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Aptitude and Reasoning Questions

Q:

What is the difference between the compound interests on Rs. 5000 for 11⁄2 years at 4% per annum compounded yearly and half-yearly?

A) Rs. 1.80 B) Rs. 2.04
C) Rs. 3.18 D) Rs. 4.15
 
Answer & Explanation Answer: B) Rs. 2.04

Explanation:

Compound Interest for 1 12 years when interest is compounded yearly = Rs.(5304 - 5000)


Amount after 112 years when interest is compounded half-yearly 


Compound Interest for 1 12 years when interest is compounded half-yearly = Rs.(5306.04 - 5000)


Difference in the compound interests = (5306.04 - 5000) - (5304 - 5000)= 5306.04 - 5304 = Rs. 2.04

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Filed Under: Compound Interest
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Q:

………….being poor, Kavitha still dresses more appropriately than most of her friends.

A) Although B) Inspite
C) Since D) Despite
 
Answer & Explanation Answer: D) Despite

Explanation:

Despite, Its meaning is "without effected by ", without effecting by their poverty, Kavitha still dresses more appropriately than most of her friends.

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Filed Under: Analogy
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6 4439
Q:

All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B.  How many children does A have ? 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

B is the son of C but C is not the mother of B means C is the father of B A is marned to C means A is the mother of B. F is brother of B means F is son of A and C. D is daughter of A means D is daughter of A and C

A has son B, son F and daughter D it three children. 

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Filed Under: Blood Relations

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Q:

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

A) 19 B) 23
C) 17 D) 15
 
Answer & Explanation Answer: B) 23

Explanation:

If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer

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Filed Under: Numbers
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4 4438
Q:

What is the profit or loss % when a shopkeeper bought 4 mangoes for Rs. 6 and sold them @ 4 mangoes for Rs. 4?

A) 36.333% B) 33.666%
C) 33.333% D) 36.666%
 
Answer & Explanation Answer: C) 33.333%

Explanation:

Cost of 4 mangoes = Rs. 6 

Cost of 1 mango = Rs. 6/4 = Rs. 1.5

Now, Selling Price of 4 mangoes = Rs. 4

Selling Price of 1 mango = Rs. 4/4 = Rs. 1.0

 

      • We observe that, S.P < C.P

 

Hence, the shopkeeper incurs a loss.

 

Required loss% = loss/C.P x 100

Loss = 1.5 - 1 = 0.5

C.P = 1.5

Loss% = (0.5/1.5) x 100

 = (5/15) x 100

 = 1/3 x 100

 = 100/3

 = 33.333%.

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Filed Under: Profit and Loss
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24 4431
Q:

If 3a=4b=6c and a+b+c=2729, then a2+b2+c2 =?

A) 81 B) 83
C) 87 D) None of these
 
Answer & Explanation Answer: C) 87

Explanation:

4b=6cb=32c    and   3a=4ba=43b=43(32c)=2c 

a+b+c=2729   2c+32c+c=2729  c=629

 

 a2+b2+c2=(a+b+b)2-2(ab+bc+ca) 

 

=(2729)2-2(2c×32c+32c×c+c×2c) 

 

 =(729×29)-2×132 c2

= 87

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12 4428
Q:

If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

A) 51/1221 B) 42/221
C) 1/221 D) 52/1245
 
Answer & Explanation Answer: C) 1/221

Explanation:

Total Combination of getting a card from 52 cards = C152

Because there is no replacement, so number of cards after getting first card= 51

Now, Combination of getting an another card= C151


Total combination of getting 2 cards from 52 cards without replacement= (C152×C151


There are total 4 Ace in stack. Combination of getting 1 Ace is = C14

 

Because there is no replacement, So number of cards after getting first Ace = 3


Combination of getting an another Ace = C13

Total Combination of getting 2 Ace without replacement=C14×C13

Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

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Filed Under: Permutations and Combinations
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5 4426
Q:

Sharon Stone deposits $2000 at the end of each year in an account earning 10% compounded annually. Determine how much money she has after 25 years. How much interest did she earn?

A) 146694.12 B) 13452
C) 18232 D) 15627
 
Answer & Explanation Answer: A) 146694.12

Explanation:

S=R[(1+i)^n-1]/i

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Filed Under: Compound Interest
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