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Aptitude Questions And Answers Sample Test 4


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Aptitude Test 4


You have scored 3 out of 10
You Scored:2
Total Questions:2
Attended Questions:2
Correct Answered:2
1. Can you find the answer for the below equation

236 / 597 * 587 + 592 - 583



Explanation:

Given Question is 236 / 597 * 587 + 592 - 583
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) ( 236 / 597 ) * 587 + 592 - 583 = 0.39*587+592-583 = 241.05


2. Which one of the following can't be the square of natural number ?



Explanation:

The square of a natural number nerver ends in 2. 143642 is not the square of natural number.


3. Can you find the answer for the below equation

9 + 15 * 11 - 13 / 17



Explanation:

Given Question is 9 + 15 * 11 - 13 / 17
when we apply BODMAS RULE to the above question, we get (Bracket Of Division) 9 + 15 * 11- ( 13/ 17 ) = 9 + 15 * 11- 0.76 = 173.24


4. What is 13.75% of 3000?



Explanation:

13.75% of 3000 = (13.75/100 ) x 3000 = 412.5


5. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B? 



Explanation:

Given
Let C's age be x years.
Then, B's age = 2x years.
A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age
= 2x
= 2 * 5
= 10 years.


6. Find the next number in the the below series

9, 34, 62, 93, _____



Explanation:

In the given series, 9, 34, 62, 93 ,
Consecutive numbers increase by 25 ,28 ,31.
Following the same pattern, the next number should increase by 34.
When we add 34 to the last number (i.e 93) we get 34+93=127


7. Can you find the answer for the below equation

108 - 257 * 262 + 265 / 254



Explanation:

Given Question is 108 - 257 * 262 + 265 / 254
when we apply BODMAS RULE to the above question, we get 108 - 257 * 262+ ( 265/ 254 ) = 108 - 257 * 262+ 1.04 = -67224.96


8. Find the next number in the the below series

9, 28, 54, 87, _____



Explanation:

In the given series, 9, 28, 54, 87 ,

Consecutive numbers increase by 19 ,26 ,33.

Following the same pattern, the next number should increase by 40.

When we add 40 to the last number (i.e 87) we get 40+87=127


9. Find the next number in the the below series

19, 45, 72, 100, _____



Explanation:

In the given series, 19, 45, 72, 100 ,
Consecutive numbers increase by 26 ,27 ,28.
Following the same pattern, the next number should increase by 29.
When we add 29 to the last number (i.e 100) we get 29+100=129


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

60.99 / 71.99 * 58.01 - 65.01 + 54.01



Explanation:

Given Question is 60.99 / 71.99 * 58.01 - 65.01 + 54.01
when we apply BODMAS RULE and round it off, we get => ( 61 / 72 ) * 58 - 65 + 54 = 1*58-65+54 = 38


11. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs.12,000 after 3 years at the same rate?  



Explanation:

Let the Principal be, P = Rs. 100

Given, S.I = 60% of 100 = Rs. 60, n = 6 years
Then, Rate of Interest, r = (S.I * 100 )/ (p * n)
=> r = (60 * 100) / (100 * 6)
=> r = 10 % p.a

Now, P = Rs. 12,000, n = 3 years, r = 10% p.a

C.I = P {[1 + (r/100)]n - 1}
= 12,000 * {[1 + (10/100)]3-1}
= 12,000 * [(11/10)3-1]
= 12,000 * [(1331/1000) - 1]
= 12,000 * (331/1000)
= 12 * 331
= 3972

Thus, Compound Interest = Rs. 3972


12. Which of the following option represents the sides of a right angled triangle?



Explanation:

For right angled triangle,
Hypotenuse side (largest side) = sqrt(sum of other two sides)
From among the given options
=> 61 = sqrt (11^2 + 60^2)
=> 61 = sqrt(121 + 3600)
=> 61 = sqrt(3721)
=> 61 = 61
Thus 11, 60, 61 forms a right angled triangle.


13. If the radius of two cone are in the ratio 7:8 and of same height then ratio of their volume is 





14. If x + 1 /x = 2 then evaluate x^23 + 1/x^32



Explanation:

Given, x + (1 /x) = 2
=> (x^2 + 1) / x = 2
=> (x^2 + 1) = 2x
=> x^2 - 2x + 1 = 0
=> (x – 1) (x – 1) = 0
=> x = 1
Subs x = 1 in the eqn x^23 + 1/x^32
=> (1)^23 + (1/1^32)
= 1 + 1
= 2
Therefore, x^23 + 1/x^32 = 2


15. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women? 



Explanation:

Given
Total Men = 7
Total Women = 3
From total, agroup of 5 men and 2 women be made out
Required number of ways
=>(7C5 x 3C2)
=>( 7 * 6 * 5 * 4 * 3 * 2 * 1 ) / (5 * 4 * 3 * 2 * 1) x ( 3 * 2) / ( 2 * 1 )
=>( 7 * 3 ) x ( 3 )
=> 21 * 3
=> 63.


16. In how many ways 6 people can be arranged in row, if one particular person always wants to stand in the rightmost corner? 



Explanation:

Out of 6 person one wants to be in the right most corner, so ignore him
Out of the remaining 5 people, they can be arranged in 5! ways.


17. Find the sum of the linear factors of x^2 - 12 x + 20





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

176.01 + 178.99 * 181.01 / 184.01 - 190.99



Explanation:

Given Question is 176.01 + 178.99 * 181.01 / 184.01 - 190.99
when we apply BODMAS RULE and round it off, we get => 176 + 179 * ( 181/ 184 ) - 191 = 176 + 179 * 1- 191 = 161


19. What should come in place of X in the below number series?

133, 104, 75, X , 17, -12 



Explanation:

The given series is -- 133, 104, 75, X , 17, -12
Consecutive numbers decreases by 29
Following this pattern, the Missing Number X should decrease by 29 from the previous number.
When we subtract 29 to the number before X (i.e 75) we get 75--29=46


20. Find the next number in the the below series

14, 39, 65, 92, _____



Explanation:

In the given series, 14, 39, 65, 92 ,

Consecutive numbers increase by 25 ,26 ,27.

Following the same pattern, the next number should increase by 28.

When we add 28 to the last number (i.e 92) we get 28+92=120


21. One Side of a Square measures 16 units. Can you find the Sum of Area and Perimeter of the square ?



Explanation:

Sum of area & perimeter = (Side x side )+ (4 x Side)


22. The marked price of a radio is 20% more than its cost price. If a discount of 10% is given on the marked price, find the gain percent. 



Explanation:

Let the C.P = 100 Rs.
M.P = 20% more than 100.
Then, M.P = 100 + 20% of 100 = 120.

He gives discount of 10%,
Now, S.P = M.P - 10% of M.P
=> S.P = 120 - 10% of 120 = 108.

Gain = S.P - C.P = 108 - 100 = 8 Rs.
Gain percent = (Gain / C.P) * 100= (8 / 100) * 100 = 8%


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

99.01 / 103.01 - 99.01 + 100.99 * 95.99



Explanation:

Given Question is 99.01 / 103.01 - 99.01 + 100.99 * 95.99
when we apply BODMAS RULE and round it off, we get => ( 99 / 103 ) - 99 + 101 * 96 = 1-99+101*96 = 9596


24. Find the approximate value for the expression:
44.998 + 12.998 / 2.003 * 12.001 - 6.002 



Explanation:

Given Question is 44.998 + 12.998 / 2.003 * 12.001 - 6.002
when we apply BODMAS RULE to the above question,
Step - 1 : (Bracket Of Division) 45 + ( 13 / 2 ) * 12 - 6 = 45 + 6.5 * 12 - 6
Step - 2 : 45 + ( 6.5 * 12 ) - 6 = 45 + 78 - 6 = 117


25. If |x-2| < 12 then



Explanation:

Given, |x-2| < 12
=> -12 < x -2 < 12
=> -12 + 2 < x < 12 + 2
=> -10 < x < 14


26. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?

69, 78, 87, X , 105, 114



Explanation:

The given series is -- 69, 78, 87, X , 105, 114
Consecutive numbers increases by 9
Following this pattern, the Missing Number X should increase by 9 from the previous number.
When we add 9 to the number before X (i.e 87) we get 87+9=96


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

106.01 - 118.99 / 93.01 + 100.99 * 85.99



Explanation:

Given Question is 106.01 - 118.99 / 93.01 + 100.99 * 85.99
when we apply BODMAS RULE and round it off, we get => 106 - ( 119 / 93 ) + 101 * 86 = 106 - 1+ 101 * 86 = 8789


28. Evaluate the Expression:
14.99% of 940 + 9.99% of 820 



Explanation:

Given
14.99% of 940 + 9.99% of 820
15% of 940
=> ( 15 / 100 * 940 )
=> 47 * 3
=> 141

10% of 820
=>( 10 / 100 * 820 )
=> 82 * 1
=> 82

Adding the above 2 results, we get
=>141+82 = 223
=> 223


29. 40 liters of mixture has 65% milk. How much milk should be added to the mixture to make it 85% pure?(in liters)



Explanation:

Original mixture comprises 40 liters of milk and water.
Out of the 40 liters, 65% is pure milk.
=> ( 65 / 100 ) x 40 = pure milk
=>26 liters = pure milk

In 40 liters mixture, remaining 14 liters = water

When "x" liters of pure milk is added to 40 liters of mixture, to make new mixture 85% pure milk.
New mixture = ( 40 + x ) liters
Milk in new mixture = (26 + x) liters
Given milk in new mixture = 85% of (40 + x)
=> 26 + x = (85/ 100) * (40 + x)
=> 100 * (26 + x) = 85 *(40 + x)
=> 2600 + 100x = 3400 + 85x
=> 100x - 85x = 3400 - 2600
=> 15x = 800
=> x = 800/15
=> x = 53.33
=> x= 53 (approximately)

Hence we need to "add 53 liters of pure milk" to the 40 liters of mixtureto make it 85 % pure.


30. Below Numbers follow a particular pattern. Can you find the next number ?

181, 200, 219, 238, _____



Explanation:

The given series is -- 181, 200, 219, 238
Consecutive numbers increases by 19
Following this pattern, the Missing Number should increase by 19 from the previous number.
When we add 19 to the last number (i.e 238) we get 238+19=257




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