SNAP 2006: Previous Year Question Paper with Solutions

 Page 1


SNAP 2006
Quantitative Aptitude
1. Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate
vessels should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water?
A    1:1
B    7:5
C    2:4
D    1:3
A n s w e r : B
Explanation:
The fraction of milk in A = 4/(4+3) = 4/7
The fraction of milk in B = 2/(2+3) = 2/5
Let them be mixed in the ratio x:y such that their fraction is 1/2
It can be written as 
 +  = 
Upon solving,
 -  =  - 
 = 
 = 
Required ratio is 7:5
     
2. A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture
Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?
A    75
B    100
C    175
D    275
A n s w e r : D
Explanation:
Let the cost of Picture be Rs X. Then the cost of frame is also Rs X.
As per question  = 
X + 75 = 2X - 200
X = 275
3. What is the closest time between 7 and 8 when the hands of your watch are exactly
opposite each other?
7
4 x
5
2 y
2
x+ y
7
4 x
2
x
2
y
5
2 y
14
x
10
y
y
x
5
7
2
X+75
2 · X - 100 ( )
  
.
Page 2


SNAP 2006
Quantitative Aptitude
1. Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate
vessels should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water?
A    1:1
B    7:5
C    2:4
D    1:3
A n s w e r : B
Explanation:
The fraction of milk in A = 4/(4+3) = 4/7
The fraction of milk in B = 2/(2+3) = 2/5
Let them be mixed in the ratio x:y such that their fraction is 1/2
It can be written as 
 +  = 
Upon solving,
 -  =  - 
 = 
 = 
Required ratio is 7:5
     
2. A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture
Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?
A    75
B    100
C    175
D    275
A n s w e r : D
Explanation:
Let the cost of Picture be Rs X. Then the cost of frame is also Rs X.
As per question  = 
X + 75 = 2X - 200
X = 275
3. What is the closest time between 7 and 8 when the hands of your watch are exactly
opposite each other?
7
4 x
5
2 y
2
x+ y
7
4 x
2
x
2
y
5
2 y
14
x
10
y
y
x
5
7
2
X+75
2 · X - 100 ( )
  
.
A    
7 Hr - 5 Min
B    
7 Hr - 5.5 Min
C    7 Hr - 6 Min
D    7 Hr - 6.5 Min
A n s w e r : B
Explanation:
At 7 the hour hand is   = 210 degrees ahead of the minute hand.
Let after x minutes they are at 180 degrees with each other (since they are exact opposite)
Total angle covered by hour hand = 210 + 0.5x ( as hour hand moves at 0.5 degrees/minute)
Total angle covered by minute hand = 6x ( speed of minute hand is 6 degrees/minute)
As per the question
    Angle by hour hand - Angle by minute hand = 180
(210 + 0.5x) - 6x = 180
210 - 5.5x = 180
5.5x = 30
x  = 5.45 minutes
The closest answer is 5.5 minutes
4. There are 6 tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the
probability that two of them are for the front row?
A    0.6
B    0.7
C    0.9
D    
A n s w e r : A
Explanation:
Out of all the 6 tickets, 4 are front row tickets and the rest 2 are not.
Out of 4 front tickets 2 can be selected in 
The remaining 1 ticket has to be selected in  
Hence total ways of selecting 3 tickets such that 2 of them are front row are   * 
3 out of 6 tickets can be selected in  ways.
Required probability =  *  / 
Which is equal to 0.6
    
5. When 75% of a no. is added to 75, the result is the same number. The no. is
A    150
B    300
· 12
7
360
3
1
C 
4 
2
C 
2 
1
C 
4 
2 C 
2 
1
C 
6 
3
C 
4 
2 C 
2 
1 C 
6 
3
  
.
Page 3


SNAP 2006
Quantitative Aptitude
1. Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate
vessels should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water?
A    1:1
B    7:5
C    2:4
D    1:3
A n s w e r : B
Explanation:
The fraction of milk in A = 4/(4+3) = 4/7
The fraction of milk in B = 2/(2+3) = 2/5
Let them be mixed in the ratio x:y such that their fraction is 1/2
It can be written as 
 +  = 
Upon solving,
 -  =  - 
 = 
 = 
Required ratio is 7:5
     
2. A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture
Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?
A    75
B    100
C    175
D    275
A n s w e r : D
Explanation:
Let the cost of Picture be Rs X. Then the cost of frame is also Rs X.
As per question  = 
X + 75 = 2X - 200
X = 275
3. What is the closest time between 7 and 8 when the hands of your watch are exactly
opposite each other?
7
4 x
5
2 y
2
x+ y
7
4 x
2
x
2
y
5
2 y
14
x
10
y
y
x
5
7
2
X+75
2 · X - 100 ( )
  
.
A    
7 Hr - 5 Min
B    
7 Hr - 5.5 Min
C    7 Hr - 6 Min
D    7 Hr - 6.5 Min
A n s w e r : B
Explanation:
At 7 the hour hand is   = 210 degrees ahead of the minute hand.
Let after x minutes they are at 180 degrees with each other (since they are exact opposite)
Total angle covered by hour hand = 210 + 0.5x ( as hour hand moves at 0.5 degrees/minute)
Total angle covered by minute hand = 6x ( speed of minute hand is 6 degrees/minute)
As per the question
    Angle by hour hand - Angle by minute hand = 180
(210 + 0.5x) - 6x = 180
210 - 5.5x = 180
5.5x = 30
x  = 5.45 minutes
The closest answer is 5.5 minutes
4. There are 6 tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the
probability that two of them are for the front row?
A    0.6
B    0.7
C    0.9
D    
A n s w e r : A
Explanation:
Out of all the 6 tickets, 4 are front row tickets and the rest 2 are not.
Out of 4 front tickets 2 can be selected in 
The remaining 1 ticket has to be selected in  
Hence total ways of selecting 3 tickets such that 2 of them are front row are   * 
3 out of 6 tickets can be selected in  ways.
Required probability =  *  / 
Which is equal to 0.6
    
5. When 75% of a no. is added to 75, the result is the same number. The no. is
A    150
B    300
· 12
7
360
3
1
C 
4 
2
C 
2 
1
C 
4 
2 C 
2 
1
C 
6 
3
C 
4 
2 C 
2 
1 C 
6 
3
  
.
C    
100
D    
450
A n s w e r : B
Explanation:
Let the number be x
As per question 
  + 75 = x
 + 75 = x
 = 75
x = 4*75 = 300
6. Any traveled  as many miles on foot as by water and  as many miles on horse back as by water. If she covered a total of
3036 miles, how many miles did she travel in each manner: water,foot and horseback?
A    1540, 880, 616
B    616, 880, 1540
C    1540, 616, 880
D    880, 1540, 616
A n s w e r : A
Explanation:
Let x be the distance traveled by water
Distance by foot is 
Distance by horseback is 
Total distance = x +  +  = 3036
Hence x = 1540
 = 880
 = 616
Option A is correct
7. A family has several children. Each boy in the family has as many sisters as
brothers both each girl has twice as many brother & sisters are there?
A    3 Brothers, 4 Sisters
B    4 Brothers, 4 Sisters
C    4 Brothers, 3 Sisters
D    Cannot say
A n s w e r : C
Explanation:
Let there be x boys and y girls in the family.
For each of the boys, number of brother = x-1 and number of sister = y
For each of the girls, number of brother = x and number of sisters = y-1
 100
 75 x
 4
 3 x
 4
 x
7
t h
4
5
t h
2
 7
 4 x
 5
 2 x
 7
 4 x
 5
 2 x
 7
 4 x
 5
 2 x
  
.
Page 4


SNAP 2006
Quantitative Aptitude
1. Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate
vessels should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water?
A    1:1
B    7:5
C    2:4
D    1:3
A n s w e r : B
Explanation:
The fraction of milk in A = 4/(4+3) = 4/7
The fraction of milk in B = 2/(2+3) = 2/5
Let them be mixed in the ratio x:y such that their fraction is 1/2
It can be written as 
 +  = 
Upon solving,
 -  =  - 
 = 
 = 
Required ratio is 7:5
     
2. A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture
Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?
A    75
B    100
C    175
D    275
A n s w e r : D
Explanation:
Let the cost of Picture be Rs X. Then the cost of frame is also Rs X.
As per question  = 
X + 75 = 2X - 200
X = 275
3. What is the closest time between 7 and 8 when the hands of your watch are exactly
opposite each other?
7
4 x
5
2 y
2
x+ y
7
4 x
2
x
2
y
5
2 y
14
x
10
y
y
x
5
7
2
X+75
2 · X - 100 ( )
  
.
A    
7 Hr - 5 Min
B    
7 Hr - 5.5 Min
C    7 Hr - 6 Min
D    7 Hr - 6.5 Min
A n s w e r : B
Explanation:
At 7 the hour hand is   = 210 degrees ahead of the minute hand.
Let after x minutes they are at 180 degrees with each other (since they are exact opposite)
Total angle covered by hour hand = 210 + 0.5x ( as hour hand moves at 0.5 degrees/minute)
Total angle covered by minute hand = 6x ( speed of minute hand is 6 degrees/minute)
As per the question
    Angle by hour hand - Angle by minute hand = 180
(210 + 0.5x) - 6x = 180
210 - 5.5x = 180
5.5x = 30
x  = 5.45 minutes
The closest answer is 5.5 minutes
4. There are 6 tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the
probability that two of them are for the front row?
A    0.6
B    0.7
C    0.9
D    
A n s w e r : A
Explanation:
Out of all the 6 tickets, 4 are front row tickets and the rest 2 are not.
Out of 4 front tickets 2 can be selected in 
The remaining 1 ticket has to be selected in  
Hence total ways of selecting 3 tickets such that 2 of them are front row are   * 
3 out of 6 tickets can be selected in  ways.
Required probability =  *  / 
Which is equal to 0.6
    
5. When 75% of a no. is added to 75, the result is the same number. The no. is
A    150
B    300
· 12
7
360
3
1
C 
4 
2
C 
2 
1
C 
4 
2 C 
2 
1
C 
6 
3
C 
4 
2 C 
2 
1 C 
6 
3
  
.
C    
100
D    
450
A n s w e r : B
Explanation:
Let the number be x
As per question 
  + 75 = x
 + 75 = x
 = 75
x = 4*75 = 300
6. Any traveled  as many miles on foot as by water and  as many miles on horse back as by water. If she covered a total of
3036 miles, how many miles did she travel in each manner: water,foot and horseback?
A    1540, 880, 616
B    616, 880, 1540
C    1540, 616, 880
D    880, 1540, 616
A n s w e r : A
Explanation:
Let x be the distance traveled by water
Distance by foot is 
Distance by horseback is 
Total distance = x +  +  = 3036
Hence x = 1540
 = 880
 = 616
Option A is correct
7. A family has several children. Each boy in the family has as many sisters as
brothers both each girl has twice as many brother & sisters are there?
A    3 Brothers, 4 Sisters
B    4 Brothers, 4 Sisters
C    4 Brothers, 3 Sisters
D    Cannot say
A n s w e r : C
Explanation:
Let there be x boys and y girls in the family.
For each of the boys, number of brother = x-1 and number of sister = y
For each of the girls, number of brother = x and number of sisters = y-1
 100
 75 x
 4
 3 x
 4
 x
7
t h
4
5
t h
2
 7
 4 x
 5
 2 x
 7
 4 x
 5
 2 x
 7
 4 x
 5
 2 x
  
.
As per question,
x-1 = y ( equation of brother and sister for boys)
x = 2(y-1) (equation of brother and sister for girls
On solving we get x = 4 and y= 3, Hence option C
    
8. You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles in any of these two jars. The jars
will then be shaken and you will be asked to pick one marbles from either jar. How would you distribute the marbles in two are
to maximize the possibility of picking a white marble blind folded?
A    25 white and 25 black in each.
B    White in one and 99 in the other.
C    50 white in one and 50 black in the other.
D    All hundred in one.
A n s w e r : B
Explanation:
The probability of picking the white is 0.5*(Probability of white in Jar1) + 0.5*(Probability of white in Jar2)
To maximize the probability we can put 1 white marble in jar 1. Hence the probability of white in jar 1 = 1
The remaining 49 white and 50 black can be put in Jar 2. Thus, the Probability of white in Jar 2 = 49/99.
All other options give less probability
9. The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate was
turned upside down. The bus company had only five hundred buses numbered from 1 to 500. What can be the number?
A    169
B    36
C    196
D    Cannot say
A n s w e r : A
Explanation:
Since the bus has numbers from 1 to 500 and is a perfect square it has to be one of the numbers among
1 , 4 , 9 , ..... 484( )
When the plate is put upside down then also a number is obtained which is a perfect square.
It is possible when the digit on the plate contains only  digits 0,1,6,8 and 9
Among the options, 169 ( )is a perfect square which upon putting upside down gives 961( ) which is also a perfect square
10. If 5 spiders can catch five flies in five minutes. How many flies can hundred spiders catch in 100 minutes?
A    100
B    1000
C    500
22
2
13
2
31
2
  
.
Page 5


SNAP 2006
Quantitative Aptitude
1. Milk and water in two vessels A and B are in the ratio 4 : 3 and 2 : 3 respectively. In what ratio the liquids in both the plate
vessels should be mixed to obtain a new mixture in vessel C, only five maintaining half milk and half water?
A    1:1
B    7:5
C    2:4
D    1:3
A n s w e r : B
Explanation:
The fraction of milk in A = 4/(4+3) = 4/7
The fraction of milk in B = 2/(2+3) = 2/5
Let them be mixed in the ratio x:y such that their fraction is 1/2
It can be written as 
 +  = 
Upon solving,
 -  =  - 
 = 
 = 
Required ratio is 7:5
     
2. A picture was bought at a certain sum, which was the price paid for its frame. Had the frame cost Rs 100 less and the picture
Rs 75 more the price for the frame would have been only half of that of the picture. What is the price of the frame?
A    75
B    100
C    175
D    275
A n s w e r : D
Explanation:
Let the cost of Picture be Rs X. Then the cost of frame is also Rs X.
As per question  = 
X + 75 = 2X - 200
X = 275
3. What is the closest time between 7 and 8 when the hands of your watch are exactly
opposite each other?
7
4 x
5
2 y
2
x+ y
7
4 x
2
x
2
y
5
2 y
14
x
10
y
y
x
5
7
2
X+75
2 · X - 100 ( )
  
.
A    
7 Hr - 5 Min
B    
7 Hr - 5.5 Min
C    7 Hr - 6 Min
D    7 Hr - 6.5 Min
A n s w e r : B
Explanation:
At 7 the hour hand is   = 210 degrees ahead of the minute hand.
Let after x minutes they are at 180 degrees with each other (since they are exact opposite)
Total angle covered by hour hand = 210 + 0.5x ( as hour hand moves at 0.5 degrees/minute)
Total angle covered by minute hand = 6x ( speed of minute hand is 6 degrees/minute)
As per the question
    Angle by hour hand - Angle by minute hand = 180
(210 + 0.5x) - 6x = 180
210 - 5.5x = 180
5.5x = 30
x  = 5.45 minutes
The closest answer is 5.5 minutes
4. There are 6 tickets to the theater, four of which are for seats in the front row. 3 tickets are selected at random. What is the
probability that two of them are for the front row?
A    0.6
B    0.7
C    0.9
D    
A n s w e r : A
Explanation:
Out of all the 6 tickets, 4 are front row tickets and the rest 2 are not.
Out of 4 front tickets 2 can be selected in 
The remaining 1 ticket has to be selected in  
Hence total ways of selecting 3 tickets such that 2 of them are front row are   * 
3 out of 6 tickets can be selected in  ways.
Required probability =  *  / 
Which is equal to 0.6
    
5. When 75% of a no. is added to 75, the result is the same number. The no. is
A    150
B    300
· 12
7
360
3
1
C 
4 
2
C 
2 
1
C 
4 
2 C 
2 
1
C 
6 
3
C 
4 
2 C 
2 
1 C 
6 
3
  
.
C    
100
D    
450
A n s w e r : B
Explanation:
Let the number be x
As per question 
  + 75 = x
 + 75 = x
 = 75
x = 4*75 = 300
6. Any traveled  as many miles on foot as by water and  as many miles on horse back as by water. If she covered a total of
3036 miles, how many miles did she travel in each manner: water,foot and horseback?
A    1540, 880, 616
B    616, 880, 1540
C    1540, 616, 880
D    880, 1540, 616
A n s w e r : A
Explanation:
Let x be the distance traveled by water
Distance by foot is 
Distance by horseback is 
Total distance = x +  +  = 3036
Hence x = 1540
 = 880
 = 616
Option A is correct
7. A family has several children. Each boy in the family has as many sisters as
brothers both each girl has twice as many brother & sisters are there?
A    3 Brothers, 4 Sisters
B    4 Brothers, 4 Sisters
C    4 Brothers, 3 Sisters
D    Cannot say
A n s w e r : C
Explanation:
Let there be x boys and y girls in the family.
For each of the boys, number of brother = x-1 and number of sister = y
For each of the girls, number of brother = x and number of sisters = y-1
 100
 75 x
 4
 3 x
 4
 x
7
t h
4
5
t h
2
 7
 4 x
 5
 2 x
 7
 4 x
 5
 2 x
 7
 4 x
 5
 2 x
  
.
As per question,
x-1 = y ( equation of brother and sister for boys)
x = 2(y-1) (equation of brother and sister for girls
On solving we get x = 4 and y= 3, Hence option C
    
8. You are given 50 white marbles, 50 black marbles and two jars. You need to put 100 marbles in any of these two jars. The jars
will then be shaken and you will be asked to pick one marbles from either jar. How would you distribute the marbles in two are
to maximize the possibility of picking a white marble blind folded?
A    25 white and 25 black in each.
B    White in one and 99 in the other.
C    50 white in one and 50 black in the other.
D    All hundred in one.
A n s w e r : B
Explanation:
The probability of picking the white is 0.5*(Probability of white in Jar1) + 0.5*(Probability of white in Jar2)
To maximize the probability we can put 1 white marble in jar 1. Hence the probability of white in jar 1 = 1
The remaining 49 white and 50 black can be put in Jar 2. Thus, the Probability of white in Jar 2 = 49/99.
All other options give less probability
9. The no. plate of a bus had peculiarity. The bus number was a perfect square. It was also a perfect square when the plate was
turned upside down. The bus company had only five hundred buses numbered from 1 to 500. What can be the number?
A    169
B    36
C    196
D    Cannot say
A n s w e r : A
Explanation:
Since the bus has numbers from 1 to 500 and is a perfect square it has to be one of the numbers among
1 , 4 , 9 , ..... 484( )
When the plate is put upside down then also a number is obtained which is a perfect square.
It is possible when the digit on the plate contains only  digits 0,1,6,8 and 9
Among the options, 169 ( )is a perfect square which upon putting upside down gives 961( ) which is also a perfect square
10. If 5 spiders can catch five flies in five minutes. How many flies can hundred spiders catch in 100 minutes?
A    100
B    1000
C    500
22
2
13
2
31
2
  
.
D    
2000
A n s w e r : D
Explanation:
The rate at which spiders catch the flies remains the same. Hence multiplying the time frame and the number of spiders relative to the
information provided gives the solution.
Distributing 5 spiders as a group. There are 20 groups and each group catches 5 spiders in 5 minutes ad hence 100 spiders are caught
in 5 minutes and in 100 minutes.
100*(100)/5 = 2000 flies.
=> W= 2000
    
11. Recently my brother and I played chess form chocolates. Who ever lost the game gave the other a chocolate. After the last
game we counted the chocolates. I had 20 more chocolates than I started with, although he won 7 games. There is no draw.
How many games did we play?
A    27
B    34
C    37
D    54
A n s w e r : B
Explanation:
I have won X number of chess games and my brother has won 7 games.
For every game I win I get 1 chocolate and and I give 1 chocolate if my brother wins. Let A be number of chocolates with me initially.
Then , A +X - 7 = A +20
X= 27
Total games played = Games won by me + Games won by my brother = 27+7 = 34
12. Study the series carefully 'B 8 4 C R M 9 P D K W F A 2 E J 7 X U Q H L T Y 6 G S'. If it is possible to make a meaningful word with
the ninth, the sixteenth, the twenty-fourth and the twenty-seventh letters from the left in the above series, which of the
following will be the first letter of the word? If no such word can be made, give 'X' as an answer. If more than one such word can
be made, give 'M' as an answer.
A    X
B    M
C    J
D    Y
A n s w e r : A
Explanation:
 term = D
 term = J
 = W1
M1· D1· ( )
W2
M2· D2 ( )
 = 5
5·5 ( )
W2
100·100 ( )
9
t h
16
t h
t h
  
.