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There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12	B) 2/14
C) 1/14	D) 2/13

A) 1/12

B) 2/14

C) 1/14

D) 2/13

Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

2 4242

Find the value of $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$ ?

A) 0	B) 1
C) 3	D) 5

A) 0

B) 1

C) 3

D) 5

Answer & Explanation Answer: C) 3

Explanation:

Given $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$

= $\sqrt{\frac{1.21 x 100 x 0.9 x 10}{1.1 x 10 x 0.11 x 100}}$

= $\sqrt{9}$

= 3.

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Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 4233

Math Logic Challenge

18582095_1309614185812349_1823149961450714717_n1499156071.jpg image

A) 23	B) 26
C) 13	D) 29

A) 23

B) 26

C) 13

D) 29

Answer & Explanation Answer: B) 26

Explanation:

Let the integer be x. Then,

$x^{2} - 20 x = 156$

(x + 6)(x - 26) = 0

x = 26

The integer is 26.

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Filed Under: Math Puzzles
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

12 4231

Name another word for friend?

A) playfellow	B) enemy
C) rival	D) foe

A) playfellow

B) enemy

C) rival

D) foe

Answer & Explanation Answer: A) playfellow

Explanation:

Friend is a person with whom one has a bond of mutual affection, typically one exclusive of sexual or family relations.

Other names for friend are mate, bosom friend, classmate, buddy, ally,...

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Filed Under: English
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

11 4231

There is a 3 digited number. 3rd digit is the square root of the 1st digit. 2nd digit is the sum of 1st and 3rd. And that number is divisible by 2,3,6,7. What is that number?

A) 121	B) 943
C) 462	D) None

A) 121

B) 943

C) 462

D) None

Answer & Explanation Answer: C) 462

Explanation:

Assume that the number is taken as XYZ.
Condition 1 => Z = sq.root(x) => Possible digits of X is 1,4,9
Condition 2 => Y = X + Z
X Y Z
1 2 1
4 6 2
9 12 3 => (wrong because it is 4 digit.)

and 121 is not divisible by 2

The answer is 462.

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

3 4225

There is sufficient salary to give K for 10 days and L for 15 days. Then how many days will the money last if both has to be given the salary ?

A) 6 days	B) 12 days
C) 4 days	D) 9 days

A) 6 days

B) 12 days

C) 4 days

D) 9 days

Answer & Explanation Answer: A) 6 days

Explanation:

K's 1 day's salary = 1/10
L's 1 day's salary = 1/15
Together their 1 day's salary = 1/10 + 1/15
= 3/30 + 2/30
= 5/30
= 1/6
So the money will be enough for paying them both for 6 days.

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