Aptitude and Reasoning Questions

Q:

How many remainders are possible if 16n is divided by 9 for any positive integral value of n ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

When 16nis divided by 9, we have

 1619, remainder = 7  

1629, remainder = 4 

1639, remainder = 1 

1649, remainder = 7 

1659, remainder = 4 

1669, remainder = 1 

So, we have cyclicity of 3 factors i.e 7,4,1. 

Hence only 3 remainders are possible.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

7 4707
Q:

Which of the following diagrams indicates the best relation between Females, Doctors, and Patients?

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

Explanation:
Some females can be doctors; some female can also be patient. Some Doctors can be patients. So, Option C fits into the question.
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Filed Under: Logical Venn Diagram

16 4706
Q:

Nitin correctly remembers that Nidhi's birthday is before Friday but after Tuesday. Dheeraj correctly remembers that Nidhi's birthday is after Wednesday but before Saturday. On which of the following days does Nidhi's birthday definitely fall?

A) Monday B) Tuesday
C) Wednesday D) Thursday
 
Answer & Explanation Answer: D) Thursday

Explanation:

According to Nitin, Nidhi's birthday falls on Wednesday or Thursday    ---------(i)

According to Dheeraj , Nidhi's birthday falls on Thursday or Friday      ---------(ii)

From (i) and (ii), Nidhi's birthday falls on Thursday.

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Q:

Rajitha has a calculator, which has 10 digits. She want to clean the calculator by removing all the keys and while reassembling it, she interchanged the locations of 3 pairs of keys. For example, if she placed the key ‘3’ in the place of the key ‘7’, she placed the key ‘7’ only in the place of the key ‘3’ and not any other key. All keys that were interchanged corresponded only to numbers. Later, she input some calculations and obtained outputs as provided in the table below. The input is shown in terms of the keys that Kavitapressed, while the output is the output displayed by the calculator.

Output:

1.   95 + 84=128
2.   128 + 64=195
3.   912 + 43=942
4.   178 + 19=192

Question :

Which of the following pair of digits is unchanged ?

A) 9, 0, 3 B) 1, 3, 8
C) 7, 0, 1 D) 2, 4, 1
 
Answer & Explanation Answer: C) 7, 0, 1

Explanation:
0 1 2 3 4 5 6 7 8 9
0 1 4 8 2 6 5 7 3 9

Here pairs interchanged are

2, 4 

3, 8

5, 6

Unchanged are 0, 1, 7, 9

 

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

11 4703
Q:

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A) 54 B) 64
C) 63 D) 36
 
Answer & Explanation Answer: C) 63

Explanation:

Required number of ways = 7C5 × 3C2=63

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0 4702
Q:

Kramer borrowed $4000 from George at an interest rate of 7% compounded semiannually. The loan is to be repaid by three payments. The first payment, $1000, is due two years after the date of the loan. The second and third payments are due three and five years, respectively, after the initial loan. Calculate the amounts of the second and third payments if the second payment is to be twice the size of the third payment.

A) 1389 B) 1359
C) 1379 D) 1339.33
 
Answer & Explanation Answer: D) 1339.33

Explanation:

Given:j=7% compounded semiannually making m=2 and i = j/m= 7%/2 = 3.5%
Let x represent the third payment. Then the second payment must be 2x.
PV1,PV2, andPV3 represent the present values of the first, second, and third payments.

Since the sum of the present values of all payments equals the original loan, then
PV1 + PV2  +PV3  =$4000 -------(1)

PV1   =FV/(1 + i)^n  =$1000/(1.035)^4=  $871.44

At first, we may be stumped as to how to proceed for
PV2 and PV3. Let’s think about the third payment of x dollars. We can compute the present value of just $1 from the x dollars

pv=1/(1.035)^10=0.7089188

PV2   =2x * 0.7089188 = 1.6270013x
PV3   =x * 0.7089188=0.7089188x
Now substitute these values into equation ➀ and solve for x.
$871.442 + 1.6270013x + 0.7089188x  =$4000

2.3359201x  =$3128.558

x=$1339.326
Kramer’s second payment will be 2($1339.326)  =$2678.65, and the third payment will be $1339.33

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

0 4698
Q:

Choose the word which is least like the others word in a group?

A) Mechanic B) Blacksmith
C) Engineer D) Mason
 
Answer & Explanation Answer: A) Mechanic

Explanation:

All except Mechanic help in building a house.

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Filed Under: Classification

16 4688
Q:

The ratio of the speed of a boat downstream and speed of the stream is 9:1. If the speed of the current is 3 km per hr, find the distance travelled by the boat upstream in 5 hours.

A) 100 km B) 98 km
C) 109 km D) 105 km
 
Answer & Explanation Answer: D) 105 km

Explanation:

Let the speed of boat in still water is ‘x’ km/hr & that of stream is ‘y’ km/hr.
Then, ATQ
(x+y)/y = 9/1 9y = x + y
x = 8y
y = 3 km/hr
So, x = 24 km/hr
Upstream speed = 24-3 = 21 km/hr
Hence, distance travelled upstream in 5 hours = 21*5 = 105 km.

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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