AIEEE Questions and Answers with Explanation

Q:

What should come in place of question mark (?) in the following number series?

132 156 ? 210 240 272

A) 196	B) 182
C) 199	D) 204

Answer & Explanation Answer: B) 182

Explanation:

The given series follows a logic that

11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,...

So the missing number is 13 x 14 = 182

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Q:

What was the day on 15th august 1947 ?

A) Friday	B) Saturday
C) Sunday	D) Thursday

Answer & Explanation Answer: A) Friday

Explanation:

15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)

15th_August_1947_day1534219857.jpg image

Odd days in 1600 years = 0

Odd days in 300 years = 1

46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day

Jan. Feb. Mar. Apr. May. Jun. Jul. Aug

( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.

Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days.

Hence, as the number of odd days = 5 , given day is Friday.

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Q:

Consider the following statements

P : Suman is brilliant
Q : Suman is rich
R : Suman is honest

The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

1) $(P \land ~ R) \leftrightarrow Q$

2) $~ (P \land R) \leftrightarrow Q$

3) $Q \leftrightarrow (P \land ~ R)$

4) $~ (Q \leftrightarrow (P \land ~ R))$

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: D) 4

Explanation:

Suman is brilliant and dishonest is P $\land$ ~ R
Suman is brilliant and dishonest iff suman is rich is
Q $\leftrightarrow$ (P $\land$ ~ R)

Negative of statement is expressed as
~ (Q $\leftrightarrow$ (P $\land$ ~ R)).

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Filed Under: Arithmetical Reasoning
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Q:

C L R T B Q S M A P D I N F J K G Y X

Four of the following five are alike in a certain way and so form group. Which is the one that does not belong to the group?

1. LBT 2.IJF 3. PID 4. BMS

A) BMS	B) LBT
C) IJF	D) PID

Answer & Explanation Answer: D) PID

Explanation:

$L \overset{+ 3}{\to} B \overset{- 1}{\to} T$

$I \overset{+ 3}{\to} J \overset{- 1}{\to} F$

$P \overset{+ 2}{\to} I \overset{- 1}{\to} D$

$B \overset{+ 3}{\to} \overset{- 1}{\to} S$

Therefore, PID is not in the form of other patterns.

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Q:

Boron cannot form which one of the following anions?

(1) $B O_{2}^{-}$

(2) $B F_{6}^{3 -}$

(3) $B H_{4}^{-}$

(4) $B (O H)_{4}^{-}$

A) Option 1	B) Option 2
C) Option 3	D) Option 4

Answer & Explanation Answer: B) Option 2

Explanation:

Due to absence of low lying vacant d orbital in B, $s p^{3} d^{2}$ hybridization is not possible hence $B F_{6}^{3 -}$ will not formed.

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Filed Under: Chemistry
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Q:

What is the age of Teja?

A: Four years ago, Raju was as old as Teja is at present.

B: Sita’s present age is two times of Raju’s present age.

C: The average age of Teja and Sita is 19 years.

A) Any two statements are sufficient to give answer	B) Only C is sufficient
C) All of three statements are necessary to give answer	D) Even using all the three statements answer cannot be found

Answer & Explanation Answer: C) All of three statements are necessary to give answer

Explanation:

From the given statements A, B & C

Let the present age of Teja = P

Raju present age = P + 4

Sita's present age = 2(P + 4)

Average of ages of Sita & Teja = 19

=> (2P + 8 + P)/2 = 19

= 3P + 8 = 38

=> P = 30/3 = 10

Hence, the present age of Teja = P = 10 yrs.

Therefore, by using all the three statements A, B & C we can find the age of Teja.

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Filed Under: Problems on Ages
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Q:

Today is Monday. After 61 days, it will be :

A) Tuesday	B) Monday
C) Sunday	D) Saturday

Answer & Explanation Answer: D) Saturday

Explanation:

Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday.

After 61 days, it will be Saturday.

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Filed Under: Calendar
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Q:

Among the following the maximum covalent character is shown by the compound

(1) $M g C l_{2}$

(2) $F e C l_{2}$

(3) $S n C l_{2}$

(4) $A l C l_{3}$

A) Option 1	B) Option 2
C) Option 3	D) Option 4

Answer & Explanation Answer: D) Option 4

Explanation:

According to Fajans rule, cation with greater charge and smaller size favours covalency.

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Filed Under: Chemistry
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