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Aptitude Questions And Answers Sample Test 8


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Aptitude Test 8


You have scored 3 out of 10
You Scored:2
Total Questions:2
Attended Questions:2
Correct Answered:2
1. The difference b/w two parallel sides of a trapezium is 8 cm and the perpendicular distance b/w them is 38 cm. Find the lengths of the parallel sides, if the area of the trapezium is 950 cm 2 .





2. Find the area of the trapezium whose distance between the two parallel lines are 20 units and the length of the parallel lines are 22 and 12 units. 



Explanation:

For trapezium, Given values are
Length of the parallel sides = 22 cm and 12 cm
Distance b/w parallel sides = height = 20 cm

Area of the trapezium = (sum of the Length of the parallel sides * height) / 2
= [(22 + 12) * 20] / 2
= (34 * 20) / 2
= 680 / 2
= 340 cm^2
Thus, the Area of the trapezium = 340 cm^2


3. The average weight of a class having 14 students is 44 kg. Find the total weight of the class.



Explanation:

Solution is
Average = Total Quantity / No. of Quantity
Total quantity = Avg x No. of Quantity

Total quantity = 14 x 44
= 616
Answer is 616


4. Find the next number in the the below series

11, 26, 44, 65, _____



Explanation:

In the given series, 11, 26, 44, 65 ,
Consecutive numbers increase by 15 ,18 ,21.
Following the same pattern, the next number should increase by 24.
When we add 24 to the last number (i.e 65) we get 24+65=89


5. Total marks obtained by a class is 720 and the average score of the class is 72. Find the total number of students in the class? 



Explanation:

Total number of students = Total Marks / Average Marks
Total No. of students = (720 / 72) = 10


6. Find the next number in the the below series

4, 21, 45, 76, _____



Explanation:

In the given series, 4, 21, 45, 76 ,
Consecutive numbers increase by 17 ,24 ,31.
Following the same pattern, the next number should increase by 38.
When we add 38 to the last number (i.e 76) we get 38+76=114


7. Find the next number,
2, 6, 12, 20, ?



Explanation:

Given : 2, 6, 12, 20 1 x 2, 2 x 3, 3 x 4, 4 x 5, (5 x 6) Answer is 30. Product of two consecutive natural numbers


8. Of three numbers, the third is twice the second and the second is 4 times the first. If their average is 78, the smallest of the three numbers is:



Explanation:

Let first number be x.
So,2nd number = 4x &
3rd number.=8x.
Average of 3 numbers = 78
So,x + 4x + 8x = 78 * 3 = 234.
13x = 234
x = 234 / 13
x =18
Hence, smallest Number x=18.


9. Can you find out the approximate value for the following expression:

9228.789 − 5021.832 + 1496.989 = ?



Explanation:

Given expression is:
9228.789 − 5021.832 + 1496.989 = ?

On taking the round-off values, we get,
9230 − 5020 + 1500 = ?
= 4210 + 1500
= 5710
The nearest value in the given options is 5700.
So the number is 5700


10. x^2 =729,
y = sqrt(729) 



Explanation:

Given
x^2 =729,
y = sqrt(729)
x^2 =729
x = ( 729) ^ 2
x = + 27 ,- 2
Y = sqrt(729
Y = + 27.

ThusX <= Y is established.


11. A shopkeeper buys bananas at 12 for Rs 9 and sells at 9 for Rs.12. Find his gain or loss percent



Explanation:

L.C.M of 9 and 12 = 36

Given, C.P of 12 bananas = 9 Rs.
=> C.P of 36 bananas = 27 Rs.

Given, S.P of 9 bananas = 12 Rs
=> S.P of 36 bananas = 48 Rs.

Since S.P > C.P, there must be some profit,
Profit = S.P - C.P
= 48 - 27 = 21

Profit percentage = (profit / C.P) x 100
= (21 / 27) x 100
= 700 / 9
= 77.78%


12. Shopping mall has a square shaped childrens play area. The distance between the ends of the diagonal measures 40m. Find the Perimeter of Children's play area ?



Explanation:

Given Diagonal length of the children's play Perimeter measures 40m
Perimeter of the Children play Perimeter (Square Shape) = (2 x Diagonal x ?2 )
=> (40x 2 x ?2 ) =80(?2)sq.m


13. A started a business by investing Rs.5000/-. After 4 months B joined by investing Rs.4000/- After 2 months C joined by investing Rs.3000/-. At the end of the year, they got a profit of Rs.5500/-. What is A's share? 



Explanation:

A = Rs.5000/- per 12 months
B = Rs.4000/- per 8 months
C = Rs.3000/- per 6 months

A : B : C= (5000 * 12) : (4000 * 8) : (3000 * 6)
= 30 : 16 : 9

Total = 55 parts -----> Rs.5500/- (profit)
=> 1 part ------> Rs.100/-

Then, A's share is = 30 part = Rs.100 * 30 parts = Rs.3000/-


14. Find the next number in the the below series

5, 23, 43, 65, _____



Explanation:

In the given series, 5, 23, 43, 65 ,

Consecutive numbers increase by 18 ,20 ,22.

Following the same pattern, the next number should increase by 24.

When we add 24 to the last number (i.e 65) we get 24+65=89


15. Find the next number in the the below series

7, 28, 56, 91, _____



Explanation:

In the given series, 7, 28, 56, 91 ,

Consecutive numbers increase by 21 ,28 ,35.

Following the same pattern, the next number should increase by 42.

When we add 42 to the last number (i.e 91) we get 42+91=133


16. Find the greatest number which can divide 19 and 6 ?



Explanation:

The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.


17. Find the next number in the the below series

5, 18, 33, 50, _____



Explanation:

In the given series, 5, 18, 33, 50 ,

Consecutive numbers increase by 13 ,15 ,17.

Following the same pattern, the next number should increase by 19.

When we add 19 to the last number (i.e 50) we get 19+50=69


18. Can you find the answer for the below equation

15 * 16 + 17 - 18 / 19   



Explanation:

Given Question is 15 * 16 + 17 - 18 / 19
when we apply BODMAS RULE to the above question, we get (Bracket Of Division)
=15 * 16 + 17- ( 18/ 19 )
= 15 * 16 + 17- 0.94
= 256.05.


19. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 24 and 15 units





20. Which one of the following numbers is exactly divisible by 11?



Explanation:

(4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11. (2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11. (4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11. (4 + 6 + 1) - (2 + 5 + 4) = 0, So, 415624 is divisible by 11.


21. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?



Explanation:

Required Run rate = ( 282 - ( 3.2 x 10 ) )/ (40) = ( 250) /(40) = 6.25


22. In a group of cows and hens, the number of legs are 14 more than twice the number of heads. Find the number of cows.



Explanation:

Let the number of cows be C and the number of hens be H.
Given, Number of legs = 14 + Number of heads
We know that, Cow has 4 legs, whereas Hen has 2 legs
=> 4C + 2H = 14 + 2(C + H)
=> 4C + 2H = 14 + 2C + 2H
=> 4C – 2C + 2H – 2H = 14
=> 2C = 14
=> C = 7
Therefore, the number of Cows = 7


23. A and B can complete a work in 12 and 24 days. If both work together in how many days the work will get 50% completed (in days)?



Explanation:

A's 1 day work = 1 / 12
B's 1 day work = 1/ 24
(A + B)'s 1 day work = (1/12) + (1/24) =(3) /(24) = 1 / 8
100% of the work will get over in 8 days.
50% of the work will get over in 4 days.


24. One Side of a Square measures 22 units. Can you find the Perimeter of the square ?



Explanation:

Perimeter = 4 x Side


25. Find the next number in the the below series

22, 26, 33, 43, _____



Explanation:

In the given series, 22, 26, 33, 43 ,

Consecutive numbers increase by 4 ,7 ,10.

Following the same pattern, the next number should increase by 13.

When we add 13 to the last number (i.e 43) we get 13+43=56


26. A sum of money invested at compound interest amounts to Rs.800 in 3 years and to Rs.840 in 4 years. The rate of interest p.a. is:





27. If a/b = 3 / 2 then find (3a + b ) / (3a - b) = 





28. Can you find the answer for the below equation

30 / 114 - 107 * 110 + 103



Explanation:

Given Question is 30 / 114 - 107 * 110 + 103
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) ( 30 / 114 ) - 107 * 110 + 103 = 0.26-107*110+103 = -11666.74


29. If a quarter kg of potato costs 60 paisa, how many paisa will 200gm cost ?



Explanation:

Quarter kg = 250 grams Less weight, less price (direct proportion) 250 : 200 :: 60 : x x = (200 x 60)/ 250 => x = 48 So 200 gm will cost 48 paisa


30. Three people A,B and C started business with their capital in the ratio 2 : 2 : 5. If the total capital was Rs. 92250, find the difference in the investment of A and B



Explanation:

Given capital is Rs. 92250 Ratio of Investment of A,B and C is 2 : 2 : 5 A's investment = 92250 x (2/(2+2+5)) A's investment = 20500 Similarly C's investment = 51250 Difference in the investment = 30750




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