Aptitude and Reasoning Questions

Q:

The total number of prime factors in the expansion

Answer

 


2211 x 75 x 112=> 222 x 75 x 112


 Total number of prime factors is (22+5+2) = 29

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
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4 5465
Q:

'X' sells fruits at 21% profit. If X bought it for 9% less and sold it for Rs.29 less, he would have gained 25%. The cost price of fruits is?

A) Rs. 400 B) Rs. 420
C) Rs. 460 D) Rs. 480
 
Answer & Explanation Answer: A) Rs. 400

Explanation:

Let the cost price of the fruits be 'C.P'

From the given data, after analysis it can be solved as

(121% of C.P) - (125% of 91% of C.P) = 29

121100 C.P  -  125100  x 91100 x C.P = 29121100 - 125 x 91100 x 100 C.P = 29(12100 - 125 x 91) C.P = 290000(12100 - 11375) C.P = 290000725 C.P = 290000C.P = 400

 

Hence, the cost price of the fruits = Rs. 400.

 

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Filed Under: Profit and Loss
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13 5462
Q:

A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 months. At the end of the year, B’s share is Rs. 9000, find the overall profit?

A) Rs. 23,500 B) Rs. 19,780
C) Rs. 21,700 D) Rs. 20,050
 
Answer & Explanation Answer: A) Rs. 23,500

Explanation:

Given A & B in partnership

A Invests 116000 for 12 months 

=> A's share = 116000 x 12 = 13,92,000

B Invests for 6 months

=> B's share = 144000 x 6 = 8,64,000

Their Ratio = 1392 : 864 = 29 : 18

Let the Annual profit = P

Given B's share = Rs. 9000

=> 18/47 x P = 9000

=> P = 9000 x 47/18

=> P = 23,500

Hence, Overall profit = P = Rs. 23,500

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Filed Under: Partnership
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12 5462
Q:

If it is possible to make a meaningful word with the second, the seventh, the ninth, the tenth and the thirteenth letters of the word PROCRASTINATED which of the following will be the third letter of that word? If no such word can be formed give 'X' as the answer, if two or three words can be formed give 'Y' as the answer, and if more than three such words can be formed give 'Z' as the answer.

A) S B) Y
C) X D) Z
 
Answer & Explanation Answer: D) Z

Explanation:

Here specified letters are R, S, I, N and E following are the words formed with the help of the above letters:
1. RESIN    2. RISEN  3. RINSE   4. SIREN

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Filed Under: Alphabet Test

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Q:

Nautilus : Fish :: Teal : ?

A) Duck B) Pigeon
C) Dolphin (c)Duck (d)Pigeon D) Chicken
 
Answer & Explanation Answer: A) Duck

Explanation:

Nautilus is a type of fish and teal is a type of duck.

 

Hence, Nautilus : Fish :: Teal : Duck.

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Filed Under: Analogy
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4 5448
Q:

What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ?

A) 8 hrs B) 7 hrs 15 min
C) 7 hrs 30 min D) 8 hrs 20 min
 
Answer & Explanation Answer: C) 7 hrs 30 min

Explanation:

Total number of cards = 1500
total columns = 45
so, total punches=1500 x 45 = 67500
for 1 hour if we make 9000 punches,
we require 67500/9000 = 7.5
so 7hours:30mins.

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Filed Under: Arithmetical Reasoning
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1 5444
Q:

Which of the following year is a leap year?

A) 2500 B) 1700
C) 1900 D) 2400
 
Answer & Explanation Answer: D) 2400

Explanation:

NOTE: For a century year,it is divided by 400 and leaving a ramainder of 0 results a leap year.

So,2400 when divided by 400 leaves a remainder 0.

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Filed Under: Calendar

7 5444
Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 19296 B) 19396
C) 19496 D) 19596
 
Answer & Explanation Answer: A) 19296

Explanation:

The single equivalent payment will be PV + FV.
FV = Future value of $10,000, 12 months later
 $10,000 *(1.0075)/12
 $10,938.07
PV=  Present value of $10,000, 24 months earlier
 $10,000/(1.0075)24
 $8358.31
The equivalent single payment is
$10,938.07 + $8358.31 = $19,296.38

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Filed Under: Compound Interest
Exam Prep: Bank Exams
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