Aptitude and Reasoning Questions

Q:

In each of these questions, two equations (I) and (II) are given.

I. 2x2+19x+42 = 0II. 4y2+43y+30 = 0

A)  x > y B) x < y
C)  x ≥ y D) x ≤ y
 
Answer & Explanation Answer:

Explanation:

I. 2x2 + 19x + 42 = 0

2x2 + 12x + 7x + 42 = 0

2x (x+6) + 7(x +6) = 0

(2x+7) (x+6) = 0 x = -7/2, -6 I

I. 4y2 + 43y + 30 = 0

4y2 +40y + 3y + 30 = 0

4y(y + 10) + 3(y + 10) (4y + 3)(y + 10) = 0

y = -3/4, -10

So answer is no relation.

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Filed Under: Simplification

2 55435
Q:

The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?

A) 12 B) 13
C) 14 D) 15
 
Answer & Explanation Answer: A) 12

Explanation:

(A+B) - (B+C) = 12

 

A - C = 12.

 

C is younger than A by 12 years.

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Filed Under: Problems on Ages

295 55431
Q:

The ratio of two numbers is 3 : 4 and their H.C.F is 4. Their L.C.M is 

A) 12 B) 16
C) 24 D) 48
 
Answer & Explanation Answer: D) 48

Explanation:

Let the numbers be  3x and 4x . Then their H.C.F = x. So, x=4

 Therefore, The numbers are 12 and 16

 L.C.M of 12 and 16 = 48

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Filed Under: HCF and LCM

127 55305
Q:

Select the related word from the given alternatives.

Lips : Smile:: Eyes : ?

A) Black B) Wink
C) Two D) Spectacles
 
Answer & Explanation Answer: B) Wink

Explanation:
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Filed Under: Analogy
Exam Prep: Bank Exams

1 55293
Q:

Which two months in a year have the same calendar?

A) October, December B) April, November
C) June, October D) April, July
 
Answer & Explanation Answer: D) April, July

Explanation:

If the period between the two months is divisible by 7, then that two months will have the same calender .

 
(a). Oct + Nov  = 31 + 30 = 61 (not divisible by 7)

(b). Apr + May + Jun + Jul + Aug + Sep + Oct = 30 + 31 + 30 + 31 + 31 + 30 + 31  = 214 (not divisible by 7)

(c). Jun + July + Aug + Sep = 30 + 31 + 31 + 30 = 122 (not divisible by 7)

(d). Apr + May + June = 30 + 31 + 30 = 91 (divisible by 7)

 

Hence, April and July months will have the same calendar.

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Filed Under: Calendar
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228 55289
Q:

 (3x + 2) (2x - 5) = ax² + kx + n .

What is the value of a - n + k ?

A) 5 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: A) 5

Explanation:

This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10

To find ‘a’ we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.

Thus a - n = 16

To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11

16 - 11 = 5

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Filed Under: Problems on Numbers
Exam Prep: GRE

4 55235
Q:

If 3x2 + kx + k = 0 has no solution, then the value of k will satisfy

 

A) k > -12 B) k > 12
C) k < 12 D) 0 < k < 12
 
Answer & Explanation Answer: D) 0 < k < 12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 55096
Q:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20 B) 29/34
C) 47/100 D) 13/102
 
Answer & Explanation Answer: D) 13/102

Explanation:

Let S be the sample space.

 

Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326.

 

Let E = event of getting 1 spade and 1 heart.

 

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = 13C1*13C1 = 169.

 

P(E) = n(E)/n(S) = 169/1326 = 13/102.

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Filed Under: Probability

95 55018