At least some remarks are hopes.
II. All hopes are wishes.

1) Only conclusion II is true
2) Both conclusion I and II are true
3) Neither conclusion I nor II is true
4) Either conclusion I or II is true
5) Only conclusion I is true

4.) Statements: Some pens are erasers. All sharpeners are pens.
Conclusions I. All sharpeners beingerasers is a possibility.
II. All erasers are pens

1) Neither conclusion I nor II is true
2) Either conclusion I or II is true
3) Only conclusion II is true
4) Both conclusions I and II are true
5) Only conclusion I is true

5.) Statements: Some names are languages. All languages are names.
Conclusions I. At least some poems are names.
II. At least some languages are names.

1) Both conclusions I and II are true
2) Only conclusion II is true
3) Only conclusion I is true
4) Either conclusion I or II is true
5) Neither conclusion I nor II is true

Directions(6-10): In this question, relationship between different elements is shown in the statements. The statements are followed by conclusions. 

Study the conclusions based on the given statement and select the appropriate answer.

6.) Statements C ≥ O = M < U ≤ N < D
Conclusions I. O < D
II. C > N

1) Both conclusions I and II are true
2) Only conclusion I is true
3) Neither conclusion I nor II is true
4) Either conclusion I or II is true
5) Only conclusions II is true

7.) Statements P > L = A ≥ C = E
Conclusions I. E ≤ L
II. P> C

1) Either conclusion I or II is true
2) Only conclusion II is true
3) Both conclusions I and II are true
4) Only conclusion I is true
5) Neither conclusion I nor II is true

8.) Statements S > T ≤ A = I; L ≥ A
Conclusions I. L ≥ T
II. A > S

1) Only conclusion II is true
2) Neither conclusion I nor II is true
3) Only conclusion I is true
4) Either conclusion I or II is true
5) Both conclusions I and II are true

9) Statements S > T ≤ A = I; L ≥ A
Conclusion I. S > L
II. I ≤ L

1) Neither conclusion I nor II is true
2) Only conclusion I is true
3) Both conclusions I and II are true
4) Either conclusion I or II is true
5) Only conclusion II is true

10.) Statements N ≤ U < M = B ≥ E> R
Conclusions I. N ≤ R
II. E ≤ U

1) Either conclusion I or II is true
2) Both conclusions I and II are true
3) Only conclusion II is true
4) Only conclusion I is true
5) Neither conclusion I nor II is true

Directions(11-15): Study the information and answer the given question.
In a certain code language 'prep ate for your exams' is written as, 'xn nt oz wl'
'hard work for prepare' is written as, 'nt ml oz tk'
'prepare your studies well' is written as, 'sd jk nt xn'
'work well best results' is written as, 'ds lu jk ml'

1.) What is the code for 'best' in the given code language?
1) lu
2) ml
3) sd
4) ds
5) Either ds or lu

2.) In the given code language 'nt' is the code of which word?
1) prepare
2) your
3) hard
4) work
5) exam

3.) What may be the code for 'exams are hard' in the given code language?
1) wl ml tk
2) zr tk ko
3) wl xn tk
4) tk zr wl
5) ko wl xn

4.) What is the code for 'studies for' in the given code language?
1) ds sd
2)  jk sd
3) jk xn
4) oz jc
5) oz sd

5.) What is the code for 'well' in the given code language?
1) xn
2) nt
3) wl
4) jk
5) ml

1. 5
2. 4
3. 3
4. 5
5. 1
6. 2
7. 3
8. 3
9. 5
10. 5
1. 5
2. 1
3. 4
4. 5
5. 4

Quant Quiz- HCF & LCM

Quant Quiz- HCF & LCM

1.If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other?

a.34
d.77
c.12
d.45
e.None of these

2.Which greatest possible length can be used to measure exactly 15 meter 75 cm, 

11 meter 25 cm and 7 meter 65 cm?
a.45cm
b.255cm
c.244cm
d.55cm
e.None of these


3. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively?
a.125
b.127
c.129
d.131
e.None of these

4.Find the largest number which divides 62,132,237 to leave the same reminder?
a.30
b.32
c.35
d.45
e.None of these

5. Find the largest number of four digits which is exactly divisible by 27,18,12,15?
a.9700
b.9710
c.9720
d.9730
e.None of these

6. An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. 

They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is?
a.10:28 am
b.10:30 am
c.10:31 am
d.10:35 am
e.None of these

7. Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively?
a.19
b.17
c.13
e.9
e.None of these

8.If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.?
a.2574
b.2500
c.1365
d.1574
e.None of these

9. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is?
a.48
b.22
c.56
d.27
e.None of these

10. Find the LCM of?
2/3,4/6,8/27
a.2/27
b.8/3
c.2/3
d.8/27
e.None of these

Next topic will be Time and Distance.

Answers with solution.

1.(b)
Other number= (693×11)/99
=77

2.(a)
Convert first all terms into cm.
i.e. 1575 cm, 1125cm, 765cm.
Now whenever we need to calculate this type of question, we need to find the HCF. HCF of above terms is 45.

3.(b)
In this type of question, its obvious we need to calculate the HCF, trick is
HCF of (1661 - 10) and (2045 -13)
= HCF (1651, 2032) = 127

4.(c)
HCF of (237-132), (132-62), (237-62)
= HCF of (70,105,175) = 35

5.(c)
LCM of 27-18-12-15 is 540.
After dividing 9999 by 540 we get 279 remainder.
So answer will be 9999-279 = 9720

6.(c)
L.C.M. of 60 and 62 seconds is 1860 seconds
1860/60 = 31 minutes
They will beep together at 10:31 a.m.

7.(b)
HCF of (400-9, 435-10, 541-14)
HCF of (391, 425, 527) = 17

8.(a)
HCF * LCM = 84942, because we know

Product of two numbers = Product of HCF and LCM

LCM = 84942/33 = 2574

9.(a)
Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.
So, the numbers 12 and 16.
L.C.M. of 12 and 16 = 48.

10.(b)
LCM of fraction=LCM of numerator /HCF of denominator
LCM of numerato=8 , HCF of denominator=3
=8/3

Simplification Questions

Simplification Questions

Hello readers, we start Topic wise prectice session for Quant-NICL-AO Exam.Here we will daily post some question from a topic.

Find out the approximate value which should replace the question mark(?) in the following questions. 

1.(47% of 1442-36% of 1412)/63=?
a.4      
b.5
c.3      
d.6
e.1


2.(4576+3286+5639)/(712+415+212)=?
a.18    
b.22
c.34    
d.10
e.46

3.1524.79*19.92+495.26=?
a.33000
b.78535
c.31000  
d.26575
e.34000

4.4734.96-3454.03-1612.86=?-1611.43
a.1280  
b.2290
c.1020  
d.18150
e.1040

5.(32.13)^2+(23.96)^2-(17.11)^2=?
a.1270  
b.1420
c.1450  
d.1360
e.1310

6.(9321+5406+1001)/(498+929+660)=?
a.13.5  
b.4.5
c.16.5  
d.7.5
e.None of these

What should come in the place of question mark(?) in the following question mark?

7. 4+4.44+0.4+44.04+444=?
a.497.24
b.487.66
c.496.88
d.469.88
e.None of these

8.(?)^2+(65)^2=(160)^2-(90)^2-7191
a.75    
b.77
c.79    
d.81
e.NOne of these

9.16% of 450 * ?% of 880=3168
a.6      
b.2
c.15    
d.8
e.None of these

10.Two third of three fourth of one fifth of a number is 15.what is 30 percent of that number?
a.45    
b.60
c.75    
d.30
e.None of these

11.If a number is added to seven ninth of thirty five percent of 900,the value so obtained is 325,what is the number?
a.60    
b.120
c.90    
d.180
e.None of these

12.3463*295-18611=?+5883
a.997091
b.887071
c.989090
d.899060
e.None of these

13.(21)^2-3717/59=?*8
a.43.75  
b.42.25
c.45.75  
d.47.25
e.None of these

14.(0.81)^7/(0.729)^3*(0.9)^2=(0.9)^?
a.9      
b.5
c.7      
d.3
e.None of these

15.4+1/2-2-5/6=?-1-7/12
a.13/2  
b.13/4
c.11/4  
d.11/2
e.none of these

Try to solve these questions as quick as possible with accuracy and dont forget to share your solving time also.

Answers will  be provided soon.

Tommorow's topic will be LCM & HCF.



Answers-

1.(c)
(1442*47/100-1412*36/100)/63
(677.74-508.32)/63
169.42/63
2.69=3(approx)

2.(d)
(4576+3286+5639)/(712+415+212)
13501/1339
=10(approx)

3.(C)
1525*20+495
30500+495
=31000(approx)

4.(a)
4734.96-3454.03-1612.86=?-1611.43
4734.96-3454.03-1612.86+1611.43=?
6346-5066(approx)
1280(approx)

5.(e)
(32.13)^2+(23.96)^2-(17.11)^2
1024+576-289
1311=1310(approx)

6.(d)
(9321+5406+1001)/(498+929+660)=?
15728/2087
7.5

7.(c)
4+4.44+0.4+44.04+444=496.88

8.(e)
(?)^2+(65)^2=(160)^2-(90)^2-7191
(?)^2+4225=25600-8100-7191
(?)^2=10309-4225
(?)^2=6084
(?)=78

9.(e)
450*16/100*880/100*?=3168
?*633.6=3168
?=3168/633.6
?=5

10.(a)
Let the number is x.
x*2/3*3/4*1/5=15
x=150
30% of 150=150*30/100
=45

11.(e)
Let the number is x.
x+7/9*35/100*900=325
x+245=325
x=325-245
x=80

12.(a)
3463*295-18611=?+5883
1021585-18611=?+5883
1002974-5883=?
?=997091

13.(d)
(21)^2-3717/59=?*8
441-63=?*8
378=?*8
?=378/8
47.25

14.(c)
(0.81)^7/(0.729)^3*(0.9)^2=(0.9)^?
(0.9)^14/(0.9)^9*(0.9)^2=(0.9)^?
(0.9)^7=(0.9)^?
?=7

15.(b)
4+1/2-2-5/6=?-1-7/12
?=(4-2+1)+(1/2-5/6+7/12)
3+3/12
13/4

Quant Quiz

Quant Quiz

1. A circular garden has a circumference of 440 m. There is a 7 m wide border inside the garden along its periphery. The area of the border is :

(1) 2918 m^2

(2) 2921 m^2

(3) 2924 m^2

(4) 2926 m^2

(5) 2950 m^2

2. In a bag, there are three types of coins – 1 rupee, 50 paise and 25 paise in the ratio of 3 : 8 : 20. Their total value is Rs. 372. The total number of coins is

(1) 1200

(2) 961

(3) 744

(4) 612

(5) 800

3. Two pipes A,B can fill a tank in 24 min. and 32 min. 

respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.?

(1) 8 min

(2) 12 min

(3) 15 min

(4) 20 min

(5) 17 min

4. A train travelling 25 km an hour leaves Delhi at 9 a.m. and another train travelling 35 km an hour starts at 2 p.m. in

 the same direction. How many km from Delhi will they be together?

(1) 437 ½ km

(2) 436 ½ km

(3) 435 ½ km

(4) 434 ½ km

(5) 435 km

5. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

(1) 4 days

(2) 8 days

(3) 6days

(4) 7 days 

(5) 5 days

6. A and B can do a job together in 7 days. A is 1 3/4 times as efficient as B. The same job can be done by A alone in :

(1) 12 days

(2) 11 days

(3) 15 days

(4) 16 days

(5) 10 days

7. A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.

(1) 661.01

(2) 662.01

(3) 663.01

(4) 664.01

(5) None of these 

8. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq.ft, how many feet of fencing will be required?

(1) 90 feet

(2) 85 feet

(3) 88 feet

(4) 84 feet

(5) 82 feet

9. The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half – yearly is :

(1) Rs. 2

(2) Rs. 3

(3) Rs. 4

(4) Rs. 5

(5) None of these 

10. The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.

(1) 5 : 2

(2) 5 : 2

(3) 4 : 25

(4) 5 : 4

(5) 2 : 6

11. A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3.

 What is B's contribution in the capital

(1) 1000

(2) 10000

(3) 12000

(4) 5000

(5) 9000

1. (4) : 2πR = 440
2 × 22/7  x R = 440
R = 70 m.
Inside radius = ( 70 – 7 ) m = 63 m
Area of the border = π [(70)^2 – (63)^2]m^2
= [22/7 x (70 + 63 ) x ( 70 – 63 ) ] m2 = 2926m^2

2. (2)

3. (1) : let B be closed after x min. then ,
Part filled by (A+B) in x min. +part filled by A in (18-x)min.=1
Therefore x*((1/24)+(1/32))+(18-x)*(1/24)=1
(7x/96) + ((18-x)/24)=1.
7x +4*(18-x)=96.
Hence, be must be closed after 8 min.

4. (1) : The first train has a start of 25 / 5 km and the second train gains ( 35 – 25 ) or 10 km per hour.
The second train will gain 25 x 5 km in  (25 x5) / 10 or 12 ½ hours.
The required distance from Delhi = 12 ½ x 35 km = 437 ½ km
Shortcut : (try this )
Meeting point’s distance from starting point
= (S1 x S2 x Difference in time) / Difference in speed      ( S1 and S2 are the speed  )
5. (2) :  (A+B+C)=1/6
A's one day work work= (A+B+C)-(B+C)= 1/6-1/12 =1/12
C's one day work work= (A+B+C)-(A+B)= 1/6-1/8= 1/24
(A+C)'s one day work= 1/12+1/24= 1/8
so the work will be completed in 8 days

6. (2) : (A's 1 day's work) : (B's 1 day's work) = 7 /4 : 1 =  7 : 4
Let A’s and B’s 1 days’ work  be 7 x and 4 x respectively
then , 7x + 4x= 1/7   11x = 1/7   x = 1/77
A’s  1 days = (1) / (77) x 7 = 1/ 11
A alone can do this job = 11 days

7. (2)

8. (3) :  We are given with length and area, so we can find the breadth.
as Length x Breadth = Area
=> 20 x Breadth = 680
=> Breadth = 34 feet
Area to be fenced = 2B + L = 2 x 34 + 20
= 88 feet

9. (2) : S. I = Rs. ((1200 ×10 ×1)/100) = Rs. 120
C. I. = Rs.   = Rs. 123.
Difference = Rs. 3

10. (3) : Let the diagonals of the squares be 2x and 5x.
Then ratio of their areas will be
Area of square=(1/2) x Diagonal2
(1/2 ) x 2x2 : (1/2) x 5x2
 4x2 :25x2 =4:25

10. (5) : Let B contribution is x.
(3500 x 12) /7x=2/3 =>14x=126000=>x=Rs9000

Quant Quiz

Quant Quiz

1. If one-third of one-fourth of a number is 15, then three-tenth of that number is:

A. 35

B. 36

C. 45

D. 54

E. 56

2. Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

A. 9

B. 11

C. 13

D. 15

E. 19

3. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. 

What is the difference between the two digits of that number?

A. 3

B. 4

C. 9

D. Cannot be determined

E. None of these

4. The difference between a two-digit number and the number obtained by interchanging the digits is 36. 

What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

A. 4

B. 8

C. 16

D. None of these

E.  18

5. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, 

then the digits are reversed. The number is:

A. 18

B. 24

C. 42

D. 81

E. 78

6. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. 

What is the two-digit number?

A. 69

B. 78

C. 96

D. Cannot be determined

E. None of these

7. The sum of the squares of three numbers is 138, 

while the sum of their products taken two at a time is 131. Their sum is:

A. 20

B. 30

C. 40

D. 54

E. None of these

8. A number consists of two digits. If the digits interchange places and the new number is added to the original number,

 then the resulting number will be divisible by:

A. 3

B. 5

C. 9

D. 11

E. 13

9. In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and -

that the product of the given number and the sum of its digits is equal to 144, then the number is:

A. 24

B. 26

C. 42

D. 46

E.  48

10. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

A. 3

B. 10

C. 17

D. 20

E. 25

ANSWERS

1.D

2. D

Let the three integers be x, x + 2 and x + 4.

Then, 3x = 2(x + 4) + 3      x = 11.

Third integer = x + 4 = 15.

3.B

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 36

9(x - y) = 36

x - y = 4

4.B

5.B

6.D

Let the ten's digit be x and unit's digit be y.

Then, x + y = 15 and x - y = 3   or   y - x = 3.

 x + y = 15   and   x - y = 3, we get: x = 9, y = 6.

 x + y = 15   and   y - x = 3, we get: x = 6, y = 9.

 number is either 96 or 69.

the number cannot be determined.

7.A

8.D

Let the ten's digit be x and unit's digit be y.

 number = 10x + y.

Number obtained by interchanging the digits = 10y + x.

(10x + y) + (10y + x) = 11(x + y), which is divisible by 11.

9.A

10.A

Let the number be x.

Then, x + 17 = 60/X

 x^2 + 17x - 60 = 0

 (x + 20)(x - 3) = 0

 x = 3.

Quant Quiz

Quant Quiz

1. 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 

2. Find the remainder when 289 is divided by 89?

(1) 1

(2) 2

(3) 88

(4) 89

(5) None of these 

3. A batsman scored 110 runs which included 3 boundaries and 8 sixes. 

What percent of his total score did he make by running between the wickets?

(1) 44 5/11%

(2) 45 5/11 %

(3) 40 5/11%

(4) 30 %

(5) 40%

4. In the new budget , the price of kerosene oil rose by 15%. 

By how much percent must a person reduce his consumption so that his expenditure on it does not increase (approx.)?

(1) 13.04

(2) 10 

(3) 9

(4) 15

(5) 4

5. The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. 

What is the rank of the word LABOUR?

(1) 245

(2) 240

(3) 243

(4) 241

(5) 242

6. From a group of 7 men and 6 women, 

five persons are to be selected to form a committee so that at least 3 men are there on-

 the committee. In how many ways can it be done

(1) 356

(2) 556

(3) 856

(4) 756

(5) 456

7. A man can row 40 km upstream and 55 km downstream in 13 hours. Also, 

he can row 30 km upstream and 44 km downstream in 10 hours. Find the speed of the current.

(1) 5

(2) 3

(3) 6

(4) 4

(5) None of these

8. The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x.

(1) 18

(2) 16

(3) 17

(4) 15

(5) 14

9. After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. 

If the second discount is 12.5, find the first discount?

(1) 10%

(2) 25%

(3) 20 %

(4) 30 %

(5) 35%

10. A person can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, 

he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream?

(1) 3/2 hours

(2) 7 hours

(3) 7 (1/4) hours

(4) 7/2 hours

(5) 5/2 hours

1. (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.

2. (2) 211 leaves a remainder 1.

Thus2^(89)=(211)^8(2) leaves a remainder of 2.

3. (2) : Number of runs made by running =110−(3×4+8×6)

= 110 - (60)

= 50.

Required percentage = (50)/ (110) x 100  = 45 5/11%

4. (1) : Reduction in consumption = [((R/(100+R))*100]%

5. (5) : The order of each letter in the dictionary is ABLORU.

Now, with A in the beginning, the remaining letters can be permuted in 5! ways.

Similarly, with B in the beginning, the remaining letters can be permuted in 5! ways.

With L in the beginning, the first word will be LABORU, the second will be LABOUR.

Hence, the rank of the word LABOUR is 5!+5!+2= 242

6. (4) : From a group of 7 men and 6 women, five persons are to be selected with at least 3 men.

So we can have

(5 men) or (4 men and 1 woman) or (3 men and 2 woman)

(7C5)+(7C4 x 6C1 )+(7C3 x 6C2 )

=[(7×6)/(2×1)]+[(7×6×5)/(3×2×1)×6]+[(7×6×5)/(3×2×1)×(6×5)/(2×1)]=21+210+525=756

7. (2) :Let rate upstream = x km / hr and rate downstream = y km / hr.

 Then,  40/x+ 55/y   =13   ...(i)

and   30/x+44/y=10       ...(ii)

Multiplying (ii) by 4 and (i) by 3 and subtracting, we get :

11/y=1 or  y=11.

Substituting y = 11 in (j), we get : x = 5.

\threrefore Rate in still water =

1/2(11+5)kmph=8kmph.

Rate of current= 1/2(11−5)kmph=3kmph.

8. (2) : Let the cost price 1 article = Re 1

Cost price of x articles = x

S.P of x articles = 20

Gain = 20 -x

=>25=(20−x)/(x)∗(100)=>2000−100x=25x=>x=16

9. (3) : Let the first discount be x%

Then,87.5% of (100-x)% of 150= 105

 (87.5)/(100 )  X   (100-x)/100  X  150=105=>100-x=(105   X   100   X  100)/(150   X   87.5)=80

 x=(100-80)=20

first discount = 20%

10. (4) :Let the speeds of boat and stream be x and y km/hr respectively.

Then, Rate downstream = (x + y) km/hr and Rate upstream = (x - y) km/hr

Given d / (x+y) + d / ( x-y ) =5 hrs 15 minutes = 21/4 hours

and 2d / (x+y) = 7 => d / (x+y)=7/4 => 2d / (x+y)=7/2

Hence, he takes 7/2 hours to row 2d km distance downstream

Quant Quiz - Data Interpretation

Quant Quiz - Data Interpretation

Directions (Q. Nos. 1-8) Refer to the pie charts and answer the given questions.

1.Total number of luxury watches sold by stores C and H together is by what percent less than total number of watches

 (sports watches and luxury watches) sold by stores F and H together?

(1) 295/6

(2) 273/7 

(3) 313/5 

(4) 284/7 

(5) 265/9

2.Number of watches (sports watches and luxury watches) sold by store D is by what percent more than total number of sports watches sold by stores C, F and G together ?

(1) 22.5

(2) 25

(3) 27.5

(4) 35

(5) 30

3.What is the respective ratio between total number of sports watches sold by stores A and B together and total number of watches

 (sports and luxury) sold by stores C and F together?

(1) 64 : 77

(2) 48 : 61

(3) 56 : 77

(4) 64 : 81

(5) 48 : 73

4.What is the average number of luxury watches sold by stores A,D, E, F and H together?

(1)3152

(2)3296

(3)3548

(4)3186

(5)3428

5.If the number of watches sold by stores A, D, and E increased by 10%, 35%, 

and 15% respectively from 2004 to 2005 what was the total number of luxury watches sold by these three stores in 2005?

(1) 16172

(2) 14966

(3) 15848

(4) 15964

(5) 16392

6.What is the central angle corresponding to the number of watches (sports watches and Luxury watches) sold by store B?

(1)39.6°

(2)36.6°

(3)44.2°

(4)42.2°

(5)45.4°

7.Total number of sports watches sold by stores E and F together is what percent of the number of watches (sports watches and Luxury watches) sold by store E?

(1) 787/11 

(2) 833/7 

(3) 825/14

(4) 659/14 

(5) 855/7

8.What is the difference between average number of sports watches sold by stores B, C, G and H together and average number of luxury watches sold by the same stores together?

(1)1100

(2)1200

(3)900

(4)800

(5)1300

DIRECTIONS (9-13) - Study the information given and answer the following questions.

9.Between 1995 and 2000, in which year has the average employment per factory shown an increment compared to previous year, but decreased in the next year?

(1) 1996

(2) 1997

(3) 1998

(4) 1999

(5) None of these

10.If in 1996, 20,100 factories had 659 employments on an average, the remaining factories had an average employment of:

(1) 559

(2) 509

(3) 584

(4) 534 

(5) None of these

11..The total employment in 1999 is how many times to that in 1996?

(1) 1.45

(2) 1.48

(3) 1.6

(4) 1.42

(5) None of these

12.In which of the following five-year period, number of factories has shown maximum increase?

(1) 1980-85

(2) 1985-90

(3) 1990-95

(4) 1995-00

(5) None of these

13.Among the given period, in how many years has the trend of the average employment per factory not changed with respect to the previous year's change?

(1) Two

(2) Three

(3) Four

(4) Can't be determined

(5) None of these

Answers:-

1.(4)
Total number of luxury watches sold by stores C and H together = Total number of (luxury + sports) watches sold by stores C and H together - 

Total number of sports watches sold by stores C and H together= (14 + 9)% of 56000 - (7 +.12)% of 32000 = 12880 - 6080 = 6800
Total number of sport and luxury watches sold by stores F and H together = (8 + 9)% of 56000
= 17% of 56000 = 9520
Therefore, required percentage =(9520- 6800)/9520x 100%=28 4/7%

2.(2)
Number of watches (sports and luxury watches) sold by store ID = 15% of 56000 = 8400
Number of sports watches sold by stores C, F and G together = (7 + 8 + 6)% of 32000 = 21% of 32000 = 6720
Therefore, required percentage
(8400 - 6720)/6720 x 100% = 1680/6720 x 100% = 25%

3.(1)
Total number of sports watches  sold by stores A and B together
= (16 + 16) % of 32000 = 32% of 32000 = 10240
Total number of watches (sports and luxury) sold by stores C and F together = (14 + 8) % of 56000 = 22% of 56000 = 12320
Therefore, required ratio = 10240 : 12320 = 64 : 77

4.(2)

5.(4)

6.(1)

7.(5)

8.(1)

9.(4)
in 1999, average employment per factory is greater than 1998 and less than 2000.

10.(2)
in 1996, for 20100 factories , employees = 13,245,900; average = 609, total employees = 18,361,350. So average for remaining factories = 509.

11.(1) 
total employment in 1999= 36240 x 736.
Total employment in 1996 = 609 x 30150,
Ratio =  (36240×736)/(30150×609)=1.45

12.(4)
From the figure it can be seen that the maximum increase in the number of factories is in 1995- 2000.

13.(4)  
we do not have year wise data in between 1975- 1980 & similarly between 1980-1985,etc.