Quantitative Aptitude - Arithmetic Ability Questions

Q:

There are 41 students in a class, number of girls is one more than number of guys. we need to form a team of four students. all four in the team cannot be from same gender. number of girls and guys in the team should NOT be equal. How many ways can such a team be made ?

A) 49450 B) 50540
C) 46587 D) 52487
 
Answer & Explanation Answer: B) 50540

Explanation:

Given G + B= 41 and B = G-1
Hence, G = 21 and B = 20
Now we have 2 options,
1G and 3M
(or)
3G and 1M
(2G and 2M or 0G and 4M or 4G and oM are not allowed),

 

Total : C121×C320+C321×C120= 50540 ways.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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2 4256
Q:

Find the simple interest charged on borrowing $325 for 5 years at 3% p.a. (per annum or per year) interest.

A) 59 B) 46
C) 48.75 D) 34.75
 
Answer & Explanation Answer: C) 48.75

Explanation:

I= PTR100

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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3 4255
Q:

Kashundra Jones plans to make a lump sum deposit so that she can withdraw $3,000 at the end of each quarter for 10 years. Find the lump sum if the money earns 10% per year compounded quarterly

A) 75263.64 B) 76345
C) 76389 D) 56897
 
Answer & Explanation Answer: A) 75263.64

Explanation:

 

 

A=R[(1+i)^n-1]/i(1+i)^n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4249
Q:

A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by

A) 100 m B) 111m
C) 25 m D) 50 m
 
Answer & Explanation Answer: A) 100 m

Explanation:

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Filed Under: Races and Games

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Q:

If each vowel of the word NICELY is changed to the next letter in the English alphabetical series and each consonant is changed to the previous letter in the English alphabetical series and then the alphabets are arranged in alphabetical order, which of the following will be fourth from the left?

A) M B) J
C) B D) O
 
Answer & Explanation Answer:

Explanation:

Thus after arranging the letters as per English alphabetical series; we get; Thus 4th letter from the left end will be K.

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16 4246
Q:

Total 100 members are writing exam. In that 48 members are writing first exam, 45 members are writing second exam and 38 members are writing third exam. 5 members are writing all the three exams. How many members are writing 2 exams ?

A) 26 B) 23
C) 27 D) 21
 
Answer & Explanation Answer: D) 21

Explanation:

Total number of exams written by 100 students = 48 + 45 + 38 = 131
Now let us say x members are writing only 1 exam, y members are writing only 2 exams, z members are writing only 3 exams.
Therefore, x + 2y + 3z = 131 also x + y + z = 100.
Given that z = 5. So x + 2y = 116 and x + y = 95.
Solving we get y = 21.
So 21 members are writing exactly 2 exams.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

6 4235
Q:

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5 ?

A) 2/3 B) 1/2
C) 7/8 D) 4/5
 
Answer & Explanation Answer: B) 1/2

Explanation:

Multiples of 3 below 20 are 3, 6, 9, 12, 15, 18
Multiples of 5 below 20 are 5, 10, 15, 20
Required number of possibilities = 10
Total number of possibilities = 20
Required probability = 10/20 = 1/2.

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Filed Under: Probability
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4 4227
Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75 B) 100
C) 125 D) 150
 
Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50  <=>  x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

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