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Aptitude Questions And Answers Sample Test 5


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Aptitude Test 5


You have scored 3 out of 10
You Scored:2
Total Questions:2
Attended Questions:2
Correct Answered:2
1. Given | x - 7 | < 1 , then find the values what x can take?



Explanation:

Given | x - 7 | < 1
=> -1 < x-7 < 1
=> -1 + 7 < x < 1 + 7
=> 6 < x < 8


2. Evaluate the expression : 3 + 6 - 10 / 4 + 3 * 2 - 2





3. What would be the compound interest accrued on an amount of 5000 Rs. at the end of 2 years at the rate of 16 % per annum?



Explanation:

Given principal = 5000
No. of years = 2
Rate of interest = 16

Amount = P x (1+r/100)^n,
= 5000 x (1+16/100)^2
= 5000 x (1 + 4/25)^2
= 5000 x (29 / 25)^2
= 5000 x (841 / 625)
=6728
=>Amount = Rs.6728

Compound Interest = Amount - Principal

= 6728 - 5000
=1728
Thus,Compound Interest = Rs.1728



4. Can you find the approximate value for the below equation

133.01 - 145.99 / 120.01 + 127.99 * 112.99



Explanation:

Given Question is 133.01 - 145.99 / 120.01 + 127.99 * 112.99
when we apply BODMAS RULE and round it off, we get => 133 - ( 146 / 120 ) + 128 * 113 = 133 - 1+ 128 * 113 = 14593


5. Can you find the answer for the below equation

37 * 218 / 204 - 215 + 206



Explanation:

Given Question is 37 * 218 / 204 - 215 + 206
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 37 * ( 218 / 204 ) - 215 + 206 = 37 * 1.06- 215 + 206 = 30.54


6. A, B started a business by investing Rs.3000/- and Rs.5000/-. A is working and B is sleeping partner. A gets 10% of profits for managing, the rest being divided in proportion to their capitals out of a total profit of Rs.8,000/-. Then find the A's total.



Explanation:

Given, A's invested amount = Rs.3000/-
B's invested amount = Rs.5000/-
Then, A's share : B's share = 3 : 5
=>Total parts = 3 + 5 = 8

Given, Total profit = Rs.8000/-
From which A gets 10%
so, 10 % of 8000 = 800/-
A's Salary = Rs.800/-

Remaining profit amount = Rs.7200/-
Total parts = 8
8 parts -----> Rs.7200/-
1 part ------> Rs.900/-

A's share ===> Rs.900/- * 3 parts = Rs.2700/-

A's total = A's share + A's salary
= Rs.2700 + Rs.800
= Rs.3500/-


7. A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel is:



Explanation:

Given, Length of the train = 800 m
Speed of the train = 78 km/hr (convert km/hr to m/sec)
= 78 * (5/18) m /sec
= 21.667 m /sec
=> Speed of the train = 21.667 m /sec
Time taken by the train to cross the tunnel = 1 min = 60 sec

To find the length of the tunnel:
Time taken by train to cross tunnel = (Length of tunnel + Length of train) / speed of the train
=> 60 = (Length of tunnel + 800) / 21.667
=> 60 * 21.667 = Length of tunnel + 800
=> 1300 = Length of tunnel + 800
=> 1300 – 800 = Length of tunnel
=> 500 = Length of tunnel
Thus, the Length of tunnel = 500 m


8. If a:b=5:12 and b:c=11:4 then find a:b:c



Explanation:

a:b = 5 x 11 : 12 x 11 = 55 : 132 b:c = 11 x 12 : 4 x 12 = 132 : 48
a:b:c = 55 : 132 : 48


9. Petrol & Kerosene are mixed in the ratio of 7:10. Total Volume of the mixture is 500 litres. Find the composition of Petrol in the overall mixture?



Explanation:

Given Petrol & Kerosene are in the ratio of 7:10 Given volume of mixture = 500 litres Quantity of Petrol = 7/(7+10) x 500 = 205.88


10. Can you find the approximate value for the below equation




Explanation:



11. Find the next number in the the below series

10, 20, 32, 46, _____



Explanation:

In the given series, 10, 20, 32, 46 ,

Consecutive numbers increase by 10 ,12 ,14.

Following the same pattern, the next number should increase by 16.

When we add 16 to the last number (i.e 46) we get 16+46=62


12. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number? 



Explanation:

Let the ten's digit be x and unit's digit be y.
Then, x + y = 15 and x - y = 3 or y - x = 3.

Solving x + y = 15 and x - y = 3,
we get: x = 9, y = 6.

Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9.

So, the number is either 96 or 69. Hence, the number cannot be determined


13. The profit earned by selling an article for Rs. 600 is equal to the loss incurred when the same article is sold for Rs. 400. What should be the sale price of the article for making 25% profit?   



Explanation:

Let the cost price be Rs. k
Now, as per the question,
600 - k = k - 400
=> 2k = 1000
=> k = 500
Again, selling price of the article for making 25 % profit
= (500 x 125) /200
= 125 * 5
= Rs. 625


14. Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? 



Explanation:

Let, the sum paid to Tailor X per week be Rs. X
and the sum paid to Tailor Y per week be Rs. Y

Given, Two tailors X and Y are paid a total of Rs. 550 per week
=> X + Y = 550 ---> eqn (1)

Given, X is paid 120 percent of the sum paid to Y
=> X = 120 % of Y
=> X = (120 / 100) * Y
=> X = (6 / 5) * Y
On substituting this value for X in eqn (1), we get

=> (6 / 5) * Y + Y = 550
=> (6Y + 5Y) / 5 = 550
=> 11Y = 550 * 5
=> 11Y = 2750
=> Y = 2750 / 11
=> Y = 250 Rs.

Thus, the sum paid to Tailor Y per week be Rs. 250


15. Can you find the answer for the below equation

59 + 65 * 61 - 63 / 67



Explanation:

Given Question is 59 + 65 * 61 - 63 / 67
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 59 + 65 * 61- ( 63/ 67 ) = 59 + 65 * 61- 0.94 = 4023.06


16. What would be the compound interest accrued on an amount of 11500 Rs. at the end of 2 years at the rate of 10 % per annum ? 



Explanation:

Given
Principal = 11500 No. of years = 2 Rate of interest = 10
Amount = P x (1+r/100)^n,
we get Amount = 11500 x (1+10/100)^2
= 11500 x ( 110 / 100 )^ 2
= 115 x 11 x 11
= 115 x 121
Ans : 13915


17. Can you find the answer for the below equation

121 * 722 / 708 - 719 + 710



Explanation:

Given Question is 121 * 722 / 708 - 719 + 710
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 121 * ( 722 / 708 ) - 719 + 710 = 121 * 1.01- 719 + 710 = 114.39


18. Find the next number in the the below series

5, 26, 54, 89, _____



Explanation:

In the given series, 5, 26, 54, 89 ,

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 89) we get 42+89=131


19. Can you find the approximate value for the below equation

36.99 + 40.01 * 37.99 - 44.01 / 46.01



Explanation:

Given Question is 36.99 + 40.01 * 37.99 - 44.01 / 46.01
when we apply BODMAS RULE and round it off, we get => 37 + 40 * 38- ( 44/ 46 ) = 37 + 40 * 38- 1 = 1556


20. Can you find the approximate value for the below equation

87.99 + 91.01 * 88.99 - 95.01 / 97.01



Explanation:

Given Question is 87.99 + 91.01 * 88.99 - 95.01 / 97.01
when we apply BODMAS RULE and round it off, we get => 88 + 91 * 89- ( 95/ 97 ) = 88 + 91 * 89- 1 = 8186


21. Can you find the answer for the below equation

92 - 144 + 152 / 153 * 144



Explanation:

Given Question is 92 - 144 + 152 / 153 * 144
when we apply BODMAS RULE to the above question, we get 92 - 144 + ( 152/ 153 ) * 144 = 92 - 144 + 0.99* 144 = 91.06


22. Can you find the answer for the below equation

148 + 152 * 140 / 147 - 144



Explanation:

Given Question is 148 + 152 * 140 / 147 - 144
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 148 + 152 * ( 140/ 147 ) - 144 = 148 + 152 * 0.95- 144 = 148.76


23. One Side of a Square measures 18 units. Can you find the Difference between Area and Perimeter of the square ?



Explanation:

Difference between area & perimeter = (Side x side ) - (4 x Side)


24. Find the next number in the the below series

10, 27, 46, 67, _____



Explanation:

In the given series, 10, 27, 46, 67 ,

Consecutive numbers increase by 17 ,19 ,21.

Following the same pattern, the next number should increase by 23.

When we add 23 to the last number (i.e 67) we get 23+67=90


25. If 23 % of "a" is 46, then "a" = ?



Explanation:

(23/100) x 46 = 200


26. A particular student has scored an average marks of 69.25 in all his 20 subjects. Find the Total Score he has obtained in all his subjects?



Explanation:

Use the below formula to find the Total, when Average and Total No. of Students is provided Total = Average * Total Students/People Total = Average * Total Number of Students) Average Weight = ( 69.25 x 20) = 1385


27. Suppose triangle(ABC) be a right-angled triangle where angle(A) = 90 deg, and AD perpendicular to BC. If triangle(ABC) = 40 cm^2, triangle(ACD) = 10 cm^2 and AC = 9 cm, then the length of BC is





28. A began a business with Rs.5000/- and was joined afterwards by B with Rs.4000/-. If the profits at the end of the year were divided in the ratio 3:1, B joined the business after:? 



Explanation:

1) Share's ratio is always equal to profit ratio
2) When two ratios are equal, then the cross products of the ratios are equal.
That is, for the proportion, a:b = c:d , a x d = b x c
A = 5000/- per 12 Months B = 4000/- per x Months 4000 * 12 : 5000 * 8 = 3 : 1
=> 6 : 5 = 3 : 1
=> 3x = 15
=> x = 5 Months
Then, B joined the business after = 12 - x ==> 12 - 5 ==> after 7 Months.


29. In the first 10 overs of a cricket game, the run rate was only 6.2. What should be the run rate in the remaining 40 overs to reach the target of 414 runs ?  



Explanation:

Given
In, first 10 overs of a cricket game.
Run rate = 6.2
Required Run rate in the remaining 40 overs to reach the target of 414 runs
Required Run rate
=( 414 - ( 6.2 x 10 ) / (40)
= 414 - 6.20 / 40
= ( 352) / (40)
=8.8


30. Can you find the answer for the below equation

20 + 24 * 12 / 19 - 16  



Explanation:

Given Question is 20 + 24 * 12 / 19 - 16
when we apply BODMAS RULE to the above question, we get (Bracket Of Division)
=20 + 24 * ( 12/ 19 ) - 16
= 20 + 24 * 0.63- 16
= 19.16.




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