Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

A) 1:2  B) 2:3
C) 3:4 D) 3:5
 
Answer & Explanation Answer: B) 2:3

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 1049
Q:

If cot ­-4π/3 = x, then the value of x is

A) -1 B) -1/√3
C) √3 D) 1
 
Answer & Explanation Answer: B) -1/√3

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1048
Q:

The sum of 2xy(3x + 4y - 5z) and 5yz(2x - 3y) is

A) 6x2y - 8xy2 + 15y2z B) 6x2y + 8xy2 - 15y2z
C) 6x2y + 8xy2 - 15y2z - 20xyz D) 6x2y - 8xy2 + 15y2z + 20xyz
 
Answer & Explanation Answer: B) 6x2y + 8xy2 - 15y2z

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1048
Q:

If x=2+3, then the value of x2-x+1x2+x+1 is

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1048
Q:

If Sec θ = 13/12, then Cot θ = ?

A) 12/5 B) 13/5
C) 5/13 D) 5/12
 
Answer & Explanation Answer: A) 12/5

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1048
Q:

If (36 - 16x) - (4x - 8) = 4, then the value of x is

A) 4 B) 2
C) 6 D) 3
 
Answer & Explanation Answer: B) 2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1048
Q:

The radius of the circle is 14 cm, an arc is subtend an angle 54 degree at center. Find the length of the arc (in cm).

A) 12.8 B) 13.2
C) 13.8 D) 14.2
 
Answer & Explanation Answer: B) 13.2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

0 1048
Q:

If 1/4th of the wall is painted blue, 1/2 is painted yellow and remaining 3 m is painted white, what is the length of the wall?

A) 10 B) 8
C) 16 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams , CAT

0 1048