Quantitative Aptitude - Arithmetic Ability Questions

Q:

XYZ is right angled at Y. If mZ = 60°, then find the value of (cotX - 1/3).

A) (3√3-1)/3 B) (2√3-√6)/2√2
C) -5/3 D) (2-√3)/2√3
 
Answer & Explanation Answer: A) (3√3-1)/3

Explanation:
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Q:

Avinash gave a sum of 5400 at the simple rate of interest of 8% to Rajeev for 4 years and Rajeev gave this amount to Chanukya at the rate of 6% for 4 years. Find how much extra amount has to be paid by Rajeev to Avinash after 4 years?

A) Rs. 364 B) Rs. 432
C) Rs. 498 D) Rs. 554
 
Answer & Explanation Answer: B) Rs. 432

Explanation:

Here Avinash gave to Rajeev and Rajeev gave the same to Chanukya

Principal amount and Time is same but the only difference is Rate of interest.

Rajeev took @ 8% and gave it to Chanukya @ 6%

Here the difference in interest rate = 2%

2% of 5400 should be the extra amount paid by Rajeev to Avinash

Required amount = 2 x 5400 x 4100 = 432

 

Hence, Rs. 432 is the extra amount has to be paid by Rajeev to Avinash after 4 years.

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Filed Under: Simple Interest
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Q:

Arun is a cashew merchant in Telangana. He has cashews in sealed wooden boxes of 10kg each. The price of the cashew increases by Rs.20 per kg for every year, but at the same time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh cashew is Rs.120, what is the change in his profits if he sells a sealed box after one year of storage, rather than selling it fresh ? (In Rs.)

A) Rs. 60 B) Rs. 54
C) Rs. 80 D) Rs. 75
 
Answer & Explanation Answer: A) Rs. 60

Explanation:

Price of 1kg fresh cashew = Rs.120
Therefore, price of 10kg = Rs.120 x 10 = Rs.1200

10% of 10kg which eaten by rodents = 10 x 10/100 = 1kg.

So, End of Year he had 10kg - 1kg = 9kg

So, he sells that 9kg with Rs.20 per kg profit = 9 x 140 = 1260.

He buy 10kg wooden box with cashew for Rs.1200 and sell that for Rs. 1260

So, profit = 1260 - 1200 = Rs.60 more money he get.

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Filed Under: Profit and Loss
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Q:

Consider a regular hexagon ABCDEF. Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30 deg, and the angle of elevation to the top of the tower at C is 45 deg. What is the ratio of the height of towers at B and C?

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

Explanation:

Let the side of regular hexagon be ‘a’

Let height of the tower 1 be h1 and tower 2 be h2

Height of tower 1 = h1 = (distance between A and B)* (tan 30o)= a.1/√3

Distance between A and C = 2*√3.a/2= √3a

Height of tower 2 = h2 = (distance between A and C)* (tan 45o) = √3a.1 = √3a

Ratio of height of towers at B and C respectively =a/√3/√3a = 1/3.

 

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Filed Under: Simplification
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Q:

Which is a better offer out of (i) a cash payment now of Rs.8100 or (ii) a credit of Rs.8250 after 6 months(6.5% S.I)

A) (i) B) (ii)
C) both (i) and (ii) D) none
 
Answer & Explanation Answer: A) (i)

Explanation:

PW = 100×Amount100+R×T

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Filed Under: True Discount
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Q:

One girl can eat 112 chocolates in half a minute, and her boy friend can eat half as many in twice the length of time. How many chocolates can both boy and girl eat in 12 seconds ?

A) 44 B) 32
C) 56 D) 49
 
Answer & Explanation Answer: C) 56

Explanation:

Girl eats 112 chocolates in 30 sec

so she can eat in 12 sec is 12 x 112/30 = 44.8 chocolates.

 

Her boy friend can eat one-half of 112 in twice of 30 sec

so he can eat 56 in 60 sec


Then he can eat in 12 sec is 56 x 12/60 = 11.2 chocolates.

 

Hence, together they can eat = 44.8 + 11.2 =56 chocolates in 12 seconds.

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Filed Under: Time and Work
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Q:

Find the probability that it is either white or red ball when,one ball is drawn at random in a bag that contains 3 black,4 white and 5 red balls

A) 0.5 B) 0.75
C) 0.25 D) 0.8
 
Answer & Explanation Answer: B) 0.75

Explanation:

P(red ball) = 5/12

P(white ball) = 4/12

P(red or white ball) = 5/12 + 4/12 = 3/4 = 0.75

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Filed Under: Probability

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Q:

Manogna's father was 38 years of age when she was born while her mother was 36 years old when her brother, 4 years younger than her, was born. What is the difference between the ages of her parents?

A) 2 years B) 4 years
C) 6 years D) 8 years
 
Answer & Explanation Answer: C) 6 years

Explanation:

From the given data,

Manogna’s age be 0 when she was born.

Her father’s age = 38 years

Her mother’s age when Manogna’s brother who is 4 years younger to her was born = 36 years

=> Manogna’s mother age when Manogna was born = 36 - 4 = 32 years

 

Hence, the difference between the ages of Manogna’s parents = 38 - 32 = 6 years.

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