GATE Questions

Q:

If L exceeds K by 30%, then K is less than L by ?

A) 14 2/5 % B) 23 1/3 %
C) 20 % D) 16 %
 
Answer & Explanation Answer: B) 23 1/3 %

Explanation:

K = 100 L = 130
130------ 30
100------- ? => 23 1/13 %

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Q:

Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

A) 1 : 3 B) 2 : 1
C) 3 : 1 D) 1 : 2
 
Answer & Explanation Answer: B) 2 : 1

Explanation:

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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Q:

How many Months of the year have 28 Days?

A) 12 B) 7
C) 5 D) 6
 
Answer & Explanation Answer: A) 12

Explanation:

We have 12 months.

In every month we get 28 or more days. 

So that implies we get 28 days in each and every month.

 

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Q:

Only For Geniuses

Solve this MathPuzzle if you can?

num11515666627.jpg image

Answer

Let the required number be 'X'


Condition 1 :  


XX = 2X  => 2X2 = X => X = 12


 


Condition 2 :


X × X = X2=> X = 12


 


Therefore, 12 is the number which becomes double when it is divided by itself and becomes half when it is multiplied by itself.


 

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Q:

Selling price of a cellphone is increased by 20%. For this sale is decreased by 30%. Find the effect of total sales?

A) 16% B) 14.5%
C) 12% D) 10.5%
 
Answer & Explanation Answer: A) 16%

Explanation:

Let cost of each cell phone = Rs.100 & Sale = 100 phones.

Money receipt = Rs.(100 x 100) = Rs.10,000

New cost per cellphone = Rs.120 and New sale = 70 phones

New Money Receipt = Rs.(70 x 120) = Rs.8400

Then the effect of sales = decrease in money receipt = 

160010000 x 100 = 16%.

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Q:

Express 0.875 and 0.375 as a Fraction.

A) 3/11 & 7/11 B) 7/9 & 9/13
C) 7/8 & 3/8 D) 7/9 & 9/11
 
Answer & Explanation Answer: C) 7/8 & 3/8

Explanation:

Given 0.875 and 0.375

0.875 ::

After decimal point there are 3 digits 875

Now, mutiply and divide 0.875 with 1000

0.875 x 10001000 = 8751000 Now, this can be reduced to fraction 78Therefore, 0.875 as fraction = 78

Similarly,

0.375 :: 

After decimal point there are 3 digits 375

Now, mutiply and divide 0.375 with 1000

0.375 x 10001000 = 3751000Now, this can be reduced to fraction 38Therefore, 0.375 as fraction = 38

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Filed Under: Decimal Fractions
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Q:

A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ? 

A) 77% B) 88%
C) 100% D) 99%
 
Answer & Explanation Answer: C) 100%

Explanation:

IBPS RRB Clerk Level Quiz : Quantitative Aptitude | 15 -09 - 17

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Q:

Can you Solve the Problem ?

SOLVE1500443612.jpg image

Answer

Let the two digits be x & y


From given data in the question, we get


x + y = 3(x - y)


x + y = 3x - 3y


=> 2x = 4y


x/y = 2/1


For having the 2:1, numbers satisfying are


12, 21, 24, 42, 36, 63, 48, 84


From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares.


Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

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Subject: Math Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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