Quantitative Aptitude - Arithmetic Ability Questions

Q:

Derivative of sinx by first principle?

A) -sinx B) -cosx
C) cosx D) sinx
 
Answer & Explanation Answer: C) cosx

Explanation:

Screenshot_(1)1519127168.png image

 

Thus, the derivative of sinx by first principle is cosx.

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Q:

When $720 is invested for 36 months it earns $205.20 simple interest. Find the yearly interest rate.

A) 7.5% B) 8.5%
C) 9.5% D) 10.5%
 
Answer & Explanation Answer: C) 9.5%

Explanation:

r = (100 x I)/(P x T)

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

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Q:

Althaf borrows Rs. 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is Rs. 186. How much does he borrow at the rate of 12% ?

A) Rs. 300 B) Rs. 400
C) Rs. 1200 D) Rs. 1100
 
Answer & Explanation Answer: C) Rs. 1200

Explanation:

Let Althaf lent Rs. A at 14% per year.
Hence, Money lent at 12% = (1500-A);
Given, total interest = Rs. 186.
{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;
14A/100 + (18000 -12A)/100 = 186;
14A + 18000 - 12A = 186x100;
2A = 18600-18000;
A = 600/2 = Rs. 300.
Hence, money lent at 12% = 1500-300 = Rs. 1200.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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Q:

In the following question, select the odd letter/letters from the given alternatives.

 

A) BFJN   B) GKOS  
C)  LPQV   D) MQU
 
Answer & Explanation Answer: C)  LPQV  

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

The average of two numbers is 10 and the product of two numbers is 96. Find the two numbers.

 

 

A) 3, 32 B) 12, 8  
C) 1, 96   D) 24, 4
 
Answer & Explanation Answer: B) 12, 8  

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

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

Explanation:

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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Filed Under: Problems on Trains
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Q:

The number of sequences in which 4 players can sing a song, so that the youngest player may not be the last is ?

A) 2580 B) 3687
C) 4320 D) 5460
 
Answer & Explanation Answer: C) 4320

Explanation:

Let 'Y' be the youngest player.

The last song can be sung by any of the remaining 3 players. The first 3 players can sing the song in (3!) ways.

The required number of ways = 3(3!) = 4320.

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

A and B together have Rs. 6300. If 5/19 of A's amount is equal to 2/5 of B's amount. The amount of 'B' is

A) Rs. 2500 B) Rs. 3800
C) Rs.2300 D) Rs. 4000
 
Answer & Explanation Answer: A) Rs. 2500

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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