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Q:

The concentration of glucose in three different mixtures (glucose and alcohol) is $\frac{1}{2}, \frac{3}{5} a n d \frac{4}{5}$ respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. What is the ratio of glucose and alcohol in the new mixture?

A) 3:2	B) 4:3
C) 2:3	D) 3:4

Answer & Explanation Answer: A) 3:2

Explanation:

Concentration of glucose are in the ratio = $\frac{1}{2} : \frac{3}{5} : \frac{4}{5}$

Quantity of glucose taken from A = 1 liter out of 2

Quantity of glucose taken from B = 3/5 x 3 = 1.5 lit

Quantity of glucose taken from C = 0.8 lit

So, total quantity of glucose taken from A,B and C = 3.6 lit

So, quantity of alcohol = (2 + 3 + 1) - 3.6 = 2.4 lit

Ratio of glucose to alcohol = 3.6/2.4 = 3:2

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Filed Under: Alligation or Mixture
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Q:

7 9 19 18 31 29

Find the odd number in the given Number Series?

A) 31	B) 29
C) 18	D) 19

Answer & Explanation Answer: B) 29

Explanation:

Here the given number series follows a pattern of two alternate series.

1. 7 19 31 ...(Difference of 12)

2. 9 18 27 ...(Difference of 9)

Here the odd number is 29 instead of 27

And the next number is 31 + 12 = 43 & 27 + 9 = 36

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Filed Under: Odd Man Out
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Q:

Simplify $(2 \sqrt{392} - 21) + {(\sqrt{8} - 7)}^{2} = {(?)}^{2}$

A) 4	B) 5
C) 6	D) 9

Answer & Explanation Answer: C) 6

Explanation:

${(?)}^{2} = (2 \times 7 \sqrt{8} - 21 + 8 + 49 - 14 \sqrt{8}) = 57 - 21 = 36 = > ? = \pm 6$

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Filed Under: Simplification
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Q:

9 17 11 19 13

What Are The Next Three Numbers In The Given Number Series?

A) 17, 10, 18	B) 19, 14, 23
C) 21, 15, 23	D) 19, 13, 22

Answer & Explanation Answer: C) 21, 15, 23

Explanation:

Given number series is 9 17 11 19 13

Here the pattern is

9

9 + 8 = 17

17 - 6 = 11

11 + 8 = 19

19 - 6 = 13

13 + 8 = 21

21 - 6 = 15

15 + 8 = 23

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Filed Under: Odd Man Out
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Q:

19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?

A) Rs. 1398.96	B) Rs. 1457.09
C) Rs. 1662.35	D) Rs. 1536.07

Answer & Explanation Answer: D) Rs. 1536.07

Explanation:

Let average expenditure was Rs. R

13 x 79 + 6x(R + 4) = 19R

=> R = Rs. 80.84

Total money = 19 x 80.84 = Rs. 1536.07.

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Filed Under: Average
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Q:

$\sqrt[3]{9261} x \sqrt{62742241} = ? + 89$

Find the value of '?'

A) 166251	B) 166259
C) 166252	D) 166253

Answer & Explanation Answer: C) 166252

Explanation:

Given $\sqrt[3]{9261} x \sqrt{62742241} = ? + 89$

Using unit digit method,

On LHS,

1 x 1 x 1 = 1

sqrt of last digit 1 => it must end with either 9 or 1

so now

1 x 1 = 1

1 x 9 = 9

On RHS,

? + 89

=> ? = ...1 - 89 = last digit is 11- 9 = 2

or

=> ? = ...9 - 89 = last digit is 9 - 9 = 0

Here in the options last digit 2 is option C.

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Filed Under: Simplification
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Q:

Find the errors in the below given A, B, C & D sentences.

$\frac{F o r m e r p r i m e m i n i s t e r r u l e d h i m s e l f o u t}{(A)} / \frac{a s a n a l t e r n a t i v e r i g h t w i n g c a n d i d a t e f o r h i s p a r t y c o l l e a g u e}{(B)} /$

$\frac{w h o s e c a m p a i g n h a s b e e n t h r o w n i n t o c h a o s}{(C)} / \frac{b y a f a k e j o b s s c a n d a l}{(D)}$

A) A & C	B) B & D
C) A & D	D) C & B

Answer & Explanation Answer: C) A & D

Explanation:

A) As prime minister is an honorable person it must start with an Article 'The'.

D) a fake jobs => a indicates it is singular, so job will come.

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Filed Under: Verification of Truth of the statement
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Q:

194, 194, 191, 183, 168, ?

Find the next number in the above series?

A) 154	B) 156
C) 144	D) 143

Answer & Explanation Answer: C) 144

Explanation:

Here the series follows,

194

194 - (1x1 - 1) = 194

194 - (2x2 - 1) = 191

191 - (3x3 - 1) = 183

183 - (4x4 - 1) = 168

168 - (5x5 - 1) = 144

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Filed Under: Odd Man Out
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