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Recent questions tagged quantitative-aptitude

2 votes
1 answer
761
CAT 1995 | Question: 86
A man invests Rs. $3000$ at a rate of $5$% per annum. How much more should he invest at a rate of $8$%, so that he can earn a total of 6% per annum? Rs. 1200 Rs. 1300 Rs. 1500 Rs. 2000
A man invests Rs. $3000$ at a rate of $5$% per annum. How much more should he invest at a rate of $8$%, so that he can earn a total of 6% per annum?Rs. 1200Rs. 1300Rs. 15...
3 votes
2 answers
762
CAT 1995 | Question: 85
The largest value of $\min (2 + x^{2} , 6 - 3x)$ when $x > 0$ is $1$ $2$ $3$ $4$
The largest value of $\min (2 + x^{2} , 6 - 3x)$ when $x 0$ is$1$ $2$ $3$ $4$
5 votes
1 answer
764
CAT 1995 | Question: 83
AB is the diameter of the circle and the points C and D are on the circumference such that $\angle CAD=30^o$. What is the measure of $\angle ACD$?
AB is the diameter of the circle and the points C and D are on the circumference such that $\angle CAD=30^o$. What is the measure of $\angle ACD$?
1 votes
1 answer
765
CAT 1995 | Question: 82
One root of $x^{2} + kx – 8 = 0$ is square of the other. Then, the value of k is: $2$ $8$ $-8$ $-2$
One root of $x^{2} + kx – 8 = 0$ is square of the other. Then, the value of k is:$2$ $8$ $-8$ $-2$
4 votes
1 answer
766
CAT 1995 | Question: 81
Choose the correct option: AB is perpendicular to BC and BD is perpendicular to AC. CE bisects the angle C; $\angle A=30^{\circ}$ Then, what is $\angle CED$? $30^{\circ}$ $60^{\circ}$ $45^{\circ}$ $65^{\circ}$
Choose the correct option:AB is perpendicular to BC and BD is perpendicular to AC. CE bisects the angle C; $\angle A=30^{\circ}$ Then, what is $\angle CED$?$30^{\circ}$$6...
1 votes
1 answer
770
CAT 1995 | Question: 77
Choose the correct option: 72 hens cost Rs._96.7_. What does each hen cost, where numbers at “_” are not visible or are written in illegible hand? Rs. 3.23 Rs. 5.11 Rs. 5.51 Rs.7.22
Choose the correct option:72 hens cost Rs._96.7_. What does each hen cost, where numbers at “_” are not visible or are written in illegible hand?Rs. 3.23Rs. 5.11Rs. 5...
1 votes
1 answer
771
CAT 1995 | Question: 76
Choose the correct option: The rate of inflation was $1000$%. What will be the cost of an article, which costs $6$ units of currency now, two years from now? $666$ $660$ $720$ $726$
Choose the correct option:The rate of inflation was $1000$%. What will be the cost of an article, which costs $6$ units of currency now, two years from now?$666$$660$ $72...
4 votes
1 answer
772
CAT 1995 | Question: 75
Choose the correct option: In the adjoining figure, $AC + AB = 5 AD$ and $AC – AD = 8$. The area of the rectangle ABCD is: $36$ $50$ $60$ Cannot be answered.
Choose the correct option:In the adjoining figure, $AC + AB = 5 AD$ and $AC – AD = 8$. The area of the rectangle ABCD is:$36$ $50$ $60$ Cannot be answered.
2 votes
1 answer
774
CAT 1995 | Question: 73
Choose the correct option: The remainder obtained when a prime number greater than $6$ is divided by $6$ is: 1 or 3 1 or 5 3 or 5 4 or 5
Choose the correct option:The remainder obtained when a prime number greater than $6$ is divided by $6$ is:1 or 31 or 53 or 54 or 5
1 votes
1 answer
780
CAT 1995 | Question: 67
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of (x, y) For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$? $a>3$ $0<a<3$ $a < 0$ Both $B$ and $C$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x|me(x, y) = maximum of (x, y)For what values of $a$ is $le(a^{2} – 3a, a – 3) < 0$?$a>3$$0<a<3$ $a < 0$...
1 votes
1 answer
781
CAT 1995 | Question: 66
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of(x, y) For what values of a is $me(a^{2} – 3a, a – 3) < 0$? $a >3$ $0 < a < 3$ $a < 0$ $a =3$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x|me(x, y) = maximum of(x, y)For what values of a is $me(a^{2} – 3a, a – 3) < 0$?$a >3$$0 < a < 3$ $a <...
1 votes
1 answer
783
CAT 1995 | Question: 64
Refer to the following data: le(x, y) = Least of(x, y) mo(x) = |x| me(x, y) = maximum of(x, y) Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ and $b = - 3$. $1$ $0$ $5$ $3$
Refer to the following data:le(x, y) = Least of(x, y)mo(x) = |x| me(x, y) = maximum of(x, y)Find the value of me(a + mo(le(a, b)); mo(a + me(mo(a), mo(b)), at $a = -2$ a...
1 votes
1 answer
784
CAT 1995 | Question: 63
For the product $n(n + 1)(2n + 1)$, $n \hat{I} N$, which one of the following is necessarily false? It is always even Divisible by $3$. Always divisible by the sum of the square of first n natural numbers Never divisible by $237$.
For the product $n(n + 1)(2n + 1)$, $n \hat{I} N$, which one of the following is necessarily false?It is always evenDivisible by $3$.Always divisible by the sum of the sq...
1 votes
1 answer
785
CAT 1995 | Question: 62
A, B, C and Dare four towns, any three of which are non-collinear. The number of ways to construct three roads each joining a pair of towns so that the roads do not form a triangle is: 7 8 9 more than 9
A, B, C and Dare four towns, any three of which are non-collinear. The number of ways to construct three roads each joining a pair of towns so that the roads do not form ...
1 votes
1 answer
786
CAT 1995 | Question: 61
Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime together again? 2 hours 24 minutes 4 hours 48 minutes 1 hour 36 minutes 5 hours
Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime ...
1 votes
1 answer
787
CAT 1995 | Question: 60
Which one of the following cannot be the ratio of angles in a right-angled triangle? $1:2:3$ $1:1:2$ $1 :3:6$ None of these
Which one of the following cannot be the ratio of angles in a right-angled triangle?$1:2:3$ $1:1:2$ $1 :3:6$ None of these
1 votes
1 answer
788
CAT 1995 | Question: 59
The sides of a triangle are $5, 12$ and $13$ units respectively. A rectangle is constructed which is equal in area to the triangle and has a width of 10 units. Then the perimeter of the rectangle is $30$ $26$ $13$ None of these
The sides of a triangle are $5, 12$ and $13$ units respectively. A rectangle is constructed which is equal in area to the triangle and has a width of 10 units. Then the p...
2 votes
1 answer
789
CAT 1995 | Question: 58
$5^{4}-1$ is divisible by $13$ $31$ $5$ none of these
$5^{4}-1$ is divisible by$13$ $31$ $5$ none of these
1 votes
1 answer
790
CAT 1995 | Question: 57
PQRS is a square. SR is a tangent (at point S) to the circle with centre 0 and TR = OS. The ratio of the area of the circle to the area of the square is: $\pi/3$ $11/7$ $3/\pi$ $7/11$
PQRS is a square. SR is a tangent (at point S) to the circle with centre 0 and TR = OS. The ratio of the area of the circle to the area of the square is:$\pi/3$$11/7$$3/\...
1 votes
1 answer
791
CAT 1995 | Question: 56
The value of $\frac{55^{3}+45^{3}}{55^{2}-55 \times 45+45^{2}}$ is: $100$ $105$ $125$ $75$
The value of $\frac{55^{3}+45^{3}}{55^{2}-55 \times 45+45^{2}}$ is:$100$ $105$ $125$ $75$
1 votes
1 answer
792
CAT 1995 | Question: 55
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$? $m < 2$, or $m > 5$ $m > 2$ $2 < m < 5$ $m < 5$
What is the value of m which satisfies $3m^{2} - 21m + 30 < 0$?$m < 2$, or $m 5$ $m 2$ $2 < m < 5$ $m < 5$
1 votes
1 answer
793
CAT 1995 | Question: 54
ABCD is a square of area 4, which is divided into four non-overlapping triangles as shown in the figure. The sum of the perimeters of the triangles is: $8(1+\sqrt{2})$ $8(2+\sqrt{2})$ $4(2+\sqrt{2})$ $4(1+\sqrt{2})$
ABCD is a square of area 4, which is divided into four non-overlapping triangles as shown in the figure. The sum of the perimeters of the triangles is:$8(1+\sqrt{2})$$8(2...
2 votes
1 answer
798
20 men can do a work in c/2 days & 30 women can do the same work in c/3 days then how many days will take to complete the work when 20 men &30wmen work together
20 men can do a work in c/2 days & 30 women can do the same work in c/3 days then how many days will take to complete the work when 20 men &30wmen work togethera)5c/6b)c/...
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