Exams


Q:

Water is a compound because it?

A) it contains two different elements joined by chemical bond B) it contains hydrogen & oxygen
C) it exists as solid, liquid or gas D) it cannot be split up into simpler substances by chemicals means
 
Answer & Explanation Answer: A) it contains two different elements joined by chemical bond

Explanation:

We know that All compounds are molecules, but not all molecules are compounds.

Water is a molecule because it is made from atoms that have been chemically combined. It is also a compound because the atoms that make water are not all the same - some are oxygen and some are hydrogen.

 

Hence, Water is a molecule and a compound.

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Q:

Jeopardy : Peril :: Jealousy : ?

A) Lust B) Sin
C) Envy D) Insecurity
 
Answer & Explanation Answer: C) Envy

Explanation:

First is a more intense form of the second. Here Jeopardy is the more intense form of Peril and we know that Jealousy is the more intense form of Envy.

 

Hence, Jeopardy : Peril :: Jealousy : Envy.

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Filed Under: Analogy
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Q:

The Value of  logtan10+logtan20++logtan890 is

A) -1 B) 0
C) 1/2 D) 1
 
Answer & Explanation Answer: B) 0

Explanation:

= log tan10+log tan890 + log tan20+ log tan880++log tan450  

 

= log [tan10 × tan890] + log [tan20 × tan880 ] ++log1  

 

 tan(90-θ)=cotθ and tan 450=1  

 

= log 1 + log 1 +.....+log 1 

 

= 0.

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Filed Under: Logarithms
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Q:

Can you slove this Maths Puzzle?

maths_puzzle1537500715.jpg image

A) 12 B) 6
C) 3 D) 1
 
Answer & Explanation Answer: B) 6

Explanation:

In the given puzzle, the logic behind is

9 = 72 => 9 x 8 = 72

8 = 56 => 8 x 7 = 56

7 = 42 => 7 x 6 = 42

6 = 30 => 6 x 5 = 30

5 = 20 => 5 x 4 = 20

 

Similarly,

4 = 12 => 4 x 3 = 12

3 = 6 => 3 x 2 = 6

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Q:

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec B) 3.44 sec
C) 4.65 sec D) 5.41 sec
 
Answer & Explanation Answer: B) 3.44 sec

Explanation:

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

 

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Q:

There are 5 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next two have 6 choices each?

A) 1112 B) 2304
C) 1224 D) 2426
 
Answer & Explanation Answer: B) 2304

Explanation:

Number of questions = 5
Possibilities of choices for each question 1 to 5 respectively = 4, 4, 4, 6, 6


Reuired total number of sequences

= 4 x 4 x 4 x 6 x 6

= 2304.

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Filed Under: Permutations and Combinations
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Q:

A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ?

A) 97 % B) 110 %
C) 135 % D) 115 %
 
Answer & Explanation Answer: B) 110 %

Explanation:

% Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

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Filed Under: Profit and Loss
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Q:

Rice worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety of rice per kg?

A) Rs. 571.25 B) Rs. 175.5
C) Rs. 751.75 D) Rs. 850
 
Answer & Explanation Answer: B) Rs. 175.5

Explanation:

Let the price of required variety = Rs. P/kg

Then, respective amounts were m kg, m kg and 2m kg

= 126m + 135m + 2pm = 153 x 4m

=> 2p = 351

p = 175.5 / kg

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Filed Under: Ratios and Proportions
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