puzzles quantitative aptitude test

Online aptitude test questions and answers for company exam

 Question 41 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is greater than 15?
 [A] 8/36 [B] 11/36 [C] 15/36 [D] 9/36
Explanation:
Total Number of possible outcomes = 6C1*6C1 = 36
Positive outcomes must satisfy D1*D2> 15
For D1 or D2 = 1 and 2 there is no possibility of getting D1*D2 > 15
For D1 = 3, we have D2=5 and 6 which satisfies D1*D2 > 15
(3, 5) and (3, 6)
For D1 = 4, we have D2=4, 5 and 6 which satisfies D1*D2 > 15
(4, 4), (4, 5) and (4, 6)
For D1 = 5, we have D2=4, 5 and 6 which satisfies D1*D2 > 15
(5, 4), (5, 5) and (5, 6)
For D1 = 6, we have D2=3, 4, 5 and 6 which satisfies D1*D2 > 15
(6, 3), (6, 4), (6, 5) and (6, 6)

Count of positive outcome = 11
Probability = Positive outcome/Total Possible Outcomes = 11/36
 Question 42 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Total four-digit number formed by using non-zero integers (1 to 9) greater than 1745 are
 [A] 6328 [B] 6147 [C] 6043 [D] 6245
Explanation:
Total number of the format
174x are 1*1*1*4 = 4
17xy are 1*1*5*9 = 45
1xyz are 1*2*9*9 = 162
pxyz are 8*9*9*9 = 5832
Tota = 6043

 Question 43 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Out of three given numbers, the first one is twice the second and three times the third. If the average of these numbers is 88, then the difference between first and third is.
 [A] 36 [B] 48 [C] 96 [D] 94
Explanation:
Let first =, X Then, second = x/2 and third x/3
x + x/2 + x/3 = 3*88
11x/6 = 264
x = 144
First - Third
144 - 1/3*144 = 96

 Question 44 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
x + y + z = 6, where, X y, z are integers from 0 to 6, Total no. of possible set of values of, X y and z are?
 [A] 24 [B] 18 [C] 35 [D] 28
Explanation:
Formula for solving problem = (n+r-1) (n+r-2)/(r-1) (r-2)
Here n = 6 & r = 3
On applying values we get (6+3-1) (6+3-2) / (3-1) (3-2) = 8*7/2*1 = 28

 Question 45 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
The sum of four positive integer is 15. If the sum of two greater integers is 4 times the sum of two smaller integers, then what will be the sum of two smaller integers.
 [A] 6 [B] 1 [C] 3 [D] 5
Explanation:
x = 4y and x+y = 15
on solving we get y = 3
 Question 46 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
next no. of the sequence 5/2, 17/4, 37/6, 65/8, 101/10, ..... will be
 [A] 145/12 [B] 149/12 [C] 137/12 [D] 197/12
Explanation:
the sequence is
2+1/2
4+1/4
6+1/6
8+1/8
10+1/10
12+1/12

 Question 47 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
The difference of a number of two digit and a number formed by reversing its digit is 54. The number is
 [A] 48 [B] 83 [C] 71 [D] 73
Explanation:
60 06 = 54
71 17 = 54
82 28 = 54
93 39 = 54
 Question 48 ->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, 4, 9, 7, 7, 9, .....
 [A] 17 [B] 16 [C] 13 [D] 4
Explanation:
1^2=1=1+0=1
2^2=4=4+0=4
3^2=9=9+0=9
4^2=16=1+6=7
5^2=25=2+5=7
6^2=36=3+6=9
7^2=49=4+9=13

 Question 49 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
sqrt(1) % of sqrt(1) + sqrt(3) % of sqrt(3) + sqrt(5) % of sqrt(5) + .....+ sqrt(999999) % of sqrt(999999)
 [A] $25*10^8$ [B] $64*10^4$ [C] $25*10^6$ [D] $25*10^4$
Explanation:
sqrt(x) % of sqrt(x) = x/100
besides it 1+3+5+7+.....+upto n terms = n^2
apply it and get the answer
 Question 50 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Raghav scored below runs in his last 7 innings 13 ; 38 ; 3 ; 29 ; 14 ; 68 ; 17 Find population standard deviation for his score in last 7 innings?
 [A] 21.76 [B] 20.14 [C] 24.81 [D] 24.89
Explanation:
Mean of 7 score = (13+38+3+29+14+68+17)/7 = 182/7 = 26
Sum of squared difference from mean for each number = (26-13)^2 + (26-38)^2 + (26-3)^2 + (26-29)^2 + (26-14)^2 + (26-68)^2 + (26-17)^2
= 2840

Average of Squared difference (Variance) = 2840/7 = 405.71
Standard Deviation = Square root of variance = 405.71^1/2 = 20.14
There are 50 questions to complete.