puzzles quantitative aptitude test

Online aptitude test questions and answers for company exam

Question 31 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
A cistern which has leak in the bottom is filled in 15 hours. Had there been no leak, it could have been filled in 12 hours. If the cistern is full, the leak can empty it is
A
12 hours
B
14 hours
C
28 hours
D
60 hours
Question 31 Explanation: 
Work done by the leak in 1 hours = (1/12 - 1/15) = 1/60
Therefore lean can empty the full cistern in 60 hours.







Question 32 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
The rank of the word ABDUL in the dictionary of all the words formed by the letters of the word ABDUL is?
A
120
B
49
C
29
D
2
Question 32 Explanation: 
A, B, D are in the correct sequence in the given word, but U and L are in reverse positions, hence rank is 2.
Question 33 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
If $2^x = 4^y = 8^z$ and $1/(2x) + 1/(4y) + 1/(4z) = 4$ then the value of $x$ is
A
7/32
B
7/48
C
7/16
D
7/24
Question 33 Explanation: 
Let 2^x=4^y=8^z=k
then 2 = k^(1/x)
4 = k^(1/y) and 8 = k^(1/z)
Now,
8*4 = 32 = 2^5
k^(1/z).k^(1/y) = k^(5/x)
1/y + 1/z = 5/x
Solve
7/16






Question 34 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
If in coded language 8465 = 15 4758 = 4 3985 = 9 Then 4114 =?
A
8
B
5
C
14
D
7
Question 34 Explanation: 
8465 = 8*4*6*5 = 960 = 9+6+0 = 15
4758 = 4*7*5*8 = 1120 = 1+1+2+0 = 4
3985 = 3*9*8*5 = 1080 = 1+0+8+0 = 9
Then
4114 = 4*1*1*4 = 16 = 1+6 = 7
Question 35 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
The side of a square exceeds the side another square by 4 cm and the sum of the area of the two squares in 400 sq cm. Find the dimension of the square.
A
14cm and 18cm
B
12cm and 16cm
C
18cm and 22cm
D
9cm and 13cm
Question 35 Explanation: 
Let side of smaller square be x cm
The side of other square = (x+4) cm
The sum of area of squares x^2+(x+4)^2 = 400
solve
12cm and 16cm sides







Question 36 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
A father said to his daughter that his age was 4 time her age and 8 year before his age was 10 times her age. What will be the sum of their present age
A
53
B
60
C
50
D
68
Question 36 Explanation: 
12 and 48
Question 37 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
What is the next number of the following sequence 1, 1, 2, 6, 24, ....
A
54
B
120
C
124
D
64
Question 37 Explanation: 
1!/1 = 1
2!/2 = (1*2)/2 = 1
3!/3 = (1*2*3)/3 = 2
4!/4 = (1*2*3*4)/4 = 6
5!/5 = (1*2*3*4*5)/5 = 24
Similarly
6!/6 = (1*2*3*4*5*6)/6 = 120







Question 38 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
What is the next term of following series: 0, 7, 26, 63, 124
A
236
B
344
C
215
D
216
Question 38 Explanation: 
nth term = n^3 - 1
n=1, 2, 3, 4, 5, 6, and so on

So 6th term = 6^3 - 1 = 215

Question 39 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
next number of the following sequence 14, 29, 60, 123, 250 will be
A
505
B
675
C
605
D
450
Question 39 Explanation: 
14*2+1 = 29
29*2+2 = 60
60*2+3 = 123
123*2+4 = 250
so next = 250*2+5 = 505






Question 40 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
$50*49*48*47*.....*4*3*2*1 = x*(3^n)$ where $x$ is an integer not divisible by 3 then integral value of n will be
A
48
B
22
C
data are insufficient
D
25
Question 40 Explanation: 
Formula for solving the question is
[50/3] + [50/9] + [50/27], here [] represents integral value
= 16 + 5 + 1
= 22
There are 40 questions to complete.

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