AIEEE Questions

Q:

Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.

If the first three statements are facts, which of the following statements must also be a fact?
I. All caps have brims.
II. Some baseball caps are blue.
III. Baseball caps have no brims.

A) I only B) II only
C) I, II, and III D) None of the statements is a fact.
 
Answer & Explanation Answer: D) None of the statements is a fact.

Explanation:

All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III—but it doesn’t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.

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Filed Under: Statement and Conclusions
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4 41668
Q:

A trader sold an article at a loss of 5% but when he increased the selling price by Rs.65 he gained 3.33% on the cost price. If he sells the same article at Rs. 936, what is the profit percentage?

A) 15% B) 16.66%
C) 20% D) data insufficient
 
Answer & Explanation Answer: C) 20%

Explanation:

103.33 CP- 0.95 CP = 65

 

 CP = Rs. 780 

 

profit (%) = (936 - 780)/780  x 100 = 20%

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Filed Under: Profit and Loss
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126 41606
Q:

7 is to 34 as 5 is to

A) 33 B) 24
C) 54 D) 41
 
Answer & Explanation Answer: D) 41

Explanation:

We can get this by any of two explanations.

 

Answer 1: 41

7 = 3 + 4  = 34

Similarly, 5 = 4 + 1  = 41

 

Answer 2 :  41

7 - 3 = 4  => 34

Similarly, 5 - 4 = 1  => 41

 

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Filed Under: Arithmetical Reasoning
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121 41524
Q:

Transition : Change :: Immobility :  ?

A) Stillness B) Liveliness
C) Action D) Busyness
 
Answer & Explanation Answer: A) Stillness

Explanation:

Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,...

 

Hence, Transition is to change as immobility is to stillness.

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Filed Under: Analogy
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37 41460
Q:

FInd the odd man out of the given series of numbers?

120, 36, 6, 2, 1, 1

A) 120 B) 36
C) 6 D) 2
 
Answer & Explanation Answer: B) 36

Explanation:

The given number series is 120, 36, 6, 2, 1, 1

120

120/5 = 24 (not 36)

24/4 = 6

6/3 = 2

2/2 = 1

1/1 = 1

 

Hence, the odd man in the given number series is 24.

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1 41394
Q:

Statements :
All keys are locks.
All locks are bangles.
All bangles are cars.


Conclusion :
a. Some cars are locks.
b. Some bangles are keys.
c. Some cars are keys.

A) Only a follows B) Only c follows
C) Only a & b follows D) a, b & c follows
 
Answer & Explanation Answer: D) a, b & c follows

Explanation:

All locks are bangles + All bangles are cars = A + A = A
= All locks are cars => Some cars are locks.
Hence conclusion (a) follows.
All keys are locks + All locks are bangles = A + A = A
= All keys are bangles => some bangles are keys.
Hence conclusion (b) follows.
All keys are bangles + All bangles are cars = A + A = A
= All keys are cars => Some cars are keys.
Hence conclusion (C) follows.

 

 

 

Thus all a, b and c follows.

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Filed Under: Statement and Conclusions
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4 41354
Q:

Find the odd man out from the given series?

8, 18, 56, 232, 1165 

A) 18 B) 56
C) 232 D) 1165
 
Answer & Explanation Answer: B) 56

Explanation:

The given number series 8, 18, 56, 232, 1165 

8

8 x 2 + 2 = 18

18 x 3 + 3 = 57 (not 56)

57 x 4 + 4 = 232

232 x 5 + 5 = 1165

 

Hence, the odd man in the given series is 56.

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2 41321
Q:

Find the next number in the sequence?

28, 16, 28, 76, 274

A) 1233 B) 1243
C) 1256 D) 1276
 
Answer & Explanation Answer: B) 1243

Explanation:

Given number sequence is 28, 16, 28, 76, 274

Here the sequence follows a pattern that

28

28 x 0.5 + 2 = 14 + 2 = 16

16 x 1.5 + 4 = 24 + 4 = 28

28 x 2.5 + 6 = 70 + 6 = 76

76 x 3.5 + 8 = 266 + 8 = 274

274 x 4.5 + 10 = 1233 + 10 = 1243

 

Hence, the next number in the given number sequence is 1243.

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1 41309