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Recent questions tagged cat1997
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41
CAT 1997 | Question: 144
These questions are based on the following data: A thief flees City $A$ in a car towards City $B$ on a stretch of straight road, $300$ kilometres long, at the speed of $60$ km/hr. In $15$ minutes a police party (X) leaves city $A$ to chase the thief at $65$ km/hr. ... the police party $X$ to catch the thief'? $2$ hrs $45$ min $3$hrs $3$ hrs $15$ mm None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
Jun 2, 2017
by
makhdoom ghaya
7.9k
points
693
views
cat1997
quantitative-aptitude
0
votes
1
answer
42
CAT 1997 | Question: 143
In the given figure, $EADF$ is a rectangle and $ABC$ is a triangle whose vertices lie on the sides of $EADF$. $AE = 22,BE = 6,CF = l6$ and $BF = 2$. Find the length of the line joining the midpoints of the sides $AB$ and $BC$. $4\sqrt{2}$ $5$ $3.5$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
Jun 2, 2017
by
makhdoom ghaya
7.9k
points
179
views
cat1997
quantitative-aptitude
0
votes
0
answers
43
CAT 1997 | Question: 142
In the adjoining figure, points $A, B, C$ and $D$ lie on the circle. $AD = 24$ and $BC =12$. What is the ratio of the area of the triangle $CBE$ to that of the triangle $ADE$? $1:4$ $1:2$ $1:3$ Insufficient data
makhdoom ghaya
asked
in
Quantitative Aptitude
Jun 2, 2017
by
makhdoom ghaya
7.9k
points
210
views
cat1997
quantitative-aptitude
0
votes
0
answers
44
CAT 1997 | Question: 141
Boston is $4$ hours ahead of Frankfurt and two hours behind India. X leaves Frankfurt at $06:00$ p.m. on Friday and reaches Boston the next day. After waiting there for two hours, he leaves exactly at noon and reaches India at $01:00$ a.m. On ... He then proceeds to Frankfurt. What was X's average speed for the entire journey? $170$ mph $180$ mph $165$ mph Insufficient data
makhdoom ghaya
asked
in
Quantitative Aptitude
Jun 2, 2017
by
makhdoom ghaya
7.9k
points
285
views
cat1997
quantitative-aptitude
0
votes
0
answers
45
CAT 1997 | Question: 140
Boston is $4$ hours ahead of Frankfurt and two hours behind India. X leaves Frankfurt at $06:00$ p.m. on Friday and reaches Boston the next day. After waiting there for two hours, he leaves exactly at noon and reaches India at $01:00$ a.m. On ... the same day that he reached there, after how much time would he reach Frankfurt? $24$ hrs $25$ hrs $26$ hrs Insufficient data.
makhdoom ghaya
asked
in
Quantitative Aptitude
Jun 2, 2017
by
makhdoom ghaya
7.9k
points
390
views
cat1997
quantitative-aptitude
0
votes
0
answers
46
CAT 1997 | Question: 139
Boston is $4$ hours ahead of Frankfurt and two hours behind India. X leaves Frankfurt at $06:00$ p.m. on Friday and reaches Boston the next day. After waiting there for two hours, he leaves exactly at noon and reaches India at $01:00$ a.m ... of $180$ miles per hour, what was the distance between Frankfurt and India? $3600$ miles $4500$ miles $5580$ miles Insufficient data.
makhdoom ghaya
asked
in
Quantitative Aptitude
Jun 2, 2017
by
makhdoom ghaya
7.9k
points
286
views
cat1997
quantitative-aptitude
0
votes
1
answer
47
CAT 1997 | Question: 138
At Weird Holiday Company, an employee gets a holiday on those days whose first letter is the same as the first letter of the employee's name. All other days are working days. For instance, William gets a holiday on each Wednesday. Assume that the daily productivity ... when will the work have been completed? March $15, 1996$ March $22,1996$ March $29, 1996$ April $2, 1996$
makhdoom ghaya
asked
in
Logical Reasoning
May 31, 2017
by
makhdoom ghaya
7.9k
points
394
views
cat1997
logical-reasoning
0
votes
1
answer
48
CAT 1997 | Question: 137
At Weird Holiday Company, an employee gets a holiday on those days whose first letter is the same as the first letter of the employee's name. All other days are working days. For instance, William gets a holiday on each Wednesday. Assume that the daily ... ? $26$th February $1996$ $1$st March $1996$ $28$th February $1996$ Tom and Jerry cannot possibly work together
makhdoom ghaya
asked
in
Logical Reasoning
May 31, 2017
by
makhdoom ghaya
7.9k
points
284
views
cat1997
logical-reasoning
0
votes
1
answer
49
CAT 1997 | Question: 136
In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side? $3:2$ $1:3$ $2:5$ $3:4$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
297
views
cat1997
quantitative-aptitude
0
votes
1
answer
50
CAT 1997 | Question: 135
In a triangle $ABC$, points $P, Q$ and $R$ are the mid-points of the sides $AB, BC$ and $CA$ respectively. If the area of the triangle $ABC$ is $20$ sq units, find the area of the triangle $PQR$ $10$ sq. units $15$ sq. units $5$ sq. units None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
320
views
cat1997
quantitative-aptitude
0
votes
1
answer
51
CAT 1997 | Question: 134
The value of each of a set of silver coins varies as the square of its diameter if thickness remains constant, and it varies as the thickness if the diameter remains constant. If the diameters of two coins are in the ratio $4:3$ what should the ratio of their thicknesses be if the value of the first is $4$ times that of the second? $16:9$ $9:4$ $9:16$ $4:9$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
2.1k
views
cat1997
quantitative-aptitude
ratio-proportion
0
votes
0
answers
52
CAT 1997 | Question: 133
$A, B$ and $C$ are defined as follows: $A=(2.000004)\div [(2.000004)^{2}+(4.000008)]$ $B=(3.000003)\div [(3.000003)^{2}+(9.000009)]$ $C=(4.000002)\div [(4.000002)^{2}+(8.000004)]$ Which of the following is true about the value of the above three expressions? All of them lie between $0.18$ and $0.20$. $A$ is twice $C$. $C$ is the smallest. $B$ is the smallest
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
238
views
cat1997
quantitative-aptitude
0
votes
1
answer
53
CAT 1997 | Question: 132
The adjoining figure shows a set of concentric squares. If the diagonal of the innermost square is $2$ units, and if the distance between the corresponding corners of any two successive squares is $1$ unit, find the difference between the areas of the eighth and the seventh square, counting from the innermost square. $10^{2}$ $30$ $35^{2}$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
1.1k
views
cat1997
quantitative-aptitude
0
votes
0
answers
54
CAT 1997 | Question: 131
$ABC$ is a three-digit number in which $A>O$. The value of $ABC$ is equal to the sum of the factorials of its three digits. What is the value of $B$? $9$ $7$ $4$ $2$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
103
views
cat1997
quantitative-aptitude
0
votes
1
answer
55
CAT 1997 | Question: 130
For these questions, the following functions have been defined: $la(x,y,z) = min(x+y, y+z)$ $le (x,y,z) = max(xâ€“y, yâ€“z)$ $ma(x,y,z)=(1/2) [le(x,y,z)+la(x,y,z)]$ For $x = 15, y = 10$ and $z = 9$, find the value of: $le (x, \min(y, xâ€“z), le(9, 8, ma(x,y,z))$. $5$ $12$ $9$ $4$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
253
views
cat1997
quantitative-aptitude
0
votes
0
answers
56
CAT 1997 | Question: 129
For these questions, the following functions have been defined: $la(x,y,z) = min(x+y, y+z)$ $le (x,y,z) = max(xâ€“y, yâ€“z)$ $ma(x,y,z)=(1/2) [le(x,y,z)+la(x,y,z)]$ What is the value of $ma(10, 4, le(la(10, 5, 3), 5,3))$ $7.0$ $6.5$ $8.0$ $7.5$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
111
views
cat1997
quantitative-aptitude
0
votes
0
answers
57
CAT 1997 | Question: 128
For these questions, the following functions have been defined: $la(x,y,z) = min(x+y, y+z)$ $le (x,y,z) = max(xâ€“y, yâ€“z)$ $ma(x,y,z)=(1/2) [le(x,y,z)+la(x,y,z)]$ Given that $x > y > z > 0$, which of the following is necessarily true? $la(x,y,z) < le(x,y,z)$ $ma(x,y,z) < la(x,y,z)$ $ma(x,y,z) < le(x,y,z)$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 31, 2017
by
makhdoom ghaya
7.9k
points
106
views
cat1997
quantitative-aptitude
0
votes
1
answer
58
CAT 1997 | Question: 127
P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is three less than two times R, find the value of R. $5$ $7$ $9$ $11$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
247
views
cat1997
quantitative-aptitude
0
votes
1
answer
59
CAT 1997 | Question: 126
AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If AB is $15$ cm, AC is $12$ cm and BD is $9$ cm, find the area of the quadrilateral ACBD. $54 \pi$ $216\pi$â€‹â€‹â€‹â€‹â€‹â€‹â€‹ $162\pi$â€‹â€‹â€‹â€‹â€‹â€‹â€‹ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
368
views
cat1997
quantitative-aptitude
0
votes
0
answers
60
CAT 1997 | Question: 125
A man earns $x$% on the first $2000$ rupees and $y$% on the rest of his income. If he earns Rs $700$ from Rs $4000$ and Rs $900$ from Rs $5000$ of income, find $x$. $20$ $15$ $35$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
243
views
cat1997
quantitative-aptitude
0
votes
0
answers
61
CAT 1997 | Question: 124
A survey of $200$ people in a community who watched at least one of the three channels â€“ BBC, CNN and DD showed that $80$% of the people watched DD, $22$% watched BBC, and $15$% watched CNN. Referring to the previous question, how many percents of the people watched all the three channels? $3.5$% $0$% $8.5$% Cannot be determined
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
271
views
cat1997
quantitative-aptitude
0
votes
0
answers
62
CAT 1997 | Question: 123
A survey of $200$ people in a community who watched at least one of the three channels â€“ BBC, CNN and DD showed that $80$% of the people watched DD, $22$% watched BBC, and $15$% watched CNN. If $5$% of the people watched DD and CNN, $10$% watched DD and BBC, then what percent of the people watched BBC and CNN only? $2$% $5$% $8.5$% Cannot be determined
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
231
views
cat1997
quantitative-aptitude
0
votes
0
answers
63
CAT 1997 | Question: 122
A survey of 200 people in a community who watched at least one of the three channels â€“ BBC, CNN and DD showed that $80$% of the people watched DD, $22$% watched BBC, and $15$% watched CNN. What is the maximum percent of people who can watch all the three channels? $12.5$ $8.5$ $17$ Insufficient data
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
120
views
cat1997
quantitative-aptitude
0
votes
0
answers
64
CAT 1997 | Question: 121
Which of the following is true? $_{7}^{3^{2}} = (7^{3})^{2}$ $_{7}^{3^{2}} > (7^{3})^{2}$ $_{7}^{3^{2}} < (7^{3})^{2}$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
241
views
cat1997
quantitative-aptitude
0
votes
1
answer
65
CAT 1997 | Question: 120
If $m$ and $n$ are integers divisible by $5$, which of the following is not necessarily true? $mâ€“n$ is divisible $5$. $m^{2}-n^{2}$ is divisible by $25$. $m+n$ is divisible by $10$ None of the above.
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
281
views
cat1997
quantitative-aptitude
0
votes
1
answer
66
CAT 1997 | Question: 119
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius. $4$ $2$ $3$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
533
views
cat1997
quantitative-aptitude
0
votes
1
answer
67
CAT 1997 | Question: 118
If the roots, $x_{1}$ and $x_{2}$ of the quadratic equation $x^{2}-2x+c=0$ also satisfy the equation $7x_{2}-4x_{1}=47$, then which of the following is true? $c=-15$ $x_{1}=-5, x_{2}=3$ $x_{1}=4.5, x_{2}=-2.5$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
231
views
cat1997
quantitative-aptitude
0
votes
1
answer
68
CAT 1997 | Question: 117
The average marks of a student in ten papers are $80$. If the highest and the lowest scores are not considered, the average is $81$. If his highest score is $92$, find the lowest. $55$ $60$ $62$ Cannot be determined
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
236
views
cat1997
quantitative-aptitude
0
votes
1
answer
69
CAT 1997 | Question: 116
$P$ and $Q$ are two integers such that $P \times Q = 64$. Which of the following cannot be the value of $P+Q$? $20$ $65$ $16$ $35$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
381
views
cat1997
quantitative-aptitude
0
votes
1
answer
70
CAT 1997 | Question: 115
A candidate was asked to find $7/8$th of a positive number; he found $7/18$th of the same by mistake. If his answer was $770$ less than the correct one, then the original given number was $1260$ $6160$ $1584$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
249
views
cat1997
quantitative-aptitude
0
votes
0
answers
71
CAT 1997 | Question: 114
An express train moving at the rate of $80$ km per hour overtakes completely a good train twice as long and moving on a parallel line in the same direction at the rate of $40$ km per hour in $54$ seconds. How long will the express train take to completely pass through a station $4000$ meters in length? $54$ seconds $27$ seconds $18$ seconds None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
230
views
cat1997
quantitative-aptitude
time-and-distance
0
votes
0
answers
72
CAT 1997 | Question: 113
Fresh grapes contain $90$% water by weight while dried grapes contain $20$% water by weight. The weight of dry grapes available from $20$ kg of fresh grapes will be. $2$ kg $2.4$ kg $2.5$ kg None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
243
views
cat1997
quantitative-aptitude
0
votes
0
answers
73
CAT 1997 | Question: 112
A dry fruit seller purchased 3 kinds of nuts at the rate of Rs. $100$/kg, Rs. $80$/kg and Rs. $60$/kg. He then mixed them, respectively, in the ratio $3:4:5$ by weight and sold the same to a customer at $50$% profit. The price at which he sold to the customer is Rs. $110$ Rs. $90$ Rs. $70$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
148
views
cat1997
quantitative-aptitude
0
votes
1
answer
74
CAT 1997 | Question: 111
How many values of the natural number $n$ are possible so that the expression $(16n^{2}+7n+6)/n$ is also a natural number? Infinitely many $3$ $4$ None of these d & c
makhdoom ghaya
asked
in
Quantitative Aptitude
May 30, 2017
by
makhdoom ghaya
7.9k
points
267
views
cat1997
quantitative-aptitude
0
votes
1
answer
75
CAT 1997 | Question: 110
After a discount of $11.11$%, a trader still makes a gain of $14.28$%. At how many percent above the cost price does he mark his goods? $28.56$% $35$% $22.22$% None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 29, 2017
by
makhdoom ghaya
7.9k
points
428
views
cat1997
quantitative-aptitude
profit-loss
0
votes
1
answer
76
CAT 1997 | Question: 109
If $\log_{2}[ \log_{7} (x^{2}-x+37)]=1$ then what could be the value of $x$? $3$ $5$ $4$ None of these $c$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 29, 2017
by
makhdoom ghaya
7.9k
points
556
views
cat1997
quantitative-aptitude
0
votes
0
answers
77
CAT 1997 | Question: 108
In how many ways can the eight directors, the Vice chairman and the Chairman of a firm be seated at around- table, if the Chairman has to sit between the Vice- chairman and a director? $9! \times 2$ $2 \times 8!$ $2 \times 7!$ None of these
makhdoom ghaya
asked
in
Quantitative Aptitude
May 29, 2017
by
makhdoom ghaya
7.9k
points
180
views
cat1997
quantitative-aptitude
0
votes
1
answer
78
CAT 1997 | Question: 107
A student gets an aggregate of 60% marks in five subjects in the ratio $10:9:8:7:6$. If the passing marks are $50$% of the maximum marks and each subjects has the same maximum marks, in how many subjects did he pass the exam? $2$ $3$ $4$ $5$
makhdoom ghaya
asked
in
Quantitative Aptitude
May 29, 2017
by
makhdoom ghaya
7.9k
points
990
views
cat1997
quantitative-aptitude
percentage
0
votes
0
answers
79
CAT 1997 | Question: 106
There are $60$ students in a class. These students are divided into three groups $A, B$ and $C$ of $15, 20$ and $25$ students each. The groups $A$ and $C$ are combined to form group $D$. If all the students of the class have the same ... weight of $A$. The average weight of all the groups remains the same even if a number of students are shifted from one group to another.
makhdoom ghaya
asked
in
Quantitative Aptitude
May 29, 2017
by
makhdoom ghaya
7.9k
points
274
views
cat1997
quantitative-aptitude
0
votes
0
answers
80
CAT 1997 | Question: 105
There are $60$ students in a class. These students are divided into three groups $A, B$ and $C$ of $15, 20$ and $25$ students each. The groups $A$ and $C$ are combined to form group $D$. If one students from Group A is ... weight of both groups increases. The average weight of both the groups decreases. The average weight of the class remains the same. Cannot be determined.
makhdoom ghaya
asked
in
Quantitative Aptitude
May 29, 2017
by
makhdoom ghaya
7.9k
points
168
views
cat1997
quantitative-aptitude
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