Quant

ANSWER THIS IF YOU CAN!!
- you enter a bus
- in that you see 7 girls
- each girl has 7 bags
- in each bag there are 7 big cats

- each big cat has 7 small cats
- each cat has 4 legs
Calculate the no of legs in the bus.....

 

sol>

Each big cats have 7 small cats. Systematically, 7 small cats has 28 legs (7 * 4) combined with the big cat that owns this 7 small cats.Let's call this the "cat chain", so cat chain 1 has 32 legs altogether. So since there are 7 big cats 7 * 32 = 224 legs. Therefore each backpack has 224 legs. Finally, each girl has 7 * 224 = 1568 legs. Lastly, since there are 7 girls, A to G, there are 7 * 1568 legs (per girl) = 10976 legs.Now, since each girl also has 2 legs each and your 2 legs;SO, (7 * 2) + 2 + 10976 = 10992 legs altogether

Time And Distance

A and B are traveling from a distance X and Y. A starts at 12p.m at a speed of 6km/hr and B starts at 1.30p.m at a speed of 8km/hr. At what time will be the 3 km ahead of A.
a) 3p.m
b) 4.30p.m
c) 6p.m
d) 7.30p.m

sol> 

A start 12 pm 6+6+6+6+3 = 27 km cover at 4:30
B start 1 :30 4+8+8+4 =24 km at 4 30...

Logic

There are 60 slots around a circle, numbered from 1 to 60. A man starts from the 1st slot then 5th slot and jumps into the 9th slot and so on. In which slot will he land in his 2200th jump?
a) 45
b) 41
c) 1
d) 5

 

sol>

in each 15 jump he will complete circle.............so at 2190step he will on 1st slot.................................in remaining 10 jump he will on 45th slot.////////////////////

Pipe and tank

Three pipes A,B,C can fill a tank in 6 hrs.After working together for 2 hrs, C is closed and A & B can fill the remaining in 7 hrs.The number of hrs taken by C alone to fill the tank is
a.10
b.12
c.14
d.16

spl>

1/a + 1/b +1/c = 1/6..now in 2 hrs they'l cmplt 1/3 wrk.so the remaining 2/3 wrk is dne in 7 days.so whole wrk by a and b is done in 10.5 days.so 1/a + 1/b=2/21..by solvn 2 eqn we get c=14.

Series

Find the missing numbers in the series: 0,2,5,?,17,28,?,

sol>

0, 0+2, 2+3, 5+5, 10+7, 17+11, 28+13
2,3,5,7,11,13 these are prime numbers

Arrangement

There r 3 boys & 4 girls; How many ways they r arranged such that boys should be always together ???

 

sol>

4 girls + 1 boy unit(all 5 together) . so 5! * ( 3 boys can be arranged in 3! ways) => 5!*3!

Series

FIND THE ODD ONE
331,482,551,263,383,242,111

 

sol>

383

 here odd doesn't mean odd numbers...

2nd digit of no.=1st digit no.* 3rd digit no.

Logic image

sol>b..only b does not contain any repetitions

Logic Fig

Which symbol will be on the face opposite to the face with symbol * ?

A. @ B. $
C. 8 D. +

 

sol>

from 1st figure you can see that "@" and "-" can not be opposite to "*". From 2nd figure its seen that "+" can also not be opposite to "*". From 3rd figure its seen that "$" can also not be opposite to "*". Hence only "8" is opposite to "*".

 

Logic

Introducing a boy, a girl said, "He is the son of the daughter of the father of my uncle." How is the boy related to the girl?

A. Brother B. Nephew
C. Uncle D. Son-in-law

 

sol>brother

Logic

A man is wearing black. Black shoes, socks, trousers, lumper, gloves and balaclava. He is walking down a black street with all the street lamps off. A black car is coming towards him with its light off but somehow manages to stop in time. How did the driver see the man?

 

sol>its day time

 

discount

A shopkeeper gives 12% additional discount on the discounted price, after giving an initial discount of 20% on the labeled price of a radio. If the final sale price of the radio is Rs.704, then what is its labeled price?

 

sol>

1000rs. Sale price=(1-discount1)(1-discount2)....(1-discountn)market price.

Quant

Four persons can cross a bridge in 3,7,13,17 minutes. Only two can cross at a time. find the minimum time taken by the four to cross the bridge.

 

Sol>

First 2,4 will go and then 1,3 will go

so 24 is the ans 

Quant

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two
 is 1073. The sum of the three numbers is:
A) 75 B) 81
C) 85 D) 89
sol>since the second no. is common in both products , it must be factor of
both 551 and 1073 ... i.e. 29 so the no .will be 551/29 and 1073/29 i.e.
19,29 and 37 .... so sum is 85

Series

8,2,14,6,11,?,14,6,18,12
? = ________
sol>

its 9......sum of nth number from start n last is 20...8+12,2+18,14+6,6+14,11+9

Series

8, 24, 12, 36, 18, 54, (....)
sol>

see the alternate numbers starting from 8
its left is its twice and its right is its thrice.--27

Quant-Term

What is the 2777^th term in the series 1234567891011121314……..?

a)9 b)3 c)7 d) 6

Answer : d) 6

Solution :

Proceeding similar to the previous problems, we know that the following.
Number of digits from 1 to 99 = 189
Number of digits from 1 to 999 = 2889
Since 2777 is in between 180 and 2889, it has to be present in somewhere in the range of 100 to 999.
We have to find 2777^th term after 1, i.e 2777 - 189 = 2588^th term after 99.

Dividing 2588 by 3 we get, 862 and remainder 2.
i.e our answer is the 2^nd digit of the number that occurs after 862^th number after 99.
892^th number after 99 = 862 + 99 = 961
Number after 961 = 962.
Second digit of 962 = 6.

Quant--Term

What is the 27393^rd term in the series 1234567891011121314……..?

a)4 b)3 c)5 d)6

Answer : c) 5

Solution :

By closely inspecting the series, one can find the following :
i) There are 9 single digit numbers starting from 1 to 9.
ii) After single digit numbers, 2 digit numbers are in sequence. There are 90 such numbers from 10 to 99. Number of digits occupied by all these numbers = 90 x 2 = 180 digits.
iii) Following 2 digit numbers there would be 3 digit numbers starting from 100 and proceeding upward till 999. There are 900 such numbers ranging from 100 to 999. Number of digits occupied by all these numbers = 900 x 3 = 2700

From above three findings from 1 to 999 the total number of digits occupied will be 9 + 180 + 2700 = 2889 . Following 999, there would be 4 digit numbers starting from 1000 and proceeding upwards.
To solve the question, we have to find 27393rd term from 1. In other words we have to find 27393 - 2889 = 24504^th term from 999.
Dividing 24504 by 4 we get 6126 leaving no remainder. This implies that the last digit of the 6126^th four digit number starting after 999 is our answer.
i.e last digit of 6126 + 999 = 7125 is our answer. Therefore our answer is 5.

Quant

If the number 91876 * 2 is completely divisible by 8, then the smallest whole number in place of * will be:
A. 1
B. 2
C. 3
D. 4
E. None of these

sol>

3 is the ans....

divisibilty by 8 is that  if last 3 digit divide by 8 then whole number will be devidable

here,-----------------for ans =3------------->632 will be devide by 8 so..........number will be

Series

140 68 36 16 10 3 THEN
284 (A) (B) (C) (D) (E)

which number will come in place of (C)?

1) 50
2)34
3)64
4)52
5)none of these

 

sol>

(284/2)-2=140,(140/2)+2=72,(72/2)-2=34 ans

Work And Time

A can do a piece of work in 12 days.B is 60%more efficient than A.The number of days,B would take to do the same piece of work is
A)7 1/2 (7.5)
B)6 1/4 (6.25)
C)8
D)6

 

sol>

Ans is A)
b can work in 1 day is=1/12 + 1/12*60%
=2/15

so b can do work in 15/2=7.5 days

Quant

find the sum of all the integers which are multiplies of7 lying between 200 and 400
1)8379
2)8279
3)8579
4)8729

 

sol>

203+207+217+...+399
t=a+(n-1)d
399=203+(n-1)7
so n=29
sum=n/2(a+l)
so sum=29/2(203+399)
so sum=8729

Quant

A Polygon has 54 diagonals.Find The Number Of its sides.
A)6
B)12
C)27
D)18

sol>

for diagonal 2 points needed...
and diagonal should not be side..
nC2-n=54
so n(n-1)/2 = 54
so n=12

Quant

Write down the largest number formed by four 1's...

sol>11^11

Quant-image

sol>
next row describing previous row
2nd row:-1 time 1=11
3rd row:-2time 1=21
4th row:-1 time 2 and 1 time 1=1211
5th row:-1time 1 and 1time 2 and 2time 1
so on..
13112221 is the ans. 

Series

the sum of the following series
3+4+8+9+13+14+18+19+... to 20 terms is
1)549
2)520
3)511
4)536

sol>

(3+4)+(8+9)+(13+14)+(18+19)+...=7+17+27+37+... 10 terms now easy for u.. 

 sum=n/2[2a+(n-1)d]

Series

32, 48, 72, 108,__, 243.
(1) 130 (2) 162 (3) 192 (4) 201

sol>

 48/32=3/2,72/48=3/2,108/72=3/2,162/108=3/2,243/162=3/2 SO ANS IS 162

Quant

The product of 5 different temperatures is 12.If all of then r integers then find all the temperatures......

sol>-1,-2,1,2,3

Quant

There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be
weighed for finding out the haevy ball.

 

sol>8 times

6561 is <=3^8.
Whenever this type of question is there you can simply use this method:The no of balls say n,so if n<=3^x the x is the min number of steps to find the odd ball.

Quant

What is the greatest number which shall divide 305 and 629 and leave remainder 8 in each case?
1)27
2)30
3)36
4)32

sol>305-8=297
629-8=621

common number bet them is 27

Quant

How many square in chess board??

 

sol>

n^2 + (n-1)^2 + (n-2)^2 ... ... 2^2 + 1^2

n=8
then
total=204

Quant

A picnic party of 4 persons is to be selected from 8 engineers and 3 doctors so as to include at least one doctor.The possible number of ways are
1)168
2)84
3)8
4)260

sol> 

 

if   1 doctor  and 3 engineers 

8c3=56
3c1=3
56*3=168


if 2 doctor and 1 engineer

2d n 2e
3c2=3 8c2=28
28*3=84

if 3 doctor and 1 engineer

3d and 1e
3c3=1  8c1=8
8*1=8

so sum is=168+84+8=260

Series

1 0 0 3 20 _
What will be the next term?

sol> n! - n . n starts from zero...

Quant

the number of circles can be drawn out of 10 points of which 7 are collinear will be:-
1)120
2)113
3)85
4)86

sol>

3 non collinear then =>3C3

1 collinear , 2 non then=> 7C1*3C2

2 co and 1 noncollinear then=>7C2*3C1

sum of all are 85

Quant

How many rectangles are there in a 4×6 grid of squares ?

sol>

{ m(m+1)/2 } * { n(n+1)/2 } for any m×n grid squares..

so through this 210 is the ans

Quant

100! ends with how many zeros?
(a) 22
(b) 23
(c) 24
(d) 25

sol>

100/20=5 and 20/5=24

so 20+4=24 is ans

Quant

It's always 1 to 6, it's always 15 to 20, it's always 5, but it's never 21, unless it's flying. What is this?

 

sol>

dice

1 to 6 face of dice!!
rest position hoy etle 5 face thay....!!
total of any 5 at rest position 15 to 20 !!
nd in Air
6 face r there....so total of dat(1+2+3+4+5+6) = 21.

Puzzle

A man lives in the penthouse of an apartment building. Every morning he takes the elevator down to the lobby and leaves the building. Upon his return, however, he can only travel halfway up in the lift and has to walk the rest of the way - unless it's raining. What is the explanation for this?

spl>

The man is a dwarf. He can't reach the upper elevator buttons, but he can ask people to push them for him. He can also push them with his umbrella.

Puzzle

There are six eggs in the basket. Six people each take one of the eggs. How can it be that one egg is left in the basket?

 

sol>

last one picks basket with egg

Quant

What Are The Last 3 digits Of Expression 23*24*25*.......*31*32
1)5,0,0
2)2,0,0
3)2,8,0
4)0,0,0

 

 

sol>4

25 * 24 = 600 ...2 zeros and oen zero from 30 ...

Series

A cyclist drove one kilometer, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometer without wind?

sol>

let speed of cyclist be x kmph
let speed of wind be y kmph
then,along the wind,
speed=x+y,dist.=1 km and time=3min=1/20 hr equating,we get,x+y=20
similarly, against the wind,
speed=x-y,dist=1km and time=4min=1/15 hr, equating we get,x-y=15
using both equations we get,x=35/2
speed=35/2 kmph, dist=1km,
time=dist/speed
=1/35/2=2/35 hours=2/35*60=24/7 min





v1-v2=0.25km/mn
v1+v2=0.33km/mn
______________
2v1=0.58km/mn
v1=0.29km/mn
t=distance/velocuty
=1km/0.29km/mn
=3.44mn

Series

4,10,?,82,244,730-->

sol?
1 + 3 = 4
1 + 3 * 3 = 10
1 + 3 * 3 * 3 = 28
1 + 3 * 3 * 3 * 3 = 82

Series

Find out the wrong number in the series.

2880, 480, 92, 24, 8, 4, 4

A. 480
B. 92
C. 24
D. 8
E. 4

sol>92
as sum of all other digits is even except 92.

Series

4,6,12,14,28,30,?

sol>
60..........+2 then *2