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Recent questions in Quantitative Aptitude

1 votes
1 answer
1881
CAT 2007 | Question: 10
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? $3$ $2$ $4$ $0$ $1$
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$$0$$1$
2 votes
1 answer
1886
CAT 2007 | Question: 02
A quadratic function f(x) attains a maximum of $3$ at $x=1.$ The value of the function at $x=0$ is $1.$ What is the value of $f(x)$ at $x=10?$ $-119$ $-159$ $-110$ $-180$ $-105$
A quadratic function f(x) attains a maximum of $3$ at $x=1.$ The value of the function at $x=0$ is $1.$ What is the value of $f(x)$ at $x=10?$$-119$$-159$$-110$$-180$$-10...
0 votes
1 answer
1888
check the question
How many 3-digit numbers can be formed from the digits 2,3,5,6,7 and 9,which are divisible by 5 and none of the digits is repeated ?
How many 3-digit numbers can be formed from the digits 2,3,5,6,7 and 9,which are divisible by 5 and none of the digits is repeated ?
1 votes
1 answer
1893
CAT 2008 | Question: 19
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist? $5$ $21$ $10$ $15$ $14$
Consider obtuse-angled triangles with sides $8$ cm, $15$ cm and $x$ cm. If x is an integer, then how many such triangles exist?$5$$21$$10$$15$$14$
0 votes
1 answer
1896
CAT 2008 | Question: 14
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$ $-\frac{1}{\sqrt{3} }$ $-1$ $0$ $1$ $\frac{1}{\sqrt{3} }$
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$$-\frac{1}{\sqrt{3} }$$-1$$0$$1$$\frac...
2 votes
1 answer
1897
CAT 2008 | Question: 13
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$ $0$ $\frac{1}{4}$ $\frac{1}{2}$ $1$ cannot be determined
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$$0$$\frac{1}{4}$$\frac{1}{2...
0 votes
2 answers
1898
CAT 2008 | Question: 12
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is $78$ $19$ $20$ $27$ $22$
The number of common terms in the two sequences $17, 21, 25,\dots,417$ and $16, 21 26,\dots,466$ is$78$$19$$20$$27$$22$
2 votes
1 answer
1899
CAT 2008 | Question: 10
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$. What is the other root of $f(x)=0?$ $-7$ $-4$ $2$ $6$ cannot be determined
Let $f(x) = ax^2 + bx +c$, where $a$, $b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2) $ and that 3 is a root of $f(x)=0$.What is the ot...
0 votes
2 answers
1904
CAT 2008 | Question: 06
What are the last two digits of $7^{2008}?$ $21$ $61$ $01$ $41$ $81$
What are the last two digits of $7^{2008}?$$21$$61$$01$$41$$81$
0 votes
1 answer
1905
CAT 2008 | Question: 02
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$ $231$ $253$ $242$ $210$ $228$
What is the number of distinct terms in the expansion of $(a + b + c)^{20}?$$231$$253$$242$$210$$228$
1 votes
1 answer
1906
CAT 2008 | Question: 01
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed? $499$ $500$ $375$ $376$ $501$
How many integers, greater than $999$ but not greater than $4000,$ can be formed with the digits $0, 1, 2, 3$ and $4,$ if repetition of digits is allowed?$499$$500$$375$$...
0 votes
1 answer
1909
arrangement-P and C
In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each? a)720 b)1260 c)2520 d)5040
In how many ways 8 persons can be arranged on two round tables consisting of 4 chairs each?a)720b)1260c)2520d)5040
0 votes
1 answer
1910
permutation and combination
An advertising board is to be designed with 5 vertical stripes using some or all of colors red, yellow and orange. In how many ways board can be designed such that no two adjacent stripes have same color? a)6 b)15 c)18 d)48
An advertising board is to be designed with 5 vertical stripes using some or all of colors red, yellow and orange. In how many ways board can be designed such that no two...
0 votes
2 answers
1911
Numerical ability
A number when divided by a divisor leaves 22 as the remainder. Twice the number when divided by same divisor leaves 7 as the remainder. Find the divisor? (a) 23 (b) 27 (c) 33 (d) 37
A number when divided by a divisor leaves 22 as the remainder. Twice the number when divided by same divisor leaves 7 as the remainder. Find the divisor? (a) 23 (b)...
1 votes
1 answer
1912
compound interest question
a sum of rs. 1100 was taken as loan. this is to be repaid in 2 equal installments.if the rate of interest is 20% compounded annually then value of each installment is?
a sum of rs. 1100 was taken as loan. this is to be repaid in 2 equal installments.if the rate of interest is 20% compounded annually then value of each installment is?
0 votes
1 answer
1913
Simple interest
A sum of rs. 10 is lent to be returned in 11 monthly installments of rs.1 each , interest being simple. the rate of interest is?
A sum of rs. 10 is lent to be returned in 11 monthly installments of rs.1 each , interest being simple. the rate of interest is?
0 votes
1 answer
1914
Select the best answer from the given options.
If 3x - 2 = 7, then 4x = ? 3 5 20/3 9 12
If 3x - 2 = 7, then 4x = ?3520/3912
0 votes
1 answer
1915
Choose the appropriate answers for the following questions.
( 19 - 18 - 17 - 16 ) - ( 20 - 19 - 18 - 17 ) = ? -36 -6 -4 1 2
( 19 - 18 - 17 - 16 ) - ( 20 - 19 - 18 - 17 ) = ?-36-6-412
2 votes
1 answer
1916
The actual __________ of Wilson's position was always__________ by his refusal
Choose the word or set of words for each blank that best fits the meaning of sentence as whole.The actual ___________ of Wilson's position was always ___________ by his r...
2 votes
2 answers
1917
In the given figure, ∠BAC = 120° and AD is the bisector of ∠BAC.
In the given figure, $∠BAC = 120º$ and $AD$ is the bisector of $∠BAC$. If $\frac{(AD)(AB)}{BD} = \frac{AE}{EC}( AE + EC )$ and $∠EDC = ∠ECD$, what is the ratio ...
0 votes
2 answers
1918
In a section of a timber mill, cylindrical logs of wood, all of uniform dimensions, arrive as the input and are cut into smaller cylindrical pieces of the same radius using manual and mechanical saws.
In a section of a timber mill, cylindrical logs of wood, all of uniform dimensions, arrive as the input and are cut into smaller cylindrical pieces of the same radius usi...
1 votes
2 answers
1920
Rohan and Sohan start simultaneously from a point A on a circular track and run in the same direction.
Rohan and Sohan start simultaneously from a point A on a circular track and run in the same direction. The speed of Rohan is nine times the speed of Sohan. How many times...
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