puzzles quantitative aptitude test

Online aptitude test questions and answers for company exam

Question 241 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
average of 5 non negative integers is 9. If sum of any 3 integers out of 5 is 36, then the possible product of other 2 will be
A
8
B
14
C
28
D
9
Question 241 Explanation: 
non negative means 0 is also a possible integer.
now grand sum of 5 integers = 45
sum of 3 integers = 36
so sum of other 2 = 9
possible cases are
0, 9
1, 8
2, 7
3, 6
4, 5
now check






Question 242 ->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, 6, 31, 156, 781, .....
A
3450
B
3906
C
1575
D
1275
Question 242 Explanation: 
1 = 1
1+5 = 6
1+5+5^2 = 1+5+25 = 31
1+5+5^2+5^3 = 1+5+25+125 = 156
1+5+5^2+5^3+5^4 = 1+5+25+125+625 = 781
Similarly
1+5+5^2+5^3+5^4+5^5 = 1+5+25+125+625+3125 = 3906
Question 243 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Sum of a natural number x and its reciprocal is equal to the ratio of product of two numbers first 2 more than the number, X second 1 less than the number x and the number x. x is
A
1
B
8
C
7
D
3
Question 243 Explanation: 
According to the given condition
x + (1/x) = (x-1)(x+2)/x
or (x^2 + 1)/x = (x^2 + x -2)/x
or 1 = x-2
or x = 3






Question 244 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
x+10y = 17 and x+y = 8 so 16x+15y will be
A
92
B
109
C
127
D
112
Question 244 Explanation: 
x+10y = 17 and x+y = 8
on solving we will get x = 7 and y = 1
Question 245 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. How many litres does the cistern hold?
A
7960
B
7450
C
8640
D
8080
Question 245 Explanation: 
Part filled in 1 hours = (1/8 - 1/12) = 1/24
Therefore Time taken to fill the cistern = 24 hours
Water moved in 24 hours = (6*24*60) litres = 8640 litres






Question 246 ->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 13, 34, 74, 170, 290, .....
A
471
B
458
C
595
D
359
Question 246 Explanation: 
13 = 4 + 9 = 2^2 + 3^2
34 = 9+25 = 3^2 + 5^2
74 = 25 + 49 = 5^2 + 7^2
170 = 49 + 121 = 7^2 + 11^2
290 = 121 + 169 = 11^2 + 13^2
Similarly
458 = 169+289 = 13^2 + 17^2

)
2, 3, 5, 7, 11, 13, 17 ... are prime numbers
Question 247 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
How many combinations can be formed by using 3 green, 2 white and 4 black balls
A
24
B
9
C
48
D
59
Question 247 Explanation: 
Total methods = (3+1)(2+1)(4+1) - 1 = 59






Question 248 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Sum of the ages of two men is 70 years. If one man is 2 year elder than the other, then sum of squares of their ages are?
A
1572
B
5862
C
2452
D
6385
Question 248 Explanation: 
x + (x +2) = 70 => x = 34
Numbers are 34 and 36; sum of their squares is 1156 + 1296 = 2452
Question 249 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
352 cubic centimeters of silver is drawn into a wire 2 mm in diameter. The length of the wire will be:
A
24000 mm
B
112 m
C
224000 cm
D
280 cm
Question 249 Explanation: 
Radius in cm = (1/2)*(2/10) = 0.1 cm

Volume of Cylinder = Pi*r^2*l

So, Length l = 352/(Pi*r^2)
=> 352/(22/7 * 0.1 * 0.1)
=> 11200 cm = 112 m






Question 250 ->Click on any option to know the correct answers (सही उत्तर जानने के लिए किसी भी Choice पर क्लिक करें)
Area of an equilateral triangle is $25*\sqrt3$ $cm^2$. Perimeter is
A
10 cm
B
40 cm
C
20 cm
D
30 cm
Question 250 Explanation: 
(sqrt3/4)*a^2=25*sqrt3 (let a be the side of an equilateral triangle)
a^2=100
a=10
perimeter 30cm
There are 250 questions to complete.

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