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 General Aptitude
 Problems on Numbers
1.
On dividing a number by 4, the sum of quotient and remainder is 8 and sum of their squares is 34. Find the number.
 A.24
 C.23
 B.22
 D.25
 Answer & Explanation
 Report
Answer : [C]
Explanation :
Explanation :
Let the quotient be Q and remainder = R  
Given, number = 4Q + R  




(Q + R)^{2} = Q^{2} + R^{2} = 2QR  


(Q – R)^{2} = Q^{2} + R^{2} – 2QR = 34 – 30 = 4  




R = 8  Q = 8  5 = 3  
The number = 4Q + R = (4 x 5) + 3 = 20 + 3 = 23  
2.
In a forest, there are some rabbits and pigeons. They have 20 heads and 48 feet. How many pigeons are there?
 A.8
 C.6
 B.16
 D.4
 Answer & Explanation
 Report
Answer & Explanation : [B]
Explanation :
Explanation :
Let x be the no. of rabbits and y be the no. of pigeons.  




Solving (1) and (2) we get x = 4, y = 16  
No. of. Pigeons = 16.  
3.
The sum of three numbers is 60. If the ratio between first and second is 1 : 2 and that between second and third is 2 : 3 then the second number is
 A.30
 C.15
 B.10
 D.20
 Answer & Explanation
 Report
Answer : [D]
Explanation :
Explanation :


A : B : C = 1 : 2 : 3  


4.
The difference between the numerator and denominator of a fraction is 5. If 5 is added to its  


A.
1 6 
B.
3 1 4

B.
2 1 4  D.6
 Answer & Explanation
 Report
Answer : [B]
Explanation :
Explanation :
Let the denominator of the fraction be = x  
Then, numerator = x + 5  






5.
When a teacher distributed craft papers to students in her class each one got 7 papers, and 14 papers remained with the teacher. If two more students would have been in the class, no paper would have remained undistributed. How many students, the teacher had in her class?
 A.70
 C.52
 B.58
 D.Data inadequate
 Answer & Explanation
 Report
Answer : [D]
Explanation :
Explanation :
Either the total no. of craft papers should be given or in the second case the no. of papers got by each student should be given.  

