CAT 2017 Slot 2 Question Paper

Instructions

For the following questions answer them individually

CAT 2017 Slot 2 - Question 91


If $$9^{x-\frac{1}{2}}-2^{2x-2}=4^{x}-3^{2x-3}$$, then $$x$$ is

Video Solution

CAT 2017 Slot 2 - Question 92


If $$log(2^{a}\times3^{b}\times5^{c} )$$is the arithmetic mean of $$log ( 2^{2}\times3^{3}\times5)$$, $$log(2^{6}\times3\times5^{7} )$$, and $$log(2 \times3^{2}\times5^{4} )$$, then a equals

Backspace
789
456
123
0.-
Clear All
Video Solution

CAT 2017 Slot 2 - Question 93


Let $$a_{1},a_{2},a_{3},a_{4},a_{5}$$ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with $$2a_{3}$$
If the sum of the numbers in the new sequence is 450, then $$a_{5}$$ is

Backspace
789
456
123
0.-
Clear All
Video Solution

CAT 2017 Slot 2 - Question 94


How many different pairs(a,b) of positive integers are there such that $$a\geq b$$ and $$\frac{1}{a}+\frac{1}{b}=\frac{1}{9}$$?

Backspace
789
456
123
0.-
Clear All
Video Solution

CAT 2017 Slot 2 - Question 95


In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?

Backspace
789
456
123
0.-
Clear All
Video Solution

CAT 2017 Slot 2 - Question 96


How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?

Backspace
789
456
123
0.-
Clear All
Video Solution

CAT 2017 Slot 2 - Question 97


If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is

Backspace
789
456
123
0.-
Clear All
Video Solution

CAT 2017 Slot 2 - Question 98


Let $$f(x) =2x-5$$ and $$g(x) =7-2x$$. Then |f(x)+ g(x)| = |f(x)|+ |g(x)| if and only if

Video Solution

CAT 2017 Slot 2 - Question 99


An infinite geometric progression $$a_1,a_2,...$$ has the property that $$a_n= 3(a_{n+1}+ a_{n+2} + ...)$$ for every n $$\geq$$ 1. If the sum $$a_1+a_2+a_3...+=32$$, then $$a_5$$ is

Video Solution

CAT 2017 Slot 2 - Question 100


If $$a_{1}=\frac{1}{2\times5},a_{2}=\frac{1}{5\times8},a_{3}=\frac{1}{8\times11},...,$$ then $$a_{1}+a_{2}+a_{3}+...+a_{100}$$ is

Video Solution
cracku

Boost your Prep!

Download App