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5249
CAT 2014 | Question: 50
A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $–110$ $–180$
A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $�...
0 votes
1 answer
5256
CAT 2014 | Question: 47
Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $1$
Consider four-digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? $3$ $2$ $4$ $1$
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2 answers
5257
CAT 2014 | Question: 46
Suppose you have a currency, named Rubble, in three denominations: $1$ Rubble, $10$ Rubbles and $50$ Rubbles. In how many ways can you pay a bill of $95$ Rubbles? $15$ $16$ $18$ $19$
Suppose you have a currency, named Rubble, in three denominations: $1$ Rubble, $10$ Rubbles and $50$ Rubbles. In how many ways can you pay a bill of $95$ Rubbles? $15$ $1...
0 votes
1 answer
5258
CAT 2014 | Question: 45
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to. $1023$ $2047$ $4095$ $8195$
Let $a_{n+1}= 2 a_{n}+1 ({n}=0, 1, 2,\dots)$ and $a_{0}=0$. Then $a_{10}$ nearest to.$1023$$2047$$4095$$8195$
0 votes
1 answer
5259
CAT 2014 | Question: 44
John bought five toffees and ten chocolates together for forty rupees. Subsequently, he returned one toffee and got two chocolates in exchange. The price of an chocolate would be $1$ $2$ $3$ $4$
John bought five toffees and ten chocolates together for forty rupees. Subsequently, he returned one toffee and got two chocolates in exchange. The price of an chocolate ...
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0 answers
5263
CAT 2014 | Question: 37
A lead cuboid of $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified into the form of a rod of $8$ inches diameter. The length of such a rod, in inches, is nearest to $3$ $3.5$ $4$ $4.5$
A lead cuboid of $8$ inches in length, $11$ inches in breadth, and $2$ inches thick was melted and resolidified into the form of a rod of $8$ inches diameter. The length ...
1 votes
1 answer
5265
CAT 2014 | Question: 35
A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, is $1/18$ $1/3$ $1/6$ $2/3$
A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, i...
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0 answers
5266
CAT 2014 | Question: 34
A five digit number is formed using digits $1, 3, 5, 7$ and $9$ without repeating any one of them. What is the sum of all such possible numbers? $6666600$ $6666660$ $6666666$ None
A five digit number is formed using digits $1, 3, 5, 7$ and $9$ without repeating any one of them. What is the sum of all such possible numbers? $6666600$ $6666660$ $6666...
0 votes
1 answer
5269
CAT 2014 | Question: 27
The line $\text{AB}$ is $6$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ It is known that the radii of the two circles are integers. The radius of the outer circle is $5$ metres $4$ metres $6$ metres $3$ metres
The line $\text{AB}$ is $6$ metres in length and is tangent to the inner one of the two concentric circles at point $\text{C}.$ It is known that the radii of the two circ...
0 votes
0 answers
5270
CAT 2014 | Question: 26
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smaller than $r$. equal to $r$. larger than $r$. depends on the height of the cones.
Three identical cones with base radius $r$ are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is smal...
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0 answers
5271
CAT 2014 | Question: 25
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers? $2 : 1$ $3 : 1$ $3 : 2$ None
From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the rat...
0 votes
1 answer
5277
CAT 2014 | Question: 11
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
0 votes
1 answer
5278
CAT 2014 | Question: 10
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circumscribed circle? $2 : 3$ $3 : 4$ $1 : 4$ $1 : 2$
A circle is inscribed in a given square and another circle is circumscribed about the square. What is the ratio of the area of the inscribed circle to that of the circums...
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