Quantitative Aptitude - Arithmetic Ability Questions

Q:

To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ?

A) 7920 B) 74841
C) 14874 D) 10213
 
Answer & Explanation Answer: A) 7920

Explanation:

ST candidates vacancies can be filled by C35 ways = 10 

Remaining vacancies are 5 that are to be filled by 12 

=> C512= (12x11x10x9x8)/(5x4x3x2x1) = 792 

Total number of filling the vacancies = 10 x 792 = 7920

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

10 4727
Q:

There are two shopkeepers, first shopkeeper calculates his profit percent on the selling price whereas the second shopkeeper calculates his profit percent on the cost price. If the selling price for both the shopkeeper is same and the difference between their profits is Rs.175. Then, calculate the sum of the cost price for both the shopkeeper if the profit percent for the both shopkeeper is 25%?

A) Rs 5425  B) Rs 4875 
C)  Rs 4675  D)  Rs 5275 
 
Answer & Explanation Answer: A) Rs 5425 

Explanation:

Let the selling price for each of the shopkeeper be Rs 100x

For 1st shopkeeper

SP= Rs 100x

CP=100

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

13 4725
Q:

The difference between the interests earned when Rs. P is invested for four years in a scheme offering 9% p.a. Simple interest and when the same sum (Rs P) is invested for two years in another scheme offering 12% p.a. simple interest, is Rs 480. What is the value of P?

A) 2000 B) 3500
C) 2500 D) 4000
 
Answer & Explanation Answer: D) 4000

Explanation:

p=(p*4*9)/100-(p*2*12)/100 = 480

=12p/100=480

p=4000

 

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Filed Under: Simple Interest

1 4724
Q:

A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ?

A) 0 B) 1
C) 11 D) 8
 
Answer & Explanation Answer: B) 1

Explanation:

Let x be the number.

Given: x = 296n + 75 [where n is quotient] 

 --> (378n) +( 372 + 1) 

 -->37(8n + 2) + 1

Hence, when x divided by 37, 1 is the remainder.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

8 4717
Q:

K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B  ?

A) Rs. 9040 B) Rs. 10,400
C) Rs. 12,800 D) Rs. 6350
 
Answer & Explanation Answer: C) Rs. 12,800

Explanation:

16x8 : Px4 = 5:2

P = 12.8 => Rs.12,800

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 4715
Q:

Example:Given an amount needed(future value) of $3300 in 4 years at an interest rate of 11% compounded anually,Find the present value and the amount of interest earned

A) 1126.19 B) 1237
C) 2863 D) 1892
 
Answer & Explanation Answer: A) 1126.19

Explanation:

M=P(1+i)^n

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

0 4713
Q:

Among the following which is a rational number?

 

A) 323 B) 325
C) 324 D) 326
 
Answer & Explanation Answer: B) 325

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

2 4712
Q:

A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?

A) 36 kmph B) 32 kmph
C) 28 kmph D) 34 kmph
 
Answer & Explanation Answer: A) 36 kmph

Explanation:

Let the speed of goods truck be 'p' kmph
Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.
10p = 4 x 90
p = 36kmph.
Therefore, the speed of the goods truck is p = 36 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

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