[PradeepRed]

Hi

I dont know if the thread to the first Quant Sectional test is still open or not, but here goes
Section A attempts - 6 Correct 4
Section B attempts - 7 Correct 5

Had a try at the others but missed a trick in the book for most of them.
However i do have a few doubts and i hope someone can clarify them for me

Q19) Two circles of radii a,2a respectively cut each other at 120 degrees. If length of common chord of the 2 circles is 1, value of a to the nearest decimal place is

In the solutions provided by Vineet, it was written that none of the options provided were correct, rather the correct soln was a=1/2. Now my question is
If a=1/2 then diameter of the smaller circle =2a =1 = length of common chord!!! which would imply that circles overlap(ie same radius a). This violates the given statement -circles of radius a and 2a.
Is my understanding correct or have i missed something?

Q2) A rectangle is such that it cut be perfectly cut into smaller squares of maximum possible size of side of length 5cm. It is known perimeter of the such a rectangle is 200cm. How many distinct rectangles are possible.

Now my thought process ran like this
Let a and b be length of sides of the rectangle. Therefore a + b =100
Now even if a=1 and b=99 i can have 99 small squares each of side 1cm which fulfills the condition set that side of squares so cut should be less than 5cm.
Similarly if a=2 and b=98, i can still have 49 small squares each of side 2cm.. and so and so forth.
Again any corrections to my thought process would be helpful.

Pradeep

[sandeep jha]

Hi puys,

can anyone solve the following problem for me....cudn't make much sense of the solution provided.....

Quant Question # 143 ---------------------------------------------------------
If a, b, c are real numbers such that a < b < c and a + b + c = 6, ab + bc + ca = 9, then which among the following is definitely true?
(a) 0 < a < 1 (b) 1 < b < 3 (c) 3 < c < 4 (d) All of them

Thanks...

[pratyush_sinha]

Originally Posted by sandeep jha

Hi puys,

can anyone solve the following problem for me....cudn't make much sense of the solution provided.....

Quant Question # 143 ---------------------------------------------------------
If a, b, c are real numbers such that a < b < c and a + b + c = 6, ab + bc + ca = 9, then which among the following is definitely true?
(a) 0 < a < 1 (b) 1 < b < 3 (c) 3 < c < 4 (d) All of them

Thanks...

wrong post.

[pratyush_sinha]

Originally Posted by sandeep jha

Hi puys,

can anyone solve the following problem for me....cudn't make much sense of the solution provided.....

Quant Question # 143 ---------------------------------------------------------
If a, b, c are real numbers such that a < b < c and a + b + c = 6, ab + bc + ca = 9, then which among the following is definitely true?
(a) 0 < a < 1 (b) 1 < b < 3 (c) 3 < c < 4 (d) All of them

Thanks...

trying anothwer method..

a= 6-B-C
so

bc + a(6-a)= 9

a^2 -6a +9 -bc=0

a to be real , 36 - 36 + 4bc >=0 or 4bc > 0 and same thing will work for b and c

but a = 3 - sqrt(bc)<b and c,

so (a) rejected. so (d) rejected.
since c can be more than 4 so (c) also rejected.

So (b) is the only soln.

I think this is the righ t one

[sandeep jha]

Originally Posted by pratyush_sinha

trying anothwer method..



but a = 3 - sqrt(bc)<b and c,

so (a) rejected. so (d) rejected.
since c can be more than 4 so (c) also rejected.

So (b) is the only soln.

I think this is the righ t one

Thanks pratyush....

can u do one more favour to me....if u've got the first solution given in the Pdf document for this problem.... plz explain to me also
Thanks

[nehasvnit]

hey..
great thread..
thnx..
keep going on..

[kondapalli]

Originally Posted by pratyush_sinha

------------------------------------------------------------ Quant Question # 86 ------------------
The integer sequence a1, a2, a3, ... satisfies a(n+2) = a(n+1) - a(n) for n > 0. The sum of the first 1492 terms is 1985, and the sum of the first 1985 terms is 1492. The sum of the first 2001 terms is
(a) 986 (b) 0 (c) 1476 (d) none of the foregoing
------------------------------------------------------------ Quant Question # 87 ------------------
Harish and Manish run back and forth from Model colony to Kothrud at the speeds 12km/h and 18km/h respectively. They start simultaneously - Manish from Model colony and Harish from Kothrud. If they cross each other for the first time in 14 minutes from the start, at what distance from Kothrud will they cross each other for the fifth time?
(a) 2.8 km (b) 3.5 km (c) 4.2 km (d) 4.8 km

------------------------------------------------------------ Quant Question # 88 ------------------
A point is selected at random from the four quadrants of the XY plane. For each of the points selected, all possible lines are drawn which pass through the point and only two quadrants. What is the maximum number of points at which these lines can intersect?

(a) 55 (b) 41 (c) 29 (d) 19

Pratyush bhai......you are proving omnipresent !!!

Second one great soln....

First one I am getting the cycle as 6. where is the ans.

[kondapalli]

Originally Posted by umesh_wpc

------------------------------------------------------------
Quant Question # 79
------------------------------------------------------------
Shrikant and Sachin start running simulataneosly from the diametrically opposite ends of a circular track towards each other at 15km/h and 25km/h respectively. After every 10 minutes their speed reduce to half of their current speeds. If the length of the circular track is 1500m, how many times will Shrikant and Sachin meet on the track?

(a) 6 (b) 9 (c) 11 (d) none of the foregoing

------------------------------------------------------------
Quant Question # 80
------------------------------------------------------------
At Pizza-Hut pizzas are made only on an automatic pizza-making machine. The machine continually makes different sorts of pizzas by adding different sorts of toppings on a common base. The machine makes the pizzas at the rate of 1 pizza per minute. The various toppings are added to the pizza in the following manner. Starting from every pizza, every fifth pizza is topped with pepperoni, every seventh with olive and baby corn, every eigth with mushroom, and the rest with chesse and tomatoes. The machine works
for 13 hours per day without any breaks in between. How many pizzas per day are made with cheese and tomatoes as topping?

(a) 418 (b) 458 (c) 478 (d) none of the foregoing

------------------------------------------------------------
Quant Question # 81
------------------------------------------------------------
What is the least perimeter of an obtuse-angled triangle with integer sides, whose one acute angle is twice the other?

(a) 45 (b) 56 (c) 65 (d) 77

------------------------------------------------------------
Quant Question # 82
------------------------------------------------------------
If the real numbers p, q satisfy p3 - 3p2 + 5p - 17 = 0, q3 - 3q2 + 5q + 11 = 0. Then the numerical value of p+q is

(a) -5 (b) 2 (c) 8 (d) none of the foregoing

I will def post the ans.....first lemme knw if I am right!

1) 9 times
2) 468 hence none of the above
4) donno. Is it option b?