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‘Phodo CAT’ – 5 questions a day towards decimating CAT - Updated on 18th Oct 2011!

Comments
 

Nishank

where can i find the solutions?

4 Oct 2011, 03.56 PM

Team InsideIIM

The solutions will be posted by 12 am tonight

4 Oct 2011, 07.21 PM

Team InsideIIM

Guys, Check your answers...:)

4 Oct 2011, 08.35 PM

Manu

No questions for today?

5 Oct 2011, 07.49 PM

Team InsideIIM

@Manu - New questions to be posted by 12pm. Keep watching this space.

6 Oct 2011, 08.54 AM

Team InsideIIM

@Manu and everyone! Rejoice! Sharpen the pencils! The new questions are here!!!

6 Oct 2011, 02.13 PM

suhani

English answers 1-b 2-a 3-d 4-d 5-c

6 Oct 2011, 07.47 PM

Dhairya Sanghvi

1. ans. (a) 95:68 Sol: 20! = 19! x 5 x 2 x 2 In 19!, 5 comes 3 times, and 2 comes 16 times. so in 20!, 5 comes 4 times and 2 comes 18 times. Therefore on taking the ratio of the number of factors, all except powers of 2 and 5 cancel out. So, (18+1)(4+1)/(16+1)(3+1) = (19x5)/(17x4) = 95/68 2. ans. (d) c.b.d Sol: The figure formed on joining the centers of the circles need not be a square. it could be a rhombus and hence the angles (subtended at the respective centers) need not be equal. The area in the shaded portion will depend on these angles. 3. ans. (a) 270 Sol: Let the marked price be m and the C.P. x1, x2, x3. Discounts: 1/9, 1/7, 1/6 (converting percentages to ratios) Profits: 1/6, 1/8, 1/3 For the sum of C.P.s to be the least, the logical combination of discount and profit will be: d p 1/9 1/3 1/6 1/6 1/7 1/8 Thus, Selling Price SP1 = m - m/9 = 8m/9 SP2 = m - m/7 = 6m/7 SP3 = m - m/6 = 5m/6 Using (S.P. - C.P.)/C.P. = Profit, for all the three we get, x1 = 2m/3; x2 = 16m/21; x3 = 5m/7 Thus x1 + X2 + X3 = 15m/7. Only option (a) 270 satisfies the above and all the conditions given in the question. 4. ans. (a) 7/11 Sol: Rationalize RHS twice and then compare LHS and RHS. P = 7/11 5. ans. (d) (x+2)*f(x+1)/x Sol: Substitute x+2 in place of x. Then check the value of each option and match it with the above value.

10 Oct 2011, 08.08 PM

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Comments
 

Nishank

where can i find the solutions?

4 Oct 2011, 03.56 PM

Team InsideIIM

The solutions will be posted by 12 am tonight

4 Oct 2011, 07.21 PM

Team InsideIIM

Guys, Check your answers...:)

4 Oct 2011, 08.35 PM

Manu

No questions for today?

5 Oct 2011, 07.49 PM

Team InsideIIM

@Manu - New questions to be posted by 12pm. Keep watching this space.

6 Oct 2011, 08.54 AM

Team InsideIIM

@Manu and everyone! Rejoice! Sharpen the pencils! The new questions are here!!!

6 Oct 2011, 02.13 PM

suhani

English answers 1-b 2-a 3-d 4-d 5-c

6 Oct 2011, 07.47 PM

Dhairya Sanghvi

1. ans. (a) 95:68 Sol: 20! = 19! x 5 x 2 x 2 In 19!, 5 comes 3 times, and 2 comes 16 times. so in 20!, 5 comes 4 times and 2 comes 18 times. Therefore on taking the ratio of the number of factors, all except powers of 2 and 5 cancel out. So, (18+1)(4+1)/(16+1)(3+1) = (19x5)/(17x4) = 95/68 2. ans. (d) c.b.d Sol: The figure formed on joining the centers of the circles need not be a square. it could be a rhombus and hence the angles (subtended at the respective centers) need not be equal. The area in the shaded portion will depend on these angles. 3. ans. (a) 270 Sol: Let the marked price be m and the C.P. x1, x2, x3. Discounts: 1/9, 1/7, 1/6 (converting percentages to ratios) Profits: 1/6, 1/8, 1/3 For the sum of C.P.s to be the least, the logical combination of discount and profit will be: d p 1/9 1/3 1/6 1/6 1/7 1/8 Thus, Selling Price SP1 = m - m/9 = 8m/9 SP2 = m - m/7 = 6m/7 SP3 = m - m/6 = 5m/6 Using (S.P. - C.P.)/C.P. = Profit, for all the three we get, x1 = 2m/3; x2 = 16m/21; x3 = 5m/7 Thus x1 + X2 + X3 = 15m/7. Only option (a) 270 satisfies the above and all the conditions given in the question. 4. ans. (a) 7/11 Sol: Rationalize RHS twice and then compare LHS and RHS. P = 7/11 5. ans. (d) (x+2)*f(x+1)/x Sol: Substitute x+2 in place of x. Then check the value of each option and match it with the above value.

10 Oct 2011, 08.08 PM