Cts 2017

CTS 2017
C.S.VEERARAGAVAN
9894834264

Profit / Loss
88. A vendor bought 15 oranges at Rs.36 for 5 oranges and
sold all of them at four oranges for Rs.45.
How much did the vendor earn or lose in this transaction?
a)Profit Rs.75.90 b) Profit of Rs.60
c)Profit Rs.4.05 per orange d) None of these
Cost price = 36 * 15/5 = Rs.108
Selling price = 15 * 45/4 = Rs.168.75
Profit = 168.75 – 108 = Rs.60.75
Profit per orange = Rs.4.05
88

Fractions
89. A car engine is half filled and holds 15 litres of petrol.
What fraction of the engine is full if it has 18 litres of petrol?
a) 1/4 b) 2/3 c) 2/5 d)3/5
Total capacity = 30 litres
Fraction of full = 18/30 = 3/5
89

Pipes and Cistern
90 A water pump takes 6 hours to fill an over head tank.
Standby pump takes 10 hours to fill the same over head
tank.
If first pump fails after 2 hours of running, then how long will
the stand by pump take to fill the overhead tank?
a) 6 hrs b) 8 2/3 hrs c) 8 hrs d) 6 2/3 hrs
Let the total capacity of the tank be 30 units.
So main pump can fill 30/6 = 5 units per hour and standby
can fill 30/10 = 3 units per hour.
In 2 hrs, main pump fills 2 *5 = 10 units.
So 20 units remaining.
Which can be filled by standby pump in 20/3 = 6 2/3 hrs.
90

Profit & Loss
91 A show room offers 10% discount on a microwave,
whose marked price is Rs.8000 and also gives a blender
worth Rs.1200 as a complimentary gift with it.
Even then, the show room earns a profit of 20%.
The cost price per microwave is
a) Rs.7200 b) Rs.6000 c)Rs.5000 d) Rs.4000
S.P = M.P – Discount = 90% of 8000 = 7200
Exact S.P = 7200 – 1200 = Rs.6000
Profit = 20%
C.P = 6000 * 100/120 = Rs.5000.
91

Profit & Loss
92 The printed price on a book is Rs.400, a bookseller
offers a 10% discount on it.
If he still earns a profit of 20%, then the cost price of the
book is
a) Rs.280 b)Rs.352 c)Rs.360 d)Rs.300
S.P = M.P – Discount
S.P = 90% of 400 = Rs.360
Profit = 20%
C.P = 360 * 100/120 = Rs.300
92

Simple Interest
93 A certain sum of money amounts to Rs.2,500 in a span
of 5 years and further to Rs.3000 in a span of 7 years at
simple interest. The sum is
a) Rs.1000 b)Rs.1200 c)Rs.1050 d)Rs.1250
2 years S.I = 3000 – 2500 = 500.
1 year S.I = 250
5 years S.I = 1250
Principal = 2500 – 1250 = Rs.1250
93

Fractions
94 Sara has 400 marbles.
If she gives 1/5th of her marbles to Sam and
Sam gives 3/4th of his marbles to David, then
How many marbles does Sam have left?
a)80 b)20 c)60 d)200
1/5th of marble = 1/5 * 400 = 80.
After giving to David, Sam has 1/4th of marbles = ¼ * 80 =
20
94

Probability
95 In a game show there are 5 prize cards and 20 blank
cards.
A contestant is asked to choose a card at random.
What is the probability that he won a prize?
a)3/5 b)2/5 c)1/5 d)4/5
Required probability = 5/25 = 1/5
95

Powers and Indices
96 Find the value of x if 82x / 8-5 = 87.
a)1 b)0 c) -1 d)None of these
2x + 5 = 7
X = 1
96

Ratio & Proportion
97 A bag contains 1 rupee 2 rupees and 5 rupees coins in
the ratio 4:8:5.
The total amount was Rs.90.
The number of 5 rupee coin was
a) 8 b) 10 c) 12 d) 11
Total = 4x + 16x + 25x = 45x = 90
X = 2
No of 5 rupee coins = 50/5 = 10
97

Divisibility
98 What are the values of X and Y in 72x23y, if it is
perfectly divisible by 88?
a)X = 7, Y = 2 b) X = 7, Y = 5
c) X = 2, Y = 2 d) X=2, Y = 4
Since it is divisible by 11, we have
(7 + x + 3) – (2 + 2 + y) = 11k
6 + x – y = 11k
Since it is divisible by 8, we have 23y = 8t
Y = 2
Hence X = 7
98

Percentage
99. Zegna car was in rage two years back and it cost
Rs.5,60,000 then.
Now however with many new hi-tech cars coming into the
market, the price of the car has dipped to Rs.4,00,000.
Find the decrease in price of the car as a percentage of the
old price.
a)28% b) 28.57% c)40% d)71.42%
Percentage change = 160000/5,60,000 = 28.57%
99

Probability
100 A bag contains 6 green, 3 black, 5 yellow and 2 blue
balls.
Find the probability that a ball drawn at random is black or
yellow.
a)1/2 b)5/16 c)7/16 d)1/3
Probability = 8/16 = ½
100

Equation
101 Sawroop draws a certain amount of money from the
ATM machine.
Number of Rs.500 notes are double the number of Rs.100
notes.
Which of the following can be the possible amount drawn?
a)5,000 b)8,800 c)10,000 d)9,500
Let the no of Rs.500 notes be x.
Let the no of Rs.100 notes be y
Given x = 2y.
Hence total value is 5x + y = 11y.
Possible amount = 8,800.
101

Logarithms
102 If Log102 = 0.3010, find the value of log1025
a)1.2 b)1.3 c)1.4 d)1.5
Log1025 = 5 * 0.3010 = 1.505
102

Problems on Trains
103 A train travelling at 250 kmph overtakes a cyclist who is
travelling at 10 kmph in 45 seconds.
What is the length of the train in metres?
a)3,000 m b)5,400 m c) 6,000 m d) 10,800 m
Relative speed = 250 – 10 = 240 kmph
= 250 * 5/18
= 200/3 m
Length of the train = 200/3 * 45 = 3000 m.
103

Fractions
104 Sudha purchased 3 kg potato from market.
She used 1/3 of it in cooking baked potatoes and ½ of
remaining in mixed vegetables.
What quantity of potatoes is she left with?
a)1.5Kg b)2 Kg c) 1 Kg d) 2.5 Kg
Potatoes used for cooking baked = 1 Kg.
Used in mixed vegetables = 1 Kg
Quantity left with = 1 Kg
104

Surds & Indices
105 Write 1008 as a mixed surd
a) 12 7 b)7 14 c) 7 12 d)7 13
1008 = 144 * 7
1008 = 12 7
105

Numbers
106 Find the number to be multiplied by (-6)-1 so as to get (-
8)-1 as the product?
a) ¾ b) – (3/4) c) (3/4) d) – (4/3)
(-8)-1 = - 1/8
(- 1/8) * (-6/1) = 6/8 = 3/4
106

Profit & Loss
107 Maithili purchased a walkman from her friend.
She then sold it for Rs.90.
Had it been sold for Rs.105, the gain would have been 1/4th
of the former loss.
What is the cost of the walkman?
a)Rs.82 b)Rs.102 c)Rs.114 d) Rs.126
Let the purchase price be x.
(x – 90)/4 = 105 – x
X- 90 = 420 – 4x
X = 510/5 = 102
107

Surds & Indices
108 The value of (1/512)1/9 is
a)1/2 b)1/3 c)1/4 d)1/6
1/512 = 2-9.
(2-9)1/9 = 2-1 = 1/2
108

Percentage
109 A store has a banner of 25% off on MRP of all branded
items.
Sheetal goes into the store and buys a belt worth Rs.75, a
shirt of Rs.1,999 and a shawl of Rs.2,900.
How much amount will she have to pay?
a)Rs.1243.50 b)Rs.1240
c)Rs.3,700 d)Rs.3,730.50
Total S.P = 75 + 1999 + 2900 = Rs.4974
Total she has to pay = 4974 * 75/100 = Rs.3730.50
109

Numbers
110 What is the unit digit in 2720?
a)1 b)5 c)12 d)20
Since power is multiple of 4 and base is odd number other
than 5, the unit digit is 1
110

Remainder
111 A number was divided by 8,7,6,5 successively and
gave the remainder 1,2,3,4.
The number is
a) 3208 b)3209 c)3210 d)3334
As 8 is an even number and the remainder is 1, the number
should be odd.
The Only odd number in the choice is 3209.
111

Probability
112 10 scooters, 5 motor cycles and 15 cars are parked in
the parking area of a market.
What is the probability that a scooter will leave the parking
first?
a) 1/6 b) ½ c) 3/5 d) 1/3
Probability = 10/30 = 1/3
112

Surds and Indices
113 Solve (13-1 + 14-1 + 15-1)0
a)0 b)1 c) – 1 d)None of these
Answer is 1
113

Numbers
114 If there are 150 babies born every minute, how many
babies share the same birth date world wide?
a)2,24,000 b)2,16,000 c)2,25,000 d)2,18,000
Total no of minutes per day = 60*24 = 1440 minutes
Total no of babies = 1440 * 150 = 216000
114

Mensuration
115 A rectangle’s length is four times its breadth.
It has an area of 2500 square yards.
What is the length of the rectangle.
a) 25 yards b) 100 yds c) 625 yds d) 5 yds
L = 4B
Area = 4B2 = 2500
B2 = 625
B = 25
L = 100 yds
115

Permutation & Combination
116 The number of 5-digit odd numbers that can be made
from number 12345 are
a) 24 b)32 c)64 d)72
In the unit digit 1,3,5 can be present.
No of ways = 3 * 4 * 3 * 2 * 1 = 72
116

Numbers
117 The number 456*85 is completely divisible by 3.
Smallest whole digit number in place of * can be
a) 0 b) 1 c) 2 d) 3
4 + 5 + 6 + 8 + 5 = 1 (digital root)
Smallest whole digit number in place of * is 2
117

Probability
118 A software engineer creates a LAN game where an
eight digit code made up of 1,2,3,4,5,6,7,8 has to be
decided on as universal code.
There is a condition that each digit has to be used and no
digit is to be repeated.
What is the probability that the first 4 digits of the code are
even digits?
a) 1/70 b) 1/840 c) 1/8 d) 1/40320
Total possible numbers = 8!
The first four digits can be even in 4! * 4! Ways.
Required probability = (4! * 4!) / 8!
=170
118

HCF & LCM
119 The reciprocal of HCF & LCM of two numbers are 1/12
& 1/312 respectively.
If one of the numbers is 24, find the other one.
a) 156 b)468 c) 117 d) 234
The second number is reciprocal of (1/12) * (1/312) *24 =
156
119

Problems on Trains
120 A train runs at a speed of 42 m/s and takes 35 seconds
to pass a tunnel.
After travelling some distance, it takes 15 seconds to pass
a pole.
What is the length of the tunnel?
a) 162m b) 630m c) 840m d) 240m
Length of the train = 15 * 42 = 630 m
Time taken to pass the tunnel =
630+length of tunnel
42
= 35
Length of tunnel = 42 * 35 – 630
= 1470 – 630
= 840m
120

Equation
121 Sandhya and Bhagya are having the total amount of
12000.
In that amount Bhagya has deducted 3600 as less as
Sandhya.
So what is their shared amount?
a) 2800 b) 3600 c) 4800 d) 9600
Bhagya and Sandhya deducted 3600 each from the
amount 12000.
Shared amount = 12000 – 3600 – 3600
= 4800
121

Percentage
122 The difference between a discount of 35% and two
successive discounts of 20% and 20% on a certain bill was
Rs.22.
Find the amount of the bill.
a) Rs.1800 b)Rs.1200 c)Rs.2200 d)None of these
Two successive discounts = - 20 – 20 + (20 * 20/100)
= - 40 + 4
= - 36
Difference between 35% and 36% is 1%
Amount of Bill = 100 * 22 = 2200.
122

Logarithm
123 What is the value of log39 – log4256 + log5125?
a) 0 b) 0.5 c) 1 d) None of these
Log39 = 2 log33 = 2
Log4256 = 4 log44 = 4
Log5125 = 3 log55 = 3
2 – 4 + 3 = 1
123

Ratio & Proportion
124 x varies inversely as the square of y.
Given that y = 2 for x = 1, the value of x for y = 6 will be
equal to
a)3 b)9 c)1/3 d)1/9
Given xy2 = k.
When x =1, y = 2.
K = 4
For y = 6, 36x = 4.
X = 1/9
124

Ratio & Proportion
125 How many toffees were distributed in total among
Ankit, Aniket and Anuj in the ratio 2:3:7, if Aniket receives
84 toffees in total?
a)300 b)312 c)324 d)336
2x + 3x + 7x = 12x
3x = 84
X = 28
Total toffees = 12 * 28 = 336
125

Decimals
126 What is Z in
0.196
Z
2
= 10?
Z2 = 0.196/10 = 0.0196
Z = 0.14
126

Divisibility
127 Which one of the following numbers is exactly divisible
by 11?
a) 235641 = (2 + 5 + 4) – (3 + 6 + 1) = 1
b) 245642 = (2 + 5 + 4) – (4 + 6 + 2) = 1
c) 315624 = (3 + 5 + 2) – (1 + 6 + 4) = 1
d) 415624 = (4 + 5 + 2) – (1 + 6 + 4) = 0
127

The number of ways in which 15 students A1,A2,…A15 can
be ranked such that A4 is always above A8 is
a) 15! b) 13! c) 15! / 2 d) 13! / 2
When A8 is in 2nd position A4 can occupy only 1st.
When A8 is in 3rd position A4 can occupy only 1st or 2nd.
Number of ways in which A4 and A8 can be arranged = 1 +
2 + …+14 = 14 * 15 /2
In the remaining 13 positions other students can be
permuted in 13! ways.
Hence total number of ways = 13! * 14 * 15/2 = 15! / 2
128

Logarithms
The value of log100.1 is
a) – 1 b) 0 c) – 10 d) - 100
129

A written exam consists of 6 questions with the answer
options as yes/no/none.
In how many ways can the examinees select the answers?
a)36 b) 63 c) 33 d) 66 .
There are 3 options for each question.
As selecting answer for each question is independent of
other, total ways = 36.
130

Numbers
P is an integer.
P > 883.
If (p – 7) is a multiple of 11,
then the largest number that will divide (p + 4)(p + 15) is
a) 11
b) 121
c) 242
d) None of the above.
As (p – 7) is a multiple of 11, p = 11k + 7
(p + 4)(p + 15) = (11k + 11)(11k + 22)
= 121(k + 1)(k + 2)
Either k+1 or k + 2 will be even. Hence 2 will be one of the factor.
131

Surds & Indices
Choose the correct answer. 28 * 22.
a) 410 b) 210 c) 216 d) 416 .
132

Compound Interest
Sangeetha invested Rs.20000 at 8% per annum.
If the interest is compounded half yearly, then total interest
earned by Sangeetha at the end of the year is
a) Rs.1262 b) Rs.1386
c) Rs.1420 d) Rs.1632
Principal = 20000(1.04)2 – 20000
= 20000(2.04)(0.04)
= 1632
133

Probability
Ritu has 3 shirts in shades of red, 4 in yellow shades and 5
in green shades.
Three shirts are picked at random with replacement.
The probability that all of those are in red shades is
a) 1/32 b)1/64 c)1/28 d)1/52
Probability of picking a red shirt = 3/12 = ¼
Required probability = ¼ * ¼ * ¼ = 1/64
134

Percentage
If Anita scores 66 out of 100, then how much does she
score out of 75?
a) 66 b) 60 c) 50 d) 45
66% of 75 = 49.5 = 50 (approx).
135

Time & Distance
Ram and Ravi were playing with a paper phone, frustums
of which are attached to each other by 95m long string.
If both start moving in opposite direction at a speed of
18m/min and 20 m/min resp, after how many minutes will
both have to stop?
a) 2 min b) 3.5 min c) 3 min d) 2.5 min
Time taken = 95/(20 + 18) = 2.5min
136

Numbers
The number obtained by interchanging the two digits of a
two – digit number is more than the original number by 27.
If the sum of the two digits is 13, what is the original
number?
a) 63 b)58 c) 74 d) 85
(10x + y) – (10y + x) = 9(x – y) = 27
x – y = 3
x + y = 13 (given)
x = 8 and y = 5
Original number should be 58.
137

Probability
A bird can lay up to five rounded white eggs.
Suppose the bird lays two eggs, what is the probability that
that first egg hatched is female bird and
the second egg hatched is a male bird?
a) ¼ b) ½ c)3/4 d)2/3
As it lays two eggs, the possibilities are FF, FM, MF, MM.
Reqd Prob = ¼.
138

Logarithm
Which of the following is log8x equivalent to?
a) (log2x)/3
b)(log2x)3
c) (log x)3
d) None of these.
Log8x = 1/(logx8)
= 1/(3logx2)
= (1/3)log2x
139

Simple Interest
The simple interest on Rs.10 for 4 months at the rate of 3
paise per rupee per month is
a)Rs.1.00 b)Rs.2.70 c)Rs.1.20 d)Rs.1.50
S.I = (10 * 4 * 0.03)/100
= Rs.1.20
140

Percentage
In annual sale, there was a flat discount of 40%
141

Factorial
What is the highest power of 8 contained in 80!?
a)11 b)26 c)32 d)18
8 = 23
Power of 2 in 80! = 80/2 + 80/4 + 80/8 + 80/16 + 80/32 +
80/64
= 40 + 20 + 10 + 5 + 2 + 1
= 78
Highest power of 8 = 78/3 = 26.
149

Percentages
The price of sugar is increased by 25%.
In order not to increase the expenditure a lady must reduce
her consumption by
a) 25% b) 20% c) 22.5% d)None of these
150

Problems on Trains
Ratio of speed of two trains is 5:3.
If the first train runs 350km in 2 hrs,
then the speed of the second train is
a) None of these b) 90 kmph c) 120 kmph d) 105
kmph
Let speeds be 5x, 3x
Speed of first train = 175 kmph which is 5x
X = 35 kmph
Speed of second train = 3x = 105 kmph
151

Logarithms
If log107 = a, then log10(1/70) is equal to
Log10(1/70) = - log10(7 * 10)
= - log107 – 1
= - a - 1
152

Logarithms
What is the value of antilog10100?
a)2 b)10100 c)100 d)10
10100.
153

Logarithms
If log10000x = - ¼, then x is
10000(-1/4) = 1/10 = x
154

Equations
Code A has to execute 4n2 + 64 program statements, while
Code B has to execute 32n program statements for a
problem of size n.
The time for executing a single program statement is same
for all statements.
Rajesh was given a problem with a certain size k and he
delivered Code A.
What could be the possible value of k?
a) 3 b) 4 c) 5 d) 10
155

Cts 2017

More Related Content

What's hot (20)

Viewers also liked (17)

Similar to Cts 2017 (20)

More from Veeraragavan Subramaniam (20)

Recently uploaded (20)

Cts 2017