Register

CAT 2010 | Question: 11

• edited by
391 views
0 votes
0 votes

$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all have the same areas and $\text{BQ} = 2$, then $\text{AQ} = $

  1. $1+\sqrt{5}$
  2. $1-\sqrt{5}$
  3. $\sqrt{7}$
  4. $2\sqrt{7}$
• edited by
User Avatar

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

1 votes
1 votes
1 answer
1
Arjun asked Mar 1, 2020
866 views
CAT 2010 | Question: 4
Consider the following statements : When two straight lines intersect, then : adjacent angles are complementary adjacent angles are supplementary opposite angles are equal opposite angles are supplementary Of these statements: (I) and (III) are correct (II) and (III) are correct (I) and (IV) are correct (II) and (IV) are correct
Consider the following statements :When two straight lines intersect, then :adjacent angles are complementaryadjacent angles are supplementaryopposite angles are equalopp...
0 votes
0 votes
0 answers
2
Arjun asked Mar 1, 2020
597 views
CAT 2010 | Question: 5
A pole has to be erected on the boundary of a circular park of diameter $13$ meters in such a way that the difference of its distances from two diametrically opposite fixed gates $\text{A}$ and $\text{B}$ on the boundary is $7$ meters. The distance of the pole from one of the gates is: $8$ metres $8.25$ metres $5$ metres None these
A pole has to be erected on the boundary of a circular park of diameter $13$ meters in such a way that the difference of its distances from two diametrically opposite fix...
0 votes
0 votes
0 answers
3
Arjun asked Mar 1, 2020
503 views
CAT 2010 | Question: 6
From a square piece of card-board measuring $2a$ on each side of a box with no top is to be formed by cutting out from each corner a square with sides $b$ and bending up the flaps. The value of $b$ for which the box has the greatest volume is $b= \frac{a}{5}$ $b= \frac{a}{4}$ $b= \frac{2a}{3}$ $b= \frac{a}{2}$
From a square piece of card-board measuring $2a$ on each side of a box with no top is to be formed by cutting out from each corner a square with sides $b$ and bending up ...
1 votes
1 votes
1 answer
4
Arjun asked Mar 1, 2020
908 views
CAT 2010 | Question: 7
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
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 votes
2 votes
1 answer
5
Arjun asked Mar 1, 2020
1,042 views
CAT 2010 | Question: 1
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true? $rs = t$ $r + t = 2t – s$ $r + s = t – 2$ $r + t = 2s$
If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true?$rs = t$$r + t = 2t – s$$r + s = t – 2$$r + t = 2s$
Link Copied!