Q26. A racehorse starts chasing a wild pony 3 hours after the pony bolts the stable. The pony runs through the entire country of Alb. Texas jumping 3 streams and crossing four 10 meter roads. The racehorse finally catches up with the pony after four hours by the time the sun had set and the moon was up in the sky for 4 hours. If the average speed of the racehorse is 73kmph then average speed of the wild pony is ?
a) 54.75 kmph
b) 42.71 kmph
c) 31.29 kmph
d) 41.71 kmph
Ans. D
Explain : Distance covered by horse =73*4=292
Total time taken by = 3hr+4hr =7hr
Speed of pony =292/7 = 41.71
Q27.
On planet Korba, a solar blast has melted the ice caps on its equator. 9 years
after the ice melts, tiny planetoids called echina start growing on the rocks.
Echina grows in the form of circle, and the relationship between the diameter
of this circle and the age of echina is given by the formula, d = 4*√ (t-9) for
t ≥ 9, where d represents the diameter in mm and t, the number of years since
the solar blast. Anubhav recorded the radius of some echina at a particular
spot as 7mm. How many years back did the solar blast occur ?
a) 17
b) 21.25
c) 12.25
d) 12.06
Ans. B
Explain : It is given that radius=7mm.
So diameter= 14mm.
Put, d=14 in equation, we get, t=21.25
Q28.
Mr Behera wants to build a house for his wife. In his dream house there are 5
rooms each having equal area. The length of each room is 4 m, breadth is 5 m
and the height is 2m. For every single unit of area, he requires 17 bricks, how
many bricks are required to make the floor of a particular room ?
a) 340
b) 420
c) 280
d) 400
Ans. A
Explain : Area=54 (l*b)=20
sqm
1 sqm=17 bricks
So,20 sqm=20*17=340 bricks
Q29.
Jenny made a block with small cubes of 9 cubic cm volume. To make the block she
used 4 small cubes long, 8 small cubes wide and 16 small cubes deep. She
realizes that she has used more small cubes than she really needed. She
realized that she could have glued a fewer number of cubes together to look
like a block with same dimensions, if it were made hollow. What is the minimum
number of cubes that she needs to take out so that the bigger cube is hollow ?
a) 344
b) 512
c) 168
d) 342
Ans. C
Explain : The tot. vol. of solid = 4*8*16=
512
The tot. vol. of hollow = (4-2)(8-2)(16-2)
= 168i
means that, 168 smaller cubes must be removed from the cube in order to make a
hollow block.
The tot. vol. of solid = 4*8*16=
512
The tot. vol. of hollow = (4-2)(8-2)(16-2)
= 168i
means that, 168 smaller cubes must be removed from the cube in order to make a
hollow block.
Q30.
Rahul buys an article at Rs.15850 from the retailer who sells it at a profit of
15 %. The retailer bought it from a wholesaler who sold it at a profit of 20 %.
The manufacture sold it at a profit of 30 % to the wholesaler. Find the cost
price of manufacturing the article (approximately) ?
a) 8835
b) 15000
c) 12192
d) None of these
Ans. A
Q31.
The points A (-5,4), B (-7,6) and C (5,2) are the co-ordinates of a right
angled triangle. Which of the following angle is a right angle ?
a) A
b) B
c) C
d) cannot be determined
Ans. A
Q32.
If Tarun buys only pens costing Rs. 13 each or only pencils costing Rs. 5 each,
he is left with Rs. 2 in each case. Which of the following cannot be the amount
available with him ?
a) 457
b) 782
c) 577
d) 1042
Ans. C
Q33.
Kailash faces towards North. Turning to his right, he walks 25 meters. He then
turns to his left and walks 30 meters. Next, he moves 25 meters to his right.
He then turns to his right again and walks 55 meters. Finally he turns to the
right and moves 40 meters. In which direction is he now from his starting point
?
a) South-West
b) South
c) North-West
d) South-East
Ans. D
Q34.
Vodafone has come up with a new scheme “Pay Easy”. They have decided to charge
the first 100 calls of a Pay Easy customer @Rs.1/-call, the next 100 calls
@Rs.1.25/-call and the next 100 calls @Rs.1.75/-call. Raj is a Pay Easy
customer. He paid Rs.286.25/- as his mobile bill that month. How many calls did
Raj make ?
a) 243
b) 241
c) 242
d) 235
Ans. D
Q35.
Isha bought two varieties of rice costing 50rs per kg and 60 Rs per kg and
mixed them in some ratio. Then, she sold that mixture at 70 Rs per kg making a
profit of 20 % What was the ratio of the mixture?
a) 1:10
b) 3:8
c) 1:5
d) None of these
Ans. C
Q36.
The difference between the ages of two of my three grandchildren is 3. My
eldest grandchild is three times older than the age of my youngest grandchild
and my eldest grandchild’s age is two years more than the ages of my two
youngest grandchildren added together. How old is my eldest grandchild ?
a) 12
b) 13
c) 10
d) 15
Ans. D
Q37.
A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You
throw a dart at it and it hits the dartboard at some point Q in the circle.
What is the probability that Q is closer to the centre of the circle than the
periphery ?
a) 1/3
b) 1/2
c) 3/4
d) 1/4
Ans. D
Q38.
The citizens of planet nigiet are 8 fingered and have thus developed their
decimal system in base 8. A certain street in nigiet contains 1000 (in base 8)
buildings numbered 1 to 1000. How many 3s are used in numbering these buildings
?
a) 75
b) 64
c) 192
d) 102
Ans. C
Q39.
After the typist writes 12 letters and addresses 12 envelopes, she inserts the
letters randomly into the envelopes (1 letter per envelope). What is the
probability that exactly 1 letter is inserted in an improper envelope ?
a) 11/12
b) 0
c) 1/12
d) 1/6
Ans. B
Q40.
The sum of 5 numbers in AP is 30 and the sum of their squares is 190. Which of
the following is the third term ?
a) 5
b) 6
c) 8
d) 9
Ans. B
Q41.
The least number which when divided by 48, 60, 72, 108 and 140 leaves 38, 50,
62, 98 and 130 as remainders respectively, is :
a) 4592
b) 15110
c) 2135
d) 7589
Ans. B
Q42.
How many parallelograms are formed by a set of 4 parallel lines intersecting an
other set of 7 parallel lines.
a) 125
b) 126
c) 127
d) 128
Ans. B
Q43.
1/3 of a number is 6 more than 1/6 of that number then what is the number?
a) 12
b) 36
c) 24
d) 48
Ans. B
Q44.
Consider a class of 40 students whose average weight is 40 kgs. m new students
join this class whose average weight is n kgs. If it is known that m + n = 50,
what is the maximum possible average weight of the class now ?
a) 40.18
b) 40.56
c) 40.67
d) 40.49
Ans. B
Q45.
A person starts writing all 4 digits numbers.how many times had he written the
digit 2?
a) 4200
b) 4700
c) 3700
d) None of these
Ans. C
Q46. George
and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry
and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8
days. The total number of boxes painted by them ?
a) 252
b) 516
c) 348
d) 492
Ans. C
Q47.
Raj invested in Indigo, HUL and SBI shares at Rs. 300, Rs. 200 and Rs. 5 per
share, 100 shares for Rs. 10000. The number of Indigo and HUL shares he bought
are
a) 15,25
b) 23, 17
c) 17, 23
d) 17, 60
Ans. C
Q48.
Determine the distance between the x-intercept and the z-intercept of the plane
whose equation is
2x+9y-3z=18
a) 6.32
b) 10.82
c) 3
d) 5
Ans. B
Q49.
Joe counts 48 heads and 134 legs among the chicken and dogs in his farm. How
many dogs does he have ?
a) 29
b) 21
c) 18
d) 19
Ans. D
Q50.
A bag contains 20 yellow balls, 23 green balls, 27 white balls. How many
minimum balls one should pick out so that to make sure he gets at least 2 balls
of all color ?
a) 48
b) 52
c) 60
d) 68
Ans. B
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