AIEEE Questions

Q:

Prasanna invested certain amount in three different schemes X, Y and Z with the rate of interest 10% p.a, 12% p.a and 15% p.a respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme Z was 150% of the amount invested in Scheme X and 240% of the amount invested in Scheme Y, what was the amount invested in Scheme Y by Prasanna ?

A) Rs.6000 B) Rs.4500
C) Rs.7500 D) Rs.5000
 
Answer & Explanation Answer: D) Rs.5000

Explanation:

Let a, b and c be the amounts invested in schemes X, Y and Z respectively. Then,

As we know:

Simple interest (S.I.) = PTR/100

(a × 10 × 1/100) + (b × 12 × 1/100) + (c × 15 × 1/100) = 3200

= 10a + 12b + 15c = 320000 .........(1)

Now, c = 240% of b = 12b/5 .........(2)

And, c = 150% of a = 3a/2 => a = 2/3 c = (2 × 12)b/(3 × 5) = 8b/5 .......(3)

From (1), (2) and (3), we have

16b + 12b + 36b = 320000 => 64b = 320000 => b = 5000

∴ Sum invested in Scheme Y = Rs.5000.

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Filed Under: Percentage
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Q:

What are the sides of the dna ladder made of

A) nitrates and sugars B) sugars and hydrates
C) sugars and phosphates D) phosphates and nitrates
 
Answer & Explanation Answer: C) sugars and phosphates

Explanation:

DNA is a double-stranded molecule twisted into a helix. The shape of DNA is a double helix, which is like a twisted ladder. The sides of the ladder are made of alternating sugar and phosphate molecules. Deoxyribose, which is a pentose, and a phosphate group are the two molecules together form the two sides of the DNA. The rungs of the ladder are pairs of 4 types of nitrogen bases.

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Filed Under: General Science
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Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 42 B) 72
C) 110 D) 152
 
Answer & Explanation Answer: D) 152

Explanation:

42 = 72 - 7

 92 - 9 = 72

 112 - 11 = 110

 122 + 8 = 152

Except 152, others show the same trend.

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Filed Under: Classification
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Q:

The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is 

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

Explanation:

The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways.

 

 Required no.of ways is = 7P6.6! = 7!.6!

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Filed Under: Permutations and Combinations
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Q:

To exit the PowerPoint application, you should

A) Double click the application control menu icon B) Click the application minimize button
C) Double click the document control menu icon D) Click the document close button
 
Answer & Explanation Answer: A) Double click the application control menu icon

Explanation:

To exit the PowerPoint application, you should Double click the application control menu icon or you can go to file menu and click exit button or you can close the window button.

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Q:

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

A) 5! B) 6!
C) 4! D) Can't determine
 
Answer & Explanation Answer: D) Can't determine

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Q:

Which type of rock usually underlies a karst landscape?

A) Limestone B) Quartz
C) Granite D) All the above
 
Answer & Explanation Answer: A) Limestone

Explanation:

Karst is a type of landscape that is characterized by caverns, caves, sinkholes, and underground streams. These features were all caused by erosion of the underlying rock.

 

Limestone type of rock usually underlies a karst landscape.

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Filed Under: Indian Geography
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Q:

Which combination will produce a precipitate?

A) NaOH (aq) and HCl (aq) B) KOH (aq) and Mg(NO3)2 (aq)
C) NaC2H3O2(aq) and HCl (aq) D) AgNO3(aq) and Ca(C2H2O3) (aq)
 
Answer & Explanation Answer: B) KOH (aq) and Mg(NO3)2 (aq)

Explanation:

In chemistry, a precipitate is an insoluble solid that emerges from a liquid solution. The emergence of the insoluble solid from solution is called precipitation.

Which_combination_will_produce_a_precipitate1558607544.jpg image

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Filed Under: Chemistry
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