Aptitude and Reasoning Questions

Q:

A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.

A) 107 B) 117
C) 127 D) 137
 
Answer & Explanation Answer: B) 117

Explanation:

Let us calculate both the length and width of the room in centimeters.

Length = 6 meters and 24 centimeters = 624 cm

width = 4 meters and 32 centimeters = 432 cm

As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.

Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 624 and 432 = 48

Thus, the number of square tiles required = (624 x 432 ) / (48 x 48) = 13 x 9 = 117

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Filed Under: HCF and LCM

20 11413
Q:

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?

A) 4!/2! B) 3!/2!
C) (4! x 3!) / 2! D) 36
 
Answer & Explanation Answer: C) (4! x 3!) / 2!

Explanation:

ABACUS is a 6 letter word with 3 of the letters being vowels.

 

If the 3 vowels have to appear together, then there will 3 other consonants and a set of 3 vowels together.

 

These 4 elements can be rearranged in 4! Ways.

 

The 3 vowels can rearrange amongst themselves in 3!/2! ways as "a" appears twice.

 

Hence, the total number of rearrangements in which the vowels appear together are (4! x 3!)/2!

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Q:

The average monthly salary of the employees of a firm is Rs.60 out of the employees 12 officers get an average of Rs.400 per month and the rest an average of Rs. 56 per month , Find the number of emp

Answer

Actual average salary of 12 officers = 400


\inline \fn_jvn \therefore Total salary of 12 officers = 400 x 12 = 4800


Average of these 12  officers as a whole =60


Total salary of 12 officers as a whole = 60 x 12 = 720


The total salary of rest  = 4800 - 720 = 4080


Difference in average of the rest of officers  = 60 - 56 = 4


Rest of the officers = \inline \fn_jvn \frac{4080}{4}=1020


Total number of employees = 1020 + 12 = 1032

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Subject: Average

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Q:

The ratio of Mohit’s and Sunil’s age at present is 7 : 9. Mohit is 4 years younger than Sunil. What will be the ratio of Mohit’s age and Sunil’s age after 6 years?

 

A) 5 : 6 B) 4 : 5
C) 6 : 7 D) 5 : 7
 
Answer & Explanation Answer: A) 5 : 6

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams
Job Role: Bank Clerk

31 11399
Q:

In what ratio must wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg so that the mixture be worth Rs. 3/kg?

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

Explanation:

Given rate of wheat at cheap = Rs. 2.90/kg

Rate of wheat at cost = Rs. 3.20/kg

Mixture rate = Rs. 3/kg

Ratio of mixture = 

          2.90                              3.20

                              3

(3.20 - 3 = 0.20)            (3 - 2.90 = 0.10)

 

0.20 : 0.10 = 2:1

 

Hence, wheat at Rs. 3.20/kg be mixed with wheat at Rs. 2.90/kg in the ratio of 2:1, so that the mixture be worth Rs. 3/kg.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

20 11394
Q:

Directions : For the Assertion (A) and Reason (R) below, choose the correct alternative

Assertion (A) :   Bats can fly in the night.

Reason (R) :      Bats emit ultrasonics. 

A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is NOT the correct explanation of A.
C) A is true but R is false. D) A is false but R is true.
 
Answer & Explanation Answer: A) Both A and R are true and R is the correct explanation of A.

Explanation:

Bats can fly in the night because they can trace the obstacle in the path by perceiving the echo of the ultrasonic sound emitted by them after it is reflected by the obstacle. 

 

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Filed Under: Assertion and Reason

2 11384
Q:

_ tu _ rt _ s _ _ usrtu _

A) rsutrr B) rsurtr
C) rsurts D) rtusru
 
Answer & Explanation Answer: C) rsurts

Explanation:

The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.

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Filed Under: Number Series
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

28 11380
Q:

Rs 1000 is being  charged at 50% per annum. what is the interest for 3rd year at compound interest?

A) 1122 B) 1025
C) 1125 D) 625
 
Answer & Explanation Answer: C) 1125

Explanation:

Total amount for two years =  1000×1.52=2250

 Now , interest for third year = 2250×50×1100=1125

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Filed Under: Compound Interest

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