Dr Raju's Institute of Graduate Studies Abroad

[GREquant800]

Quant:

1.

Given the area of the shaded region as 1sq.m, find the radius of the circle?


2.

If ‘r’ is the radius of the circle, then
Col A: (ab + cd)/2
Col B: r


3. Col A: │-7│+│-3│-│3│
Col B: 0


4. Find the sum of the common prime factors of 51 and 204?


5. Given [x – 1/x]/ [1 + 1/x] = 99. Find the value of [x – 1/x]/[1 + 1/x]?


6. Ina hospital, on one day 500 sets of twins are born. If B sets are both boys and G sets are both girls, then find the number of boy and girl sets?
(Similar to this)


7.

Col A: θ1
Col B: θ2


8. Given a series -5, 4, ………………. and tn = t(n–1) – t(n + 1). What is the sum of the terms up to 100 terms (S10)?


9. Given that 3 couples are to be seated in a row such that husband and wife always seat together, find the number of ways they can be arranged?

[anilreddy]

1)sqrt(7/8)
2)??
3)A
4)20
5)???
6)500-(B+G)
7)B
8)........
9)12

[arundysani]

2nd answer


as from the figure it is clear that ab+cd is the diameter of circle
hence d=2r
hence answer is c(they are equal)

[anilreddy]

2)ab+cd is a chord of circle
lenth of chord is always less than lenth of diameter.
(ab+cd)/2 < diameter/2 = r
ANSWER B

[test100]

Q. 1. r = sqrt (1 / (pi-2) )

let radius be r, then the area of circle be pi*r^2.
In a square opposite sides can be calculated from 90-45-45 triangle,
diagonal length which is 2r, then sides be sqrt(2)*r

=> area of shaded region = pi*r^2 - 2*r^2
1 = r^2 ( pi - 2)
=> r = sqrt (1 / (pi-2) )

[sony3540]

Te answer for the 9th question iis 48. (3*2*1)*2^3.
For the 1st question ,they didnt tell the box inscribed in the circle is a square or a rectangle.so the answer for that is d.
correct me if i am wrong.
_________________
y.rajasekhar

[sony3540]

Te answer for the 9th question iis 48. (3*2*1)*2^3.
For the 1st question ,they didnt tell the box inscribed in the circle is a square or a rectangle.so the answer for that is d.
correct me if i am wrong.
_________________
y.rajasekhar

[parijat2448]

2 is tough

I do agree that it could be B

but what if the figure was not drawn to scale and the chords were moved around?

then could we not get a double case and thus D?

[pravita]

can smebody clarify the answer for 7th question pls....i think it shud be C

[nehareddy4u]

can any 1 explain 1st question..

how can v take it as a square.. v can take it as a rectangle also..
diagonal of that square or rectangle will be 2r..
but the angles of it will vary.. in case of rectangle it will be 30,60,90.. and in case of square it will be 45,45,90..

so any one explain it.. else i think the answer will be "D".. but if it is a solving problem.. then pls explain..

[nehareddy4u]

1. data insufficient..

2. B

3. A

4. C

5. 99

6. 500-(B+G)

7. B

8. any one explain it..

9. 48..

[rangu.naveenkumar]

Neha can u explain the 9th question

[venugopalreddy24]

neha pls explain 4th problem

[kranthi]

1.D

2.D what if the figure is nt drawn according 2 scale...if ab,cd r nt perpendicular 2 the chord...so it varies

3.A

4.20 17,3 r primes

5.99

6.500-(B+G)

7.B (180-Q1)>(180-Q2) angle opposite 2 greater side is greater

-Q1>-Q2
Q1<Q2
8. i need help in this
t100=t0+t1...
=-5+(t0-t2)+(t1-t3)+............(t99-t101)
=-5+t101
series=-5,4,-9,13,-21......
--------------
9.48 3!.2!.2!.2!

[venugopalreddy24]

kranthi explain the 4th problem pls