Aptitude and Reasoning Questions

Q:

The difference of two numbers is 11 and (1/5)th of their sum is 9. The numbers are

Answer

Let the numbers be x and (x-11)



\inline \fn_jvn \Rightarrow   x = 28


\inline \fn_jvn \therefore Another Number is (28 - 11) = 17

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Subject: Numbers

14 6272
Q:

The difference between the compound interest and simple interest on an amount of Rs.15000 for two years is Rs.96. what is the rate of interest per annum

A) 8 B) 10
C) 12 D) 13
 
Answer & Explanation Answer: A) 8

Explanation:

[15000 *(1+r/100)^2-15000]-(15000*r*2)/100=96

r=8

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

2 6268
Q:

A sum of Rs.1890 has to be used to give 9 prizes to the customers of a super market for their overall academic purchases. If each prize is Rs.30 less than its preceding price, what is the least value of the price ?

A) 90 B) 95
C) 85 D) 80
 
Answer & Explanation Answer: A) 90

Explanation:

Let the least value of the prize = Rs. x

Then the next value of the prize is x+30 , x+60, x+90, ....x+240.

Given total amount of cash prizes = Rs.1890

--> x + (x+30) + (x+60) + (x+90) + ....+ (x+240) = 1890

--> 9x + (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240) = 1890

--> 9x + 30(1 + 2 + 3 + 4....+ 8) = 1890

--> 9x + 30(36) = 1890

--> 9x = 810 --> x=90

Hence the least value of the prize x=90

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Filed Under: Mathematical Operations
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

29 6255
Q:

On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

A) Rs. 5422 B) Rs. 10,500
C) Rs. 12,800 D) Rs. 15,000
 
Answer & Explanation Answer: B) Rs. 10,500

Explanation:

The ratio of distribution should be:
21 x 15 : 15 x 35 : 35 x 21
= 315 : 525 : 735
= 3 : 5 : 7
The smallest share will be of worth:
3/15 x 52,500 = Rs. 10,500

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO

6 6251
Q:

Uma sold an article for 3400 and got a profit of 25%. If he had sold the article for Rs. 3265. How much profit% would Uma have got ?

A) 22% B) 27%
C) 20% D) 18%
 
Answer & Explanation Answer: C) 20%

Explanation:

Given

      125% ---- 3400

=> 100% ---- ?

=> ? = 3400x100/125 = 2720

=> Cost price of the article = Rs. 2720

Profit when article sold at Rs. 3265 = 3265 - 2720 = 545

Hence, Profit% = Gain x 100/cost price

=> P% = 545 x 100/2720

=> P% = 20%

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

15 6248
Q:

Consider the following information and answer the questions based on it

 

Out of 50 kids in a colony, 10 like only basketball, 25 like only football, 10 like both volleyball and football and 5 like only volleyball.

 

The ratio of kids who like football to those who like only basketball is

A) 5/2 B) 7/2
C) 4 D) 5
 
Answer & Explanation Answer: B) 7/2

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

2 6244
Q:

Car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a.   What is the total cost of the car?

A) 30.240 B) 31.240
C) 33.240 D) 32,240
 
Answer & Explanation Answer: D) 32,240

Explanation:

Total cost = deposit + instalment amount × number of instalments

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

2 6243
Q:

If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q ?

A) South-East B) North-West
C) East D) West
 
Answer & Explanation Answer: A) South-East

Explanation:

P % Q + R - S
=> P is to the East of Q, who is to the North of R, who is to the West of S.
=> Q.....P
      R.....S
=> With respect to Q, S is to the South-East of Q.

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Filed Under: Direction Sense Test
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

32 6238