AIEEE Questions

Q:

In how many ways can letter of the word RAILINGS arrange so that R and S always come together?

A) 1260 B) 2520
C) 5040 D) 1080
 
Answer & Explanation Answer: C) 5040

Explanation:

The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is

 

Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!

 

But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

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Filed Under: Permutations and Combinations
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Q:

A natural number, when divided by 9, 10, 12 or 15, leaves a remainder of 3 in each case. What is the smallest of all such numbers?

A) 183 B) 153
C) 63 D) 123
 
Answer & Explanation Answer: A) 183

Explanation:

LCM of 9,10,12,15 is 180
Smallest natural number to get remainder of 3 is (180 + 3) = 183

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Filed Under: HCF and LCM
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Q:

Dhoni ,Raina ,Kohli and Sikhar have all played 5 innings each and each scored 131 runs.The players Score Card is given below : 100,90,85,80,30,25,20,20,15,15,10,10,10,3,3,3,2,1,1,1.

 Given hints are:

 1. Dhoni & Raina have scored different runs in 4 innings however in one innings they have scored same runs.

2. Shikhar & Kohli have also scored different runs in 3 innings however their indivitual score is same throughout 2 innings(meaning each has scored same run twice in 2 innings). 

3. Shikhar's highest score is greater than that of Kohli's highest score.

4. Only Shikhar has scored more than 1 run in each innings.

5. Raina's hiighest score is greater than that of Dhoni's highest score.

Questions :

1. Who scored century in one innings ?
2. Who scored 35 runs in 2 consecutive innings ?
3. Who scored 30 runs in one innings ?

Answer

Scores of individuals :


Dhoni= 80,30,10,10,1
Raina=100,25,3,2,1
Kholi=85,20,15,10,1
Shikhar=90,20,15,3,3


Above combination satisfies all conditions given in the question.


Answer 1) Raina


Answer 2) Kohli and Shikhar


Answer 3) Dhoni

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Q:

What is the principle carbohydrate of milk?

A) Fructose B) Sucrose
C) Lactose D) Galactose
 
Answer & Explanation Answer: C) Lactose

Explanation:

Lactose is the major carbohydrate in the milk of most species.

 

Lactose is a disaccharide composed of the monosaccharides D-glucose and D-galactose, joined in a ß-1,4-glycosidic linkage. The chemical name for lactose is 4-0-ß-D-galactopyranosyl-D-glucopyranose.

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Filed Under: General Science
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Q:

Gear Lapping is an operation

A) for gear reconditioning B) prior to heat treatment
C) after heat treatment D) None of the above
 
Answer & Explanation Answer: C) after heat treatment

Explanation:

Gear Lapping is an operation after heat treatment. Gear lapping is the process of imparting a very fine finish and high degree of accuracy to gear teeth, by using a lapping tool and applying a fine-grained abrasive between a work material and a closely fitting surface, called a lapping plate.

Gear_Lapping_is_an_operation1554186430.jpg image

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Filed Under: Physics
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Q:

Which player has become the first left-arm spinner to take 400 wickets in Test cricket ?

A) Ravindra Jadeja B) Mitchell Starc
C) Rangana Herath D) Kuldeep Yadav
 
Answer & Explanation Answer: C) Rangana Herath

Explanation:
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Filed Under: Sports
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Q:

A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days  ?

A) 51/24 B) 87/5
C) 57/12 D) 60/11
 
Answer & Explanation Answer: D) 60/11

Explanation:

A can complete the work in 12 days working 8 hours a day

=> Number of hours A can complete the work = 12×8 = 96 hours 

=> Work done by A in 1 hour = 1/96

 

B can complete the work in 8 days working 10 hours a day

=> Number of hours B can complete the work = 8×10 = 80 hours 

=> Work done by B in 1 hour = 1/80

 

Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480

 => A and B can complete the work in 480/11 hours

 

A and B works 8 hours a day.

Hence total days to complete the work with A and B working together 

= (480/11)/ (8) = 60/11 days

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Filed Under: Time and Work
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Q:

Which is not a sediment transporting agent?

A) Stratification B) Windstorms
C) Glacial Ice D) Stream water
 
Answer & Explanation Answer: A) Stratification

Explanation:

Stratification as actually the settling down of sediments with different properties to form layers/strata over years. Stratification especially occurs on the bed of water bodies such as oceans.

 

Stratified sedimentary rocks are used to study the ecological conditions over previous years/eras.  

 

The other choices like Windstorms, Glacial Ice and Stream water are mediums which sediments are transported.

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