CAT2004 SECTION - MATHS _ CAT4MBA

# 0 b 1 c 2 d no n e o f th e a b o ve e no t atte mp te

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: mp te d 9. If f(x) = x3 - 4x + p, and f(0) and f(1) are of oppos ite s igns , then which of the following is neces s arily true? ra h u l n e m a re fre sh a . -1 &lt; p &lt; 2 b. 0 &lt; p &lt; 3 c. -2 &lt; p &lt; 1 d . -3 &lt; p &lt; 0 e .No t Atte mp te d 10. Suppos e n is an integer s uch that the s um of the digits of n is 2, and 101 0 &lt; n &lt; 101 1 . The num ber of different values for n is a . 11 b . 10 c. 9 d. 8 e .No t Atte mp te d 11. If a/(b+c) = b/(c+a) = c/(a+b) = r , then r cannot take any value except a . 1 /2 b . -1 c. 1 /2 o r -1 d . -1 /2 o r -1 e .No t Atte mp te d 12. Let What is the value of y? a . (√1 3 +3 )/2 b . (√1 3 -3 )/2 c. (√1 5 +3 )/2 d . (√1 5 -3 )/2 e .No t Atte mp te d 13. Let f(x) = ax2 - b |x|, where a and b are cons tants . Then at x = 0, f(x) is a . ma ximiz e d w h e n e ve r a &gt; 0 , b &gt;0 b . ma ximiz e d w h e n e ve r a &gt; 0 , b &lt; 0 c. min imiz e d w h e n e ve r a &gt; 0 , b &gt; 0 d . min imiz e d w h e n e ve r a &gt; 0 , b &lt; 0 e .No t Atte mp te d 14. Two boats , traveling at 5 and 10 km s per hour, head directly towards each other. They begin at a dis tance of 20 km s from each other. How far apart are they (in km s ) one m inute before they collide? a . 1 /1 2 b . 1 /6 c. 1 /4 d . 1 /3 e .No t Atte mp te d 15. Each fam ily in a locality has at m os t two adults , and no fam ily has fewer than 3 children. Cons idering all the fam ilies together, there are m ore adults than boys , m ore boys than girls , and m ore girls than fam ilies . Then the m inim um pos s ible num ber of fam ilies in the locality is a. 4 b. 5 c. 2 d. 3 e . No t Atte mp te d 16. In Nuts And Bolts factory, one m achine produces only nuts at the rate of 100 nuts per m inute and needs to be cleaned for 5 m inutes after production of every 1000 nuts . Another m achine produces only bolts at the rate of 75 bolts per m inute and needs to be cleaned for 10 m inutes after production of every 1500 bolts . If both the m achines s tart production at the s am e tim e, what is the m inim um duration required for producing 9000 pairs of nuts and bolts ?...
View Full Document

Ask a homework question - tutors are online