Online Aptitude Test - Aptitude Test - Random
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- Total number of questions: 20.
- Time allotted: 30 minutes.
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Marks : 2/20
Test Review : View answers and explanation for this test.
| If 60% of | 3 | of a number is 36, then the number is: |
| 5 |
Let the number be x. Then
| 60% of | 3 | of x = 36 |
| 5 |
 |
60 | x | 3 | x x = 36 |
| 100 | 5 |
| x = |
 |
36 x | 25 |  |
= 100 |
| 9 |
Required number = 100
(325 + 326 + 327 + 328) = 325 x (1 + 3 + 32 + 33) = 325 x 40
= 324 x 3 x 4 x 10
= (324 x 4 x 30), which is divisible by30.
| Given Exp. = 666 x | 1 | x | 1 | = 37. |
| 6 | 3 |
Let the numbers be a and b. Then, a + b = 12 and ab = 35.
|
a + b | = | 12 | |
|
1 | + | 1 | |
= | 12 |
| ab | 35 | b | a | 35 |
| Sum of reciprocals of given numbers = |
12 |
| 35 |
Let the numbers be 37a and 37b.
Then, 37a x 37b = 4107
ab = 3.
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).
Greater number = 111.
Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x.
So, 60x = 2400 or x = 40.
The numbers are (3 x 40), (4 x 40) and (5 x 40).
Hence, required H.C.F. = 40.
Let the number of students in rooms A and B be x and y respectively.
Then, x - 10 = y + 10 x - y = 20 .... (i)
and x + 20 = 2(y - 20) x - 2y = -60 .... (ii)
Solving (i) and (ii) we get: x = 100 , y = 80.
The required answer A = 100.
2ab = (a2 + b2) - (a - b)2
= 29 - 9 = 20
ab = 10.
| Required average |
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Video Explanation: https://youtu.be/OXLnoItd0MA
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
3x + 20 = 2x + 40
x = 20.
Required ratio = (3x + 10) : (x + 10) = 70 : 30 = 7 : 3.
| C.P. = Rs. | |
100 | x 392 | |
= Rs. | |
1000 | x 392 | |
= Rs. 320 |
| 122.5 | 1225 |
Profit = Rs. (392 - 320) = Rs. 72.
Video Explanation: https://youtu.be/a36nJFgh5yk
Let the three parts be A, B, C. Then,
| A : B = 2 : 3 and B : C = 5 : 8 = | |
5 x | 3 | |
: | |
8 x | 3 | |
= 3 : | 24 |
| 5 | 5 | 5 |
| A : B : C = 2 : 3 : |
24 | = 10 : 15 : 24 |
| 5 |
| B = |
|
98 x | 15 | |
= 30. |
| 49 |
Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
= 48 : 32 : 64
= 3 : 2 : 4.
| Kamal's share = Rs. |
|
4005 x | 2 | |
= Rs. 890. |
| 9 |
Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the speed of the train? | |
I. | The train crosses a tree in 13 seconds. |
II. | The train crosses a platform of length 250 metres in 27 seconds. |
III. | The train crosses another train running in the same direction in 32 seconds. |
Let the speed of the train be x metres/sec.
| Time taken to cross a tree = | Length of the train |
| Speed of the train |
| Time taken to cross a platform = | (Length of the train + Length of the Platform) |
| Speed of the train |
| I gives, 13 = | l | 13x. |
| x |
| II gives 27 = | l + 250 |
| x |
| |
13x + 250 | = 27 |
| x |
| x = |
125 | m/sec. |
| 7 |
Thus I and II give the speed of the train.
The correct answer is (A.)
| Area to be plastered | = [2(l + b) x h] + (l x b) |
| = {[2(25 + 12) x 6] + (25 x 12)} m2 | |
| = (444 + 300) m2 | |
| = 744 m2. |
| Cost of plastering = Rs. |
|
744 x | 75 | |
= Rs. 558. |
| 100 |
 r2h |
= | 924 | r = |
|
924 | x 2 | |
= 7 m. |
| 2rh |
264 | 264 |
| And, 2rh = 264 h = |
|
264 x | 7 | x | 1 | x | 1 | |
= 6m. |
| 22 | 2 | 7 |
| Required ratio = |
2r | = | 14 | = 7 : 3. |
| h | 6 |
1 hectare = 10,000 m2
So, Area = (1.5 x 10000) m2 = 15000 m2.
| Depth = | 5 | m | = | 1 | m. |
| 100 | 20 |
| Volume = (Area x Depth) = |
|
15000 x | 1 | m3 |
= 750 m3. |
| 20 |
Video Explanation: https://youtu.be/dDbVuBzYop8
h = 14 cm, r = 7 cm.
So, l = (7)2 + (14)2 = 245 = 75 cm.
| Total surface area |
= rl + r2 |
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| = [154(5 + 1)] cm2 | ||||||||||
| = (154 x 3.236) cm2 | ||||||||||
| = 498.35 cm2. |
In 12 hours, the hands coincide or are in opposite direction 22 times.
In 24 hours, the hands coincide or are in opposite direction 44 times a day.
To earn Rs. 10, money invested = Rs. 100.
| To earn Rs. 12, money invested = Rs. | |
100 | x 12 | |
= Rs. 120. |
| 10 |
Market value of Rs. 100 stock = Rs. 120.