Maths Questions

# CLAT 2016 Maths Questions with Answers

**Direction for Questions 91-110: Choose the most appropriate option:**

91.
The number of 'three-digit numbers' which are multiples of 9 are:

(a) 98 (b) 101

**(c) 100**(d) 99
92.
The value of a machine depreciates every year at the rate of 10% on its
value at the beginning off that year. If the present value of the machine is Rs. 729, its worth
three years ago was:

(a) Rs. 947.70

**(b) Rs. 1,000**
(c) Rs. 750.87
(d) Rs. 800

subtended by the Major segment at the center of the circle.

(a) Greater than
(b) Not related to

(c) Equal to

**(d) Lesser than**
94.
What is the sum of all the natural numbers from 1 to 100?

(a) 5000

**(b) 5050**
(c) 6000
(d) 5052

95.
A part of monthly hostel charges is fixed and the remaining depends on
the number of days

One has taken food in the mess. When a student A takes food for 20 days,
she has to pay

Rs. 1000 as hostel charges whereas a student B, who takes food for 26
days, pays Rs. 1180 as

Hostel charges. Find the fixed charges and the cost of food per day.

(a) 300, 30
(b) 400, 40

(c) 200, 20

**(d) 400, 30**
96.
A library has an average of 510 visitors on Sundays and 240 on other
days. What is the average number of visitors per day in the
month of June beginning with a Sunday?

(a) 250s
(b) 280

**(c) 285**(d) 276

97. 12 defective pens
are accidentally mixed with 132 good ones. It is not possible to just look at a

Pen and tell
whether or not it is defective. One pen is taken out at random from this lot.

Determine the probability that the pen
taken out is a good one.

(a) 7/12

**(b) 11/12**
(c) 10/12
(d) 9/12

98.
A man earns Rs. 20 on the first day and spends Rs. 15 on the next day.
He again earns Rs. 20 on the third day and spends Rs. 15
on the fourth day. If he continues to save in this way, how soon
will he have Rs. 60 in hand?

(a) On 27th day
(b) On 24th day

(c) On 12th day

**(d) On 17th day**
99.
60 kg of an alloy X is mixed with 100 kg of an alloy Y. If alloy X has
lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio
of 1:4, then the amount of tin in the new alloy is

(a) 53 kgs. (b)
80 kgs

(c) 36 kgs.

**(d) 44 kgs.**
100.
Two consecutive even positive integers, sum of the squares of which is
1060 are:

(a) 12 and 14

**(b) 22 and 24**
(c) 20 and 22
(d) 16 and 18

101.
The traffic lights at three different signal points change after every
45 seconds, 75 seconds and

90 seconds respectively. If all change simultaneously at 7:20:15 hours,
then they will change

Again simultaneously at

(a) 7:27:30 hours
(b)
7:28:00 hours

(c) 7:27:50 hours

**(d) 7:27:45 hours**
102.
A circular park, 42 m in diameter, has a path 3.5 m wide running around
it on the outside.

Find the cost of gravelling the path at Rs. 4 per m2

(a) Rs. 1672
(b) Rs. 1652

**(c) Rs. 2002**(d) Rs. 2048

103.
A train which is moving at an average speed of 40 kmph, reaches its
destination on time. When

Its average speed reduces to 35 kmph, then it reaches its destination 15
minutes late. The

Distance travelled by the train is:

(a) 80 kms
(b) 40 kms

**(c) 70 kms**(d) 30 kms

104.
4 the mean of 72 items was found to be 6(c) If two of the items were
misrecorded as 27 and 9

instead of 72 and 90 respectively, find the correct mean.

**(a) 64.75**(b) 64.25

(c) 63.25
(d) 65.75

105.
A man buys Rs. 20 shares paying 9% dividend. The man expects to have an
interest of 12% on

his money. The market value of each share is

(a) Rs. 18

**(b) Rs. 15**(c) Rs. 12 (d) Rs. 21
106.
A patient in a hospital is given soup daily in a cylindrical bowl of
diameter 7 cm. If the bowl is

filled with soup to a height of 4 cm, how much soup the hospital has to
prepare daily to serve

250 patients?

(a) 40 litres
(b) 38 litres

**(c) 38.5 litres**(d) 39.5 litres

107.
The angles between the hands of a clock when the time is 4:25 am is:

(a) 14½ degrees
(b) 12½ degrees

**(c) 17½ degrees**(d) 13½ degrees

108.
A shop gives 15% discount on the purchase of a T.V. If paid for in cash
immediately, a further

discount of 12% is given. If the marked price is Rs. 15,000, what is the
price of the T.V if cash

purchase is made?

(a) Rs. 12,750

**(b) Rs. 11,220**
(c) Rs. 10,950
(d) Rs. 11,475

109.
If a boy is standing at the top of the tower and another boy is at the
ground at some distance

from the foot of the tower, then the angle of elevation and depression
between the boys when

both look at each other will be

(a) Angle of elevation will be greater

(b) Cannot be predicted for relation

(c) Angle of depression will be greater

**(d) Equal**

110.
If the product of zeroes of the polynomial ax2 - 6x - 6 is 4, find the
value of 'a'

**(a) -3/2**(b) -1/2 (c) 3/2 (d) ½

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