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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: C) 11

Explanation:

Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.
Given SD makes 1/4 th of the total fleet.
=> 8 = 1/4 (21 + x)
=> 32 = 21 + x
=> x = 11
Therefore, the company has 11 small cars.

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

3 3897
Q:

In a class of 80 students and 5 teachers, each student got sweets that are 15% of the total number of students and each teacher got sweets that are 25% of the total number of students. How many sweets were there?

A) 1060 B) 960
C) 1020 D) 920
 
Answer & Explanation Answer: A) 1060

Explanation:

Total number of sweets

= 80 x 15 x 80/100 + 5 x 80 x 25/100

= 960 + 100 = 1060

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

31 3896
Q:

If the true discount on a certain sum due 6 months hence at 15% is Rs 120.What is the bankers discount on the same for same time and the same rate.

A) Rs.109 B) Rs.119
C) Rs.129 D) Rs.139
 
Answer & Explanation Answer: C) Rs.129

Explanation:

B.G = S.I On T.D

      = Rs. (120 * 15 * 1/2 * 1/100)

      = Rs.9

B.D - T.D = Rs.9

B.D = Rs.(120 +9) = Rs.129

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Filed Under: Banker's Discount

1 3895
Q:

A man invested an amount at the rate of 10% p.a. on compound interest and after two years he again invested half of the initial amount. If man got Rs. 457.2 Rs. as interest after three years, find the amount received by man after three years, if he invested same amount on simple interest at rate of 15% p.a.? 

A)  1740 Rs.  B)  1760 Rs. 
C)  1720 Rs.  D)  1780 Rs. 
 
Answer & Explanation Answer: A)  1740 Rs. 

Explanation:

Let man invested Rs. A And, after two years amount invested = (A +

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT

25 3889
Q:

Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is

A) 1,00,000 B) 59,049
C) 3439 D) 6561
 
Answer & Explanation Answer: C) 3439

Explanation:

The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.

 

This can be done in 105ways, but '0' is there

 

So, the numbers starting with '0' are to be excluded is 94 numbers.

 

 Total 5 digit telephone numbers = 105- 94 = 3439

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 3889
Q:

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

A) 8 B) 10
C) 12 D) 14
 
Answer & Explanation Answer: A) 8

Explanation:

[15000*(1+r/100)2-15000]-(15000*r*2)/100=96

Rate=8%

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

0 3872
Q:

What is the value of sin 46 cos 44+ cos 46 sin 44?

A) 2 B) sin 2
C) 1 D) 0
 
Answer & Explanation Answer: C) 1

Explanation:

sin 46. cos 44+ cos 46. sin 44

sin 46. sin (90 -44)+ cos 46. cos (90 -44)

= sin^2 46 + cos^2 46

= 1

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Filed Under: Simplification
Exam Prep: Bank Exams

3 3870
Q:

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A) 50m B) 40m
C) 60m D) 45m
 
Answer & Explanation Answer: C) 60m

Explanation:

Ans.
Given that length of first train + length of second train = 660
Speed of first train : Speed of second train = 5:8 =5x : 8x
Time taken to cross the poll by two trains = 4:3 =4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , GATE

2 3868