Aptitude and Reasoning Questions

Q:

In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :

A) 12 B) 24
C) 36 D) 48
 
Answer & Explanation Answer: B) 24

Explanation:

Let the ten's digit be x.

 

Then, unit's digit = x + 2.

 

Number = 10x + (x + 2) = 11x + 2

 

Sum of digits = x + (x + 2) = 2x + 2.

 

(11x + 2) (2x + 2) = 144

=> 22x^2+26x-140=0

 

=> (x - 2)(11x + 35) = 0

 

=> x = 2

 

Hence, Required Number = 11x + 2 = 24

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Filed Under: Problems on Numbers

28 24916
Q:

The ages of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:

A) 10 B) 13
C) 15 D) 18
 
Answer & Explanation Answer: C) 15

Explanation:

Krish’s age = 3A and Vaibhav’s age = 5A


(3A+9)/(5A+9) = 3/4


=> 4 (3A + 9) = 3 (5A + 9)


=> A = 3


Therefore, Vaibhav’s age = 15 years.

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Filed Under: Problems on Ages

45 24909
Q:

382  473  568  728  847  629

If 382 is written as 238, 473 as 347 and so on, then which of the following two numbers will have least difference between them?

A) 473 & 382 B) 629 & 728
C) 629 & 847 D) 728 & 847
 
Answer & Explanation Answer: D) 728 & 847

Explanation:

The given numbers are :

382  473  568  728  847  629

When changes are made as given in the question, numbers become as follows :

238  347  856  872  784  962

Again now, find out the difference between the numbers given in options as given below:

(1) 473 - 382  => 347 - 238 = 109

(2) 629 - 728  => 962 - 872 = 90

(3) 629 - 847  => 962 - 784 = 178

(4) 728 - 847  => 872 - 784 = 88

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20 24907
Q:

The principal that amounts to Rs.4913 in 3 years at 413% per annum compound interest compounded annually is

A) Rs.3096 B) Rs.4076
C) Rs.4085 D) Rs.4096
 
Answer & Explanation Answer: D) Rs.4096

Explanation:

principal = A=4913,T=3, R=413

P=A1+R100T

 

 = Rs.4096

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Filed Under: Compound Interest
Exam Prep: GRE

30 24870
Q:

Banks should always check financial status before lending money to a client.

Assumptions : 

I. Checking before lending would give a true picture of the client's financial status.

II. Clients some times may not present the correct picture of their ability to repay loan amount to the bank.

A) If only assumption I is Implicit B) If only assumption II is Implicit
C) If either I or II is Implicit D) If both I and II are Implicit
 
Answer & Explanation Answer: A) If only assumption I is Implicit

Explanation:

I is implicit in the norm prescribed in the sentence. This is why checking is being advised. Again, what would the banks check? Obviously  what the clients reveal. Banks would assume the revelation to be true.Hence II is not implicit. However, II is vague. If cross - checking is what the speaker has in mind, II would become implicit.

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3 24866
Q:

Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ?

A) 3 km B) 2 km
C) 1 km D) 6 km
 
Answer & Explanation Answer: C) 1 km

Explanation:

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

75 24854
Q:

Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

A) 17 & 9 B) 9 & 11
C) 9 & 9 D) 11 & 9
 
Answer & Explanation Answer: D) 11 & 9

Explanation:

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively.

Given,
7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x

9b+3 = 13d+3
===> 9b = 13d
so take b = 13 and d = 9

9b+3 = 9*13+3 = 120
ie, x=120

substituting
7a+1 = 120
7a = 119
a = 17

11c-1 = 120
11c = 121
c=11

14e-6 = 120
14e = 126
e = 9

Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

25 24852
Q:

A 6% stock yields 8% . The market value of the stock is :

A) Rs.48 B) Rs.75
C) Rs.96 D) Rs.133.33
 
Answer & Explanation Answer: B) Rs.75

Explanation:

For an income of Rs. 8, investment = Rs. 100.

 

For an income of Rs 6, investment =Rs. (100/8*6) = Rs. 75

 

Market value of Rs. 100 stock = Rs. 75.

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Filed Under: Stocks and Shares

28 24849