Aptitude and Reasoning Questions

Q:

Find the length of the altitude of an equilateral triangle of side  33cm.

A) 4.5 B) 3.5
C) 2.5 D) 6.5
 
Answer & Explanation Answer: A) 4.5

Explanation:

Let the length of the altitude be h.
Then, h = a32   = 33 × 32 = 4.5

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Filed Under: Area
Exam Prep: CAT , Bank Exams , AIEEE
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3 8411
Q:

 

The given figures depict the country-wise distribution of the people who visit China for business setup.

 

If in a given year, 500000 people visited China, then the ratio of the number of Americans with the age group between 20 and 40 years to the Russians with the age group below 20 years who visited China is

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

Explanation:
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Filed Under: Pie Charts
Exam Prep: Bank Exams

0 8404
Q:

934+7217-9115=?

A) 7 + 719/1020 B) 9 + 817/1020
C) 9 + 719/1020 D) 7 + 817/1020
 
Answer & Explanation Answer: D) 7 + 817/1020

Explanation:

given sum =9+34+7+217-9+115

 

9+7+9+34+217-115

 

=> 7+765+120-681020=>7+8171020 

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Filed Under: Numbers

4 8401
Q:

A bill falls due in 1 year.The creditor agrees to accept immediate payment of the half and to defer the payment of the other half for 2 years.By this arrangement ins Rs.40.what is the amount of the bill,if he money be worth 12.5%?

A) 1200 B) 3000
C) 3600 D) 1300
 
Answer & Explanation Answer: C) 3600

Explanation:

Let the sum be Rs. x. Then,   

x2+x2×100100+252×2-x×100100+252×1 = 40  

(x/2)+(2x/5)-(8x/9) = 40  

x=3600.  

Therfore, amount of bill=Rs. 3600.

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Filed Under: True Discount

5 8398
Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 8394
Q:

At a casino in mumbai, there are three tables A, B and C. The payoffs at A is 10:1, at B is 20:1 and at C is 30:1. If a man bets Rs 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be?

A) Rs.2500 B) Rs.2000
C) Rs.4000 D) None of these
 
Answer & Explanation Answer: C) Rs.4000

Explanation:

Maximum earning will be only when he will won on the maximum yielding table.

     A ----> 10:1

     B ----> 20:1

     C ----> 30:1

 i.e, he won on B and C but lost on A

 20 x 200 + 30 x 200 -1 x 200 = 9800

 minimum earning will be when he won on  table A and B and lose on that table 3.

 

Therefore, 10 x 200 + 20 x 200 - 1 x 200  =  6000-200 = 5800

Therefore, Difference= 9800 - 5800 = 4000

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Filed Under: Ratios and Proportions

12 8393
Q:

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less does the restaurant make each day in cakes sales after the promotion?

A) Rs. 185 less B) Rs. 202 more
C) Rs. 175 more D) Rs. 168 less
 
Answer & Explanation Answer: D) Rs. 168 less

Explanation:

Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) -  (12 x 250) = - Rs.168.

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Filed Under: Percentage
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15 8392
Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given D) 11% stock at 143
 
Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

 

Income in 1st case = Rs.11143 x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs.394×117 x 143 x 117= Rs. 1394.25

 

Clearly, 9 3/4% stock at 117 is better.

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Filed Under: Stocks and Shares
Exam Prep: CAT , Bank Exams , AIEEE
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12 8392