Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

A) 12 litres B) 14 litres
C) 16 litres D) 17 litres
 
Answer & Explanation Answer:

Explanation:

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

2 4735
Q:

Δ DEF and Δ GHI are similar triangles. Length of AB is 10 cm and length of the corresponding side DE is 6 cm. What is the ratio of Perimeter of ΔABC to ΔDEF?

A) 5:3 B) 3:5
C) 25:9 D) 9:25
 
Answer & Explanation Answer: A) 5:3

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 4733
Q:

Dileep started a business with a capital of Rs. 8000. After six months, Narender joined him with some investment. If at the end of the year each of them gets equal amount as profit, how much did Narender invest in the business?

A) 24000 B) 16000
C) 12000 D) 32000
 
Answer & Explanation Answer: B) 16000

Explanation:

Given Dileep and Narender started a business.

Dileep invested 8000 for 12 months

Let Narender invested 'p' for 6 months

At the end of the year, their profit ratio is 1 : 1.

Hence,

8000 x 12 : p x 6

p : 16000

p/16000 = 1/1

=> p = 16,000

 

Hence, Narender invested amount is Rs. 16,000.

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

8 4728
Q:

Jan invested $210 with a building society in a fixed deposit account that paid 8% p.a. simple interest for 18 months. How much did she receive after the 18 months?

A) 434 B) 345
C) 235.20 D) 233.20
 
Answer & Explanation Answer: C) 235.20

Explanation:

I = (p x r x t)/100

I = $25.20

A = P+I

A = 235.20

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

2 4725
Q:

Find the number of ways to draw a straight, (suit does not matter) beginning with a 4 and ending with a 8?

A) 1024 B) 1296
C) 1094 D) 1200
 
Answer & Explanation Answer: A) 1024

Explanation:

There are 5 slots.

 

                   __ __ __ __ __

 

The first slot must be a four. There are 4 ways to put a four in the first slot.

 

There are 4 ways to put a five in the second slot, and there are 4 ways to put a six in the third slot. etc.

 

(4)(4)(4)(4)(4) = 1024

 

Therefore there are 1024 different ways to produce the desired hand of cards.

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0 4725
Q:

The B.G. on a certain sum 4 years hence at 5% is Rs. 200. What is the present worth?

A) Rs. 4500 B) Rs. 6000
C) Rs. 5000 D) Rs. 4000
 
Answer & Explanation Answer: C) Rs. 5000

Explanation:

T = 4 years

R = 5%

Banker's Gain, BG = Rs.200

 

TD= BG×100TR=200×1004×5=Rs.1000

 

 TD=PW×BG

 

1000=PW×200

 

=>PW = Rs.5000

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Filed Under: Banker's Discount

3 4724
Q:

The effective annual rate of interest corresponding to nominal rate of 6% per annum payable half yearly is

A) 5% B) 6%
C) 7% D) 6.09%
 
Answer & Explanation Answer: D) 6.09%

Explanation:

amount=[100(1+3/100)^2]=Rs.106.09

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

1 4715
Q:

If two painters can complete two rooms in two hours, how many painters would it take to do 18 rooms in 6 hours?

A) 2 painters B) 6 painters
C) 4 painters D) None
 
Answer & Explanation Answer: B) 6 painters

Explanation:

Two painters can complete two rooms in two hours.So 18 rooms can be painted in 6 hrs by 6 painters

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Filed Under: Problems on Numbers

1 4712