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Algebra in CAT online Test

Given the quadratic equation , for what value of  will the sum of the squares of the roots be zero
-2
3
6
None of these
Which of the following values of  do not satisfy the inequality  at all?
1==2
-1==-2
0==2
0==-2
log2 [log7, then what could be the value of?
3
5
4
None of these
 and  are two integers such that  Which of the following cannot be the value of 
20
65
16
35
If the roots,  and , of the quadratic equation  also satisfy the equation , then which of the following is true?



None of these
One year payment to the servant is Rs.90 plus one turban. The servant leaves after 9 months and receives Rs.65 and a turban. Then find the price of the turban
10
15
7.5
Cannot be determined
You can collect rubies emeralds as many as you can. Each ruby is worth Rs.4 crores and each emerald is worth of Rs. 5 crores. Each ruby weights 0.3 kg. Your bag can carry at the most 12 kg. What you should collect to get the maximum wealth?
20 rubies and 15 emeralds
40 rubies
28 rubies and 9 emeralds
None of these
For the given pair  of positive integers, such that  and , how many integer values of  satisfy the given conditions
55
56
57
58
/
7
6
5
8
If , where  then  is equal to 
Zero
1
-1

/
7
6
5
8
If the harmonic mean between two positive numbers is to their geometric mean as 12:13; then the numbers could be in the ratio
12:13
1/12:1/13
4:9
2:3
If one root of  is 4, while the equation  has equal roots, then the value of  is
49/4
4/49
4
¼
Fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression?
7
64
56
Can’t be determined
What is the value of  which satisfies 
, or 



/
100
105
125
75
56-1 is divisible by
13
31
5
None of these
One root of  is square of the other, then, the value of  is
2
8
-8
-2
/
9/10
10/11
19/21
10/21
The value of  is
100
105
125
75
Description:

This test includes questions from Algebra. Targets CAT preparations.
Disclaimer: Content, such as images used in the questions (if any), have been picked up from various places for the sole purpose of Instruction.

Tags:

Algebra  CAT  MAT  XAT

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