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In the following question, there are two equations. Solve them and give answer I. 20P^2 + 31P + 12 = 0 II. 21Q^2 + 23Q + 6 = 0

A. P > Q
B. P < Q
C. P ≤ Q
D. P ≥ Q

B. P < Q

I. 20P²+31P+ 12 = 0

On doing factorization

20P²+15P+16P+12 = 0
5P (4P + 3) + 4 (4P + 3) = 0
(4P + 3) (5P + 4) = 0
P = -3/4, -4/5 P — 0.75, -0.80

II. 21Q² + 23Q + 6 = 0

On doing factorization

21Q² + 9Q + 14Q + 6 = 0
3Q (7Q + 3) + 2 (7Q + 3) = 0
(7Q + 3)(3Q + 2) = 0
Q = -3/7, -2/3 Q = – 0.43, -0.66

On taking Q = – 0.43

P < Q (for both the values of P) equation I

On taking Q = -0.66

P < Q (for both the values of P) equation II

From equation I and II
P < Q

In the following question, there are two equations. Solve them and give answer I. 20P^2 + 31P + 12 = 0 II. 21Q^2 + 23Q + 6 = 0 Read More »

In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer. I. x^2 + 3x + 2 = 0 II. 2y^2 = 5y

A. x < y
B. x > y
C. x ≤ y
D. x = y

A. x < y

We will separately solve both equations

Equation 1:
x²+3x+2=0
x²+2x+x+2=0
x (x + 2)+1 (x +2)= 0
(x + 2) * (x + 1)= 0
x=-2 , x=-1

Equation 2:
2y² = 5y
2y² – 5y = 0
2y * (y – 5/2) = 0
y=0 , y= 5/2

Both values of y are positive while both values of x are negative
x<y

In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer. I. x^2 + 3x + 2 = 0 II. 2y^2 = 5y Read More »

A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?

A. 160
B. 180
C. 240
D. 280

D. 280

Let the required number be x
So, as per the question, we have
3x/4 – 3x/14 = 150
(21x-6x)/28 = 150
x = (150*28)/15
x = 280

Thus, the given number is 280

A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation? Read More »

If Asif is standing in a queue in such a way that he is sixth in the queue from either side, then how many people are there in the queue?

A. 11
B. 12
C. 9
D. 14

A. 11

Let, the five people from one side be A,B,C,D,E

and the five people from other side be V,W,X,Y,Z

then the queue will be

A, B, C, D, E, Asif, V, W, X, Y, Z

therefore, 11 people are there in the queue.

Submitted by: Admin

If Asif is standing in a queue in such a way that he is sixth in the queue from either side, then how many people are there in the queue? Read More »

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is?

A. 20
B. 30
C. 48
D. 58

B. 30

Let the three numbers be A,B and C respectively
A:B = 2:3 ———— i
B:C = 5:8 ———— ii

Multiplying (i) by 5 and (ii) by 3,

A:B = 10:15
B:C = 15:24

A:B:C=10:15:24

Sum of ratio = 10+15+24=49
B = (15/49)*90
​B = 30

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is? Read More »

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