Aptitude and Reasoning Questions

Q:

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:

A) 173 m B) 200 m
C) 273 m D) 300 m
 
Answer & Explanation Answer: C) 273 m

Explanation:

 Let AB be the lighthouse and C and D be the positions of the ships.

 

 

Then, AB = 100m, ACB = 30°andADB =45°

 

ABAC=tan30°=13=>AC=AB*3=1003m

 

 

 ABAD=tan45°=1=>AD=AB=100m

CD=(AC+AD)=1003+100m=1003+1=100*2.73=273m

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Filed Under: Height and Distance

17 8945
Q:

A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ?

A) Rs. 345.15 B) Rs. 245.1
C) Rs. 234.18 D) Rs. 456.65
 
Answer & Explanation Answer: A) Rs. 345.15

Explanation:

area of the plot = 120m x 60m = 7200 sq.m
area of plot excluding gravel = 117m x 57m = 6669 sq.m
area of gravel = 7200 sq.m - 6669 sq.m = 531 sq.m
cost of building it = 531 sq.m x 65 ps = 34515 ps
In Rs. = 34515/100 = Rs. 345.15.

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

4 8943
Q:

What was the day on 9th May,2001?

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

Explanation:

9th May, 2001 = (2000 years + Period from 1.1.2001 to 9.5.2001)

Odd days in 1600 years = 0

Odd days in 400 years = 0

Jan. Feb. March April May 

(31 + 28 + 31 + 30 + 9) = 129 days

129 days = (18 weeks + 3 day)= 3 odd day.

Total number of odd days = (0 + 0 + 3 ) = 3 odd day.

Given day is Wednesday.

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Filed Under: Calendar

13 8942
Q:

How many square units in 13 by 9?

A) 13 B) 9
C) 117 D) 13/9
 
Answer & Explanation Answer: C) 117

Explanation:

Number of square units in 13 by 9 is given by the area it forms with length and breadth as 13 & 9

Area = 13 x 9 = 117

 

Hence, number of square units in 13 by 9 is 117 sq.units.

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

15 8941
Q:

The product of two successive numbers is 9506.Which is the smaller of the two numbers?

A) 96 B) 97
C) 98 D) 99
 
Answer & Explanation Answer: B) 97

Explanation:

9506= 97.50 So 97 and 98 are the two numbers. 

 

so 97 is the answer

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Filed Under: Verbal Reasoning - Mental Ability
Exam Prep: Bank Exams
Job Role: Bank PO

3 8941
Q:

M, K, J, T, R, D and W are seven members of a family. There are two married couples among them belonging to two different generations. Each of them has a different choice of cuisine - Chinese, Continental, Thai, Punjabi, South Indian, Gujarati and Malwani. The grandfather in the family likes Gujarati food. None of the ladies likes Continental or Thai food. T is the son of M, who likes Chinese food. W is J's daughter-in-law and she likes South Indian food. K is grandfather of D, who likes Punjabi food. J is mother of R, who likes Continental food.

Question 1:

How is R related to D?

a) Father b) Brother c) Uncle d) Data inadequate

 

Question 2:

Which of the following group contains one each from the same generations?

a) JRT b) JRW c) MRD  d) MWT

Answer

Answer 1:
c) Uncle
R is Uncle to D.


 


Answer 2:
a) JRT
JRT are one each from the same generations.

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7 8932
Q:

How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

A) 3 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.

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

11 8932
Q:

What will be the vulgar fraction of 0.75 ?

A) 3/5 B) 3/4
C) 3/2 D) 3/7
 
Answer & Explanation Answer: B) 3/4

Explanation:

0.75 = 75/100 = 3/4

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Filed Under: Decimal Fractions

13 8931