Answers : SECTION-II

  DIRECTIONS for questions 46 to 48: Choose the correct alternatives
Question 46. A  wife leaves home and reaches her husbands office by car everyday at 5 p.m. to pick him up.  One day, since the husband finished his work at 4 p.m. he started walking towards home.  On the way he met his wife and they reached home 10 minutes earlier than they normally to.  For how much did the husband walk before he  met his wife?

A. 50 mins
B. 40mins 
C. 55min
D. 35min

Question 47. Two men starting from the same place walk at the rate of 4 kms/hr and 6 kms/hr  respectively.  How many kms will they be apart at the end of 3-5 hours if they walk in opposite directions initially for the 1st half an hour and they reverse directions after every one hour

A. 10km
B.  5kms
C. 9kms
D. 6kms

Question 48. A train travelling at 40 km/hr while inside a tunnel meets another train of half its length travelling at 60 km/hr and passes it completely in 4.5 seconds.  Find the length   of the tunnel if 1st  train passes completely through it in 4 minutes 37.5 seconds

A. 2000m
B. 3000m 
C. 4000m
D. 5000m

  DIRECTIONS for questions 49 to 51: Read the following and answer the questions that follow

Mr.  Will power died and left Rs.1.000,000 to three relatives and their wives.  The wives together received Rs.396,000. Jaya received Rs.10,000 more than Chandrika and Maya received Rs.10,000 more than Jaya.  Rohan Kapoor was given just as much as his wife, Anil Mathur got one and half times as much as his wife.  Dilip Kaul received twice as much as his wife.
Question 49. Who is Rohan’s wife?

A. Jaya
B. Chandrika 
C. Maya
D. Cannot say

Question 50. Who is Anil’s wife?

A. Jaya
B. Chandrika 
C. Maya
D. Cannot say

Question 51. Who is Dilip’s wife?

A. Jaya
B. Chandrika 
C. Maya
D. Cannot say

  DIRECTIONS  for questions 52 to 78: Choose the correct alternatives
Question 52. A cycle dealer buys 30 bicycles of which 8 are 1st grade and the rest 2nd grade, for Rs.  4725.  Find at what price h must shell the 1st grade bicycles, so that if he sells  the 2nd grade bicycles at ¾ ths of this price, he makes a profit of 40% of his outlay?

A. Rs.240
B. Rs250 
C. Rs.260
D. Rs.270

Question 53. A student bought books, notebooks & pencils from a shop.  If ratio of no. of books to no.of  notebooks  is the same as the ratio of no. of  pencils, find the no.of notebooks if books & pencils are 20 & 5 respectively

A. 7
B. 8 
C. 9
D. 10

Question 54.

49.         A piece of work is done by A,B,C in 5 days as follows

A works for the whole time, B only on the first 2 days and C only on last 3 days.  This work could have been done by B and C in 6 days without involving  A.  If  B and C working together can do as much work in 2 days as A can do in 3 days, find how long it will  take for each one to do this work alone.

 

A. 10,20,10 days
B. 7,9,11 days 
C. 8,12,9 days
D. 9,18,9 days

Question 55. A tank supplies water  to a family for 60 days.  Due to a leak in the tank, 5 litres of water  waste every day and then the supply last for 10 day less.  For how many days less will the supply last if 50 litres of water leak everyday.

A. 15 days
B. 16 days 
C. 18days
D. 20 days

Question 56.

In the figure L1 is parallel to L2.  If AB=CD, then

A. ABE is in equilateral triangle
B. AC=BD 
C. AD=BC
D. AC=AD

Question 57.

Line BC divides  rADE into 2 sections, one of them an isosceles r  (AB=AC).  Angle DBC is equal to 105°.  What is the sum of he measure of angles D and E?

A. 100
B.  125
C. 150
D. 175

Question 58. 65% of children in a sports club play football, 10% play volleyball and 75 % play baseketball.  What is the smallest % of children playing all the three games?

A. 15
B. 16 
C. 10
D. 20

Question 59.

 

 

 

 

 

 The radius OA of the circle in the figure is

A. 9
B. 7
C. 5
D. 3

Question 60. A pyramid is cut 1 cm from the top, parallel to its base.  The base area of the cut out piece is 20cm2 and the base area of the pyramid is 80 cm2.  Find from what height from the base of the pyramid, was the portion cut?

A. 7cms
B. 1cm 
C. 3,7cms
D. can't be determined

Question 61. The Cost Price of four qualities of tea are Rs.12, Rs.15, Rs.18 and Rs.21 per kg.  If they are mixed in the production 4:3:2:1, find Selling  Price of mixture per kg in order to make a profit of 10%.

A. Rs.16.5
B. Rs.17 
C. Rs.17.5
D. Rs.  18

Question 62. A farmer bought some donkeys for Rs.50 each,   sheep at Rs.40 each, goats at Rs.25 each and pigs at Rs.10 each. The average price of the animals per head worked to Rs.30.  Which of the following can be a value for the number of goats purchased

A. 1
B. 2 
C. 3
D. 5

Question 63. If a/b = c/d  and d/c=x/y.  Which of the following is true?

A. y/a = x/b
B. xy = ab 
C. ac/bd = x/y
D. x- c+d-y

Question 64. A vessel contains 180 litres of wine, 60 litres are taken out of the vessel everyday and equal quantity of water put in what quantity of wine remains at the end of 3 days?

A. 52 litres
B. 52.5 litres
C. 54 litres
D. 53.3 litres

Question 65. If r,s and t are consecutive odd integers with r<s<t, Which of the following must be true?

A. rs = t
B. r + t = 2t – s 
C. r + s = t+ 2
D. r + t = 2s

Question 66. The cost price of 4 chairs and 5 tables is 330.  If the chairs are sold at 25% loss and tables at 25% profit, the total S.P is Rs. 372.50.  The cost price of chair is

A. Rs. 15
B. Rs.20 
C. Rs.25
D. Rs.30

Question 67. ab + cd + ac +bd = 6, If a + d =3 then b + c =

A. 1
B. 2 
C. 6
D. 3

Question 68. A cistern can be filled separately by 2 pipes A &B in 45 minutes & 36 minutes respectively.  Tap C at the bottom can empty the cistern in 30 minutes.  If the tap C is opened 7 minutes after the 2 pipes A and B are opened, find when will cistern be filled?

A. 48 minutes
B. 46 minutes 
C. 44 minutes
D. 39 minutes

Question 69. If r-1, and r+1 are sides of a r, then r can’t be

A. greater than 3
B. less than or equal to 3 
C. less than 4
D. less than or equal to 2

Question 70. The expressions y + X3   + yx and Y3  +  Y2  + x are equal if

A. y=0 
B. x2 =1 
C. y + x3 = x+ y3
D. x2 = 2

Question 71. It is possible to fill in the remaining squares in the figure so all rows and all the columns have the same sum.  That would be the entry in the middle square?

A. 0
B. 5
C. 8
D. 12

15

 

10

 

 

 

 

25

 

Question 72. If m and n are integers and = 10 Which of the following cannot be the value of  m + n

A. 29
B.  25
C. 52
D. 50

Question 73. A man has a job which requires him to work 8 straight days and then rest  on the ninth day If he started work on the Monday, the 12th time he rests will be on what day of the  week?

A. Sunday
B.  Wednesday
C. Tuesday
D. Friday

Question 74. If x is extremely large, then 2x/(1+x) is

A. close to 0
B. extremely large 
C. close to 2
D. greater than 2 but lesser than 3

Question 75. If we know that x>y then which of the following need not be true?

A. -x < -y
B. x + 2 > y + 1 
C. x / 3 > y / 3
D. x2 > y2

Question 76. If x and y are positive integers, then what is the smallest value of x+y such that 2x+5y is divisible by 16?

A. 7
B. 3 
C. 10
D. 5

Question 77.

   a                                                 x        b
The above figure shows the graph of a relation between x and y.  For each value of x between a and b  there is (are)

A. at least one value of y
B.  exactly one value of y
C. at least ‘a’ value of y
D. exactly ‘a’ values of y

Question 78. Define prq = p2 + q2 and psq= p2=q2, then the value of (5r2) s25 is

A. 216
B. 126 
C. 154
D. 121

  DIRECTIONS for questions 79 and 80 :[ Refer to the data below]

(x) = Least integer greater than or equal to x
[x] = Greatest integer less or equal to x]
çxç = absolute value of x

Le   (a,b,c…….) = Least of a,b,c,……..
Lo     (a, b,c…..) = Highest of a,b,c…….
Question 79.

If x is any positive real number then the value of [x] - çxç is

A. 0
B. 1 
C. -1
D. -1 or 0

Question 80. Which of the following is true?

A. [lxl] = l[x]l
B. [lxl]< l[x]l
C. [lxl]> l[x]l
D. None of these

  DIRECTION for questions 81 to 83: are based on the following instruction

Divide the unit square into 9 equal squares by means of 2 pairs of lines parallel to the sides.  Remove central square.  Treat the remaining squares in the same way.  Then
Question 81. Area left after 2 steps is equal to

A. 64/81
B. 46/54 
C. 82/92 –17
D. None of these

Question 82. Length of the small square after 3 steps is

A. 1/27
B.  1/9
C. 1/93
D. None of these

Question 83. If n is very large, then sum of the areas of removed squares after ‘n’ steps is

A. 0
B.  1
C. approaches
D. approaches to 1

 

DIRECTIONS    for questions 84 to 86: Refer to the data below.

Greatest common divisor of a,b,c,f(n) =Total number of natural numbers less than n and relatively prime to n.  Two natural numbers are said to be relatively prime if their GCD is 1.

Question 84. The value of f(p) where p is any prime numer i

A. 1
B. less than or equal to p 
C. greater than p
D. p – 1

Question 85. If one of  a,b,c,d is a prime number then the value of (a,b,c,d)

A. always 1
B. Greater than1 
C. a prime number or 1
D. None of these

Question 86. If n is any integer, which of the following must be true?

A. 3 n + 1 is odd
B. n(n+2) is even 
C. n (3n + 3) is divisible by 6
D. n(n + 1) is divisible by 3

 

DIRECTIONS for questions 87 to 90: Each question below is followed by two statements.

Mark A if statement I alone, but not statement II alone is sufficient to answer the question
Mark B  if statement II alone, but not statement I alone, is sufficient to answer the question
Mark C if the question can be answered with the help of both statements together, but not with the help of either statement alone.
Mark D if the question cant be answered unless more information is provided.

 

Question 87.

What is the average of 2 brothers Ram and Shyam’s age?
I.  The average of the rest of the family  is 40
II. The  overall averages of the family is 35

A.
B.  
C.
D.

Question 88. A box containing only 50 paise coins and 25 paise coins has a total sum of Rs.20.  What is the no. of each of these coins?

I.              The total no of coins is 50
II.         If there were 10 more 50 paise coins, the sum will increase by 25%

A.
B.  
C.
D.

Question 89. Is x < y
I. 1/x = -1/y
II.1/xp  > 1/yp ; ‘p’ is odd

A.
B.
C.
D.

Question 90.



If D1 and D2 are the diameters of the outer and inner circles respectively, that is D1:D2?
I.     The two circles are concentric
II. The area of the ring is 2/3 the area of the greater circle.

A.
B.  
C.
D.

 

DIRECTIONS  for questions 91 to 93: Read the following and answer the questions that follow.

In the league below each team played each other team once, two points were awarded for a win, one for a draw.

 

Matches
Played

Matches
Won

Matches
Drawn

Matches
Lost

Goals
For

Goals
Against

Points

Giants

Top Gun

Fighters

Challengers

3

3

3

3

2

2

0

0

1

0

2

1

0

1

1

2

4

3

0

1

1

1

2

4

5

4

2

1

 

Question 91. What was the score in the match between Giants and Challengers?

A. 2 – 1
B. 3 – 1 
C. 3 – 0
D. 2  – 0

Question 92. What was the score in the match between Top Gun and Fighters?

A. 2 – 1
B. 3 – 1
C. 2 – 0
D. 1- 0

Question 93. What was the score in the match between Giants and Top gun?

A. 2 – 1
B. 2 – 0
C. 0 – 1
D. 1 – 0

Question 94. A shopkeeper introduces two schemes for his customers during Diwali festival on a T.V whose price is marked at Rs. 15,000.  In the first scheme he sells the T.V set at a discount of 20% and in the second scheme he sells it at a down-payment of Rs.5000 and 3 installments of Rs.4000 each at an interval of a year.  If he invests his money at simple interest of 10% then which offer features him more money and how much?

A. Scheme I, Rs.600
B. Scheme II, Rs.600 
C. Scheme II, Rs.800
D. Scheme I, Rs.800

Question 95. In a competitive exam of 200 questions with five alternatives student marks 1 as an answer to all the questions.  What is his probable net score if each right answer scores +1 and each wrong answer is given     –1/4 marks?

A. 0
B. 40
C. 20
D. 30 

 

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