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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Direction: Q(1-5) Solve the equations and
Mark A if Quantity 1>Quantity 2
Mark B if Quantity 1<Quantity 2
Mark C if Quantity 1≥Quantity 2
Mark D if Quantity 1≤Quantity 2
Mark E if Quantity 1 is not related/equal to Quantity 2

Direction: Q(1-5) Solve the equations and
Mark A if Quantity 1>Quantity 2
Mark B if Quantity 1<Quantity 2
Mark C if Quantity 1≥Quantity 2
Mark D if Quantity 1≤Quantity 2
Mark E if Quantity 1 is not related/equal to Quantity 2

Direction: Q(1-5) Solve the equations and
Mark A if Quantity 1>Quantity 2
Mark B if Quantity 1<Quantity 2
Mark C if Quantity 1≥Quantity 2
Mark D if Quantity 1≤Quantity 2
Mark E if Quantity 1 is not related/equal to Quantity 2

Direction: Q(1-5) Solve the equations and
Mark A if Quantity 1>Quantity 2
Mark B if Quantity 1<Quantity 2
Mark C if Quantity 1≥Quantity 2
Mark D if Quantity 1≤Quantity 2
Mark E if Quantity 1 is not related/equal to Quantity 2

Quantity1-x^{2}+113x+3192=0 Quantity2- The number(s) whose square exceed a perfect square by 109?

Correct

Explanation:
Quantity1-(x+56)(x+57)=0
Quantity 2-Let the number be N
N^{2}-x^{2}=109
As 109 is prime no factors other than 1 and 109
(N-x)(N+x)=109
N=55,-55

Incorrect

Explanation:
Quantity1-(x+56)(x+57)=0
Quantity 2-Let the number be N
N^{2}-x^{2}=109
As 109 is prime no factors other than 1 and 109
(N-x)(N+x)=109
N=55,-55

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

Direction: Q(1-5) Solve the equations and
Mark A if Quantity 1>Quantity 2
Mark B if Quantity 1<Quantity 2
Mark C if Quantity 1≥Quantity 2
Mark D if Quantity 1≤Quantity 2
Mark E if Quantity 1 is not related/equal to Quantity 2

Quantity1-x^{2}-106x+693=0 Quantity2– The number by which the difference of any 41 digit number and its reverse is divisible by?

Consider the system of equations below.
a + 2b + 2c + 2d = –4
2a + b + 2c + 2d = 3
2a + 2b + c + 2d = 2
2a + 2b + 2c + d = –1 The product of a, b, c, d is

Correct

Explanation:
Add all the equations
=7a+7b+7c+7d=0
A+b+c+d=0
Therefore 2a+2b+2c+2d=0
Now keep on subtracting each equation individually
A=4,b=-3,c=-2,d=1

Incorrect

Explanation:
Add all the equations
=7a+7b+7c+7d=0
A+b+c+d=0
Therefore 2a+2b+2c+2d=0
Now keep on subtracting each equation individually
A=4,b=-3,c=-2,d=1

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

The students of a class are divided into 3 groups depending on their performance in a test – the top, middle and bottom. The top group consists of 45% of the students, the middle group consists of 30% of the students and the rest are in the bottom group. The average marks of the bottom group are 20, those of the middle are 25 while the average marks for the entire class are 26 Find the average marks of the top group.

Correct

Explanation:
Let total students=100
20*25+25*30+45*x=100*26
X=30

Incorrect

Explanation:
Let total students=100
20*25+25*30+45*x=100*26
X=30

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

P and Q are two towns connected by a direct road. Biswas started from Q at 9 00 a.m. and travelled towards P. Alok started from P at 11:24 a.m. and travelled towards Q. They crossed each other at 12:36 p.m. Biswas reached P 66 min before Alok reached Q. When did Biswas reach P?

Correct

Incorrect

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

Two vessels contain milk and water in the ratio 9 : 4 and 3 : 7 respectively. In what ratio should the contents of these vessels be mixed, if the resultant mixture should contain milk and water in the ratio 10 : 11?

Correct

Explanation:

Incorrect

Explanation:

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

If x and y are distinct prime numbers less than 30, how many ordered pairs (x, y) satisfy the inequality 4x + y > 100?

Correct

Explanation:
If x and y are distinct prime numbers less than 30, how many ordered pairs (x, y) satisfy the inequality 4x + y > 100?
Prime numbers less than 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
y can be a maximum Of 29. Hence, x has to be greater than 17.
If x is 19, y can be 29. (1 possibility)
If x is 23.y can be 11, 13, 17, 19 and 29. (5 possibilities)
If x is 29.y can be any prime number less than 30 except 29. (9 possibilities)
Total number of possibilities 15.

Incorrect

Explanation:
If x and y are distinct prime numbers less than 30, how many ordered pairs (x, y) satisfy the inequality 4x + y > 100?
Prime numbers less than 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
y can be a maximum Of 29. Hence, x has to be greater than 17.
If x is 19, y can be 29. (1 possibility)
If x is 23.y can be 11, 13, 17, 19 and 29. (5 possibilities)
If x is 29.y can be any prime number less than 30 except 29. (9 possibilities)
Total number of possibilities 15.