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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Rondell's parents borrow $6,300 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?

A) 556 B) 665
C) 756 D) 856
 
Answer & Explanation Answer: C) 756

Explanation:

I=prt

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

3 5607
Q:

The average age of a group of 10 students is 15 years. When 5 more students join the group, the average age increase by 1 year. The average age of the new student is?

Answer

Total age of 10 students = 150 years


Total age of 15 students = 240 years


Total age of 5 new students = 240 - 150 = 90 years


 Average age of 5 new students = 90/5 = 18 years.

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Subject: Problems on Ages

5 5595
Q:

You deposit $300 in a savings account that pays 4% simple annual interest. Find your account balance after 9 months.

A) 309 B) 409
C) 609 D) 509
 
Answer & Explanation Answer: A) 309

Explanation:

A = P + Prt

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

5 5593
Q:

Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?

A) 50 yrs B) 47 yrs
C) 45 yrs D) 42 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.

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

4 5583
Q:

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13 B) 11
C) 13 D) -11
 
Answer & Explanation Answer: C) 13

Explanation:

Given,

 5sinx + 12cosx ≥ -r 

⇒13513sin x + 1213cos x ≥ -rcosx) ≥ -r 

513= cosA => sinA =1213

 

=> 13(sinx cosA + sinA cosx) ≥ -r

 

=> 13(sin(x + A)) ≥ -r

 

we know that , -1 ≤ sin (angle) ≤ 1

 

=> 13sin (x + A) ≥ -13 ⇒rmin =13 

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Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank PO

8 5577
Q:

A six-digit number is formed by repeating a three-digit number; for example, 404404 or 415415 etc. Any number of this form is always exactly divisible by 

A) 101 B) 901
C) 1001 D) 789
 
Answer & Explanation Answer: C) 1001

Explanation:

Here by trial and error method, we can obseve that

404404 = 404 x 1001; 415415 = 415 x 1001, etc.

So, any number of this form is divisible by 1001.

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

7 5575
Q:

You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate

A) 6% B) 5%
C) 7% D) 8%
 
Answer & Explanation Answer: A) 6%

Explanation:

1. To find the interest, subtract the principal from the balance.

       $618 - $600 = $18

2.Use the simple interest formula and solve for r.

       I = Prt

      18= 600 x r x (1/2)

       r= 0.06 =6%

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

1 5574
Q:

Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ?

A) 17 yrs B) 16 yrs
C) 19 yrs D) 21 yrs
 
Answer & Explanation Answer: A) 17 yrs

Explanation:

Let the present age of Raj and Rajitha be 4x and 9x.
Then, according to question,
9x = 2(9x-12)-3 => 9x = 27 => x = 3
Raj's present age = 4x = 12yrs,
After 5 years Raj's age will be 12 + 5 = 17 yrs.

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

5 5567