Aptitude and Reasoning Questions

Q:

Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:

A) 40 B) 60
C) 100 D) 120
 
Answer & Explanation Answer: B) 60

Explanation:

Let the numbers be 3x, 4x, 5x.

 

Then, their L.C.M = 60x.

 

So, 60x=3600 or x=60.

 

Therefore,  The numbers are (3 x 60), (4 x 60), (5 x 60).

 

Hence,required H.C.F=60

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Filed Under: HCF and LCM
Exam Prep: CAT
Job Role: Bank PO

15 12822
Q:

The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.

  Ratio of Value of Imports to Exports by a Company Over the Years.

1. If the imports in 1998 was Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was ?

A. Rs. 250 cr         B. Rs. 300 cr         C. Rs. 357 cr         D. Rs. 420 cr

 

2. The imports were minimum proportionate to the exports of the company in the year ?

A. 1995                 B. 1996                 C. 1997                 D. 2000

 

3. What was the percentage increase in imports from 1997 to 1998 ?

A. 72                     B. 56                     C. 28                     D. Data Inadequate

 

4. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

A. Rs. 370 cr         B. Rs. 320 cr         C. Rs. 280 cr         D. Rs. 275 cr

 

5. In how many of the given years were the exports more than the imports ?

A. 1                       B. 2                       C. 3                       D. 4

Answer

1. ANSWER : D 


Explanation - The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively. 


Let the exports in the year 1999 = Rs. x crores.  


Then, the exports in the year 1998 = Rs. (500 - x) crores. 


 250500-x = 1.25 => x = 300 crores      [ Using ratio for 1998 ]  


Thus, the exports in the year 1999 = Rs. 300 crores. 


 


Let the imports in the year 1999 = Rs. y crores.  


Then, Imports in the year 1999 = y300=1.4 => y = 420= Rs. 420 crores.


 


2. ANSWER : C


Explanation - The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.


Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997. 


 


3. ANSWER : D 


Explanation - The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years. 


Hence, the data is inadequate to answer this question. 


 


4. ANSWER : B 


Explanation -  Ratio of imports to exports in the year 1996 = 0.85. 


Let the exports in 1996 = Rs. x crores. 


Then , 272x = 0.85 => x = 320  


Exports in 1996 = Rs. 320 crores.  


 


5. ANSWER : D  


Explanation - The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000. 


Thus, there are four such years.

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Subject: Line Charts Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

38 12819
Q:

The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference  in the expenditure on that product?

A) 10% more B) 5% more
C) 12.5% more D) 17.5% more
 
Answer & Explanation Answer: C) 12.5% more

Explanation:

    Quantity  X  Rate =  Price

 

         1  x  1  =  1

 

       0.7 x 1.25 = 0.875

 

      Decrease in price = (1-0.875) x 100 = 12.5%

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Filed Under: Percentage

19 12815
Q:

A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?

A) 123 B) 113
C) 246 D) 945
 
Answer & Explanation Answer: C) 246

Explanation:

A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking. 

 

(i) 1 lady out of 4 and 4 gentlemen out of 6 

(ii) 2 ladies out of 4 and 3 gentlemen out of 6 

(iii) 3 ladies out of 4 and 2 gentlemen out of 6 

(iv) 4 ladies out of 4 and 1 gentlemen out of 6 

 

In case I the number of ways = C14×C46 = 4 x 15 = 60 

In case II the number of ways = C24×C36 = 6 x 20 = 120 

In case III the number of ways = C34×C26 = 4 x 15 = 60

In case IV the number of ways = C44×C16 = 1 x 6 = 6 

 

Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

10 12813
Q:

The ratio of bases of two triangles is x:y and that of their areas is a:b. Then the ratio of their corresponding altitudes wll be

A) ay:bx B) a:b
C) x:y D) bx:ay
 
Answer & Explanation Answer: A) ay:bx

Explanation:

a : b =(1/2 * x * H) : (1/2 * y * h) 

bxH = ayh        => H/h =ay/bx 

Hence H:h = ay:bx

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

8 12809
Q:

Find the LCM of the following fractions:

 

2/3,  8/9,  16/27,  32/81

 

A) 32/81 B) 81/32
C) 32/3 D) 11/41
 
Answer & Explanation Answer: C) 32/3

Explanation:
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Filed Under: HCF and LCM
Exam Prep: Bank Exams

4 12808
Q:

The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam?

A) 32 B) 33
C) 34 D) 35
 
Answer & Explanation Answer: D) 35

Explanation:

Given S = 17 yrs

A = 16 yrs

B = 12 yrs

Average = 17 + 16 + 12/3 = 15 yrs

Given if Aslam added to them, their average increases by 5

=> Average of 4 members = 20

Let the age of Aslam be 'x'

Then, 

17 + 16 + 12 + x /4 = 20

=> x = 80 - 45

=> x = 35. 

 

Hence, the age of Aslam is 35 yrs.

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

15 12795
Q:

Should school education be made free in India ?

Arguments : 

I. Yes. This is the only way to improve the literacy rate in India.

II. No. It would add the already heavy burden on the exchequer.

A) Only argument I is strong B) Only argument II is strong
C) Neither I nor II is strong D) Both I and II are strong
 
Answer & Explanation Answer: B) Only argument II is strong

Explanation:

Making education free can not ensure full literacy. So argument I is vague. Argument II stands strong.

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2 12776