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.
5 | x z = 13 x 1 + 12 = 25
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9 | y - 4 y = 9 x z + 8 = 9 x 25 + 8 = 233
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13| z - 8 x = 5 x y + 4 = 5 x 233 + 4 = 1169
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| 1 -12
585) 1169 (1
585
---
584
---
Therefore, on dividing the number by 585, remainder = 584.
Required sum = (2 + 4 + 6 + ... + 30)
This is an A.P. in which a = 2, d = (4 - 2) = 2 and l = 30.
Let the number of terms be n. Then,
tn = 30 
a + (n - 1)d = 30
2 + (n - 1) x 2 = 30
n - 1 = 14
n = 15
 Sn = |
n | (a + l) | = | 15 | x (2 + 30) = 240. |
| 2 | 2 |
Unit digit in (4137)754 = Unit digit in {[(4137)4]188 x (4137)2}
=Unit digit in { 292915317923361 x 17114769 }
= (1 x 9) = 9
Let the numbers be a and b.
Then, a + b = 55 and ab = 5 x 120 = 600.
| The required sum = |
1 | + | 1 | = | a + b | = | 55 | = | 11 |
| a | b | ab | 600 | 120 |
| 5 x 1.6 - 2 x 1.4 | = ? |
| 1.3 |
| Given Expression = | 8 - 2.8 | = | 5.2 | = | 52 | = 4. |
| 1.3 | 1.3 | 13 |
Let the three integers be x, x + 2 and x + 4.
Then, 3x = 2(x + 4) + 3 
x = 11.
Third integer = x + 4 = 15.
Video Explanation: https://youtu.be/_77C9YE321Y
Let the duration of the flight be x hours.
| Then, | 600 | - | 600 | = 200 |
| x | x + (1/2) |
| |
600 | - | 1200 | = 200 |
| x | 2x + 1 |
x(2x + 1) = 3
2x2 + x - 3 = 0
(2x + 3)(x - 1) = 0
x = 1 hr. [neglecting the -ve value of x]
| Speed of the first train = |  |
120 |  |
m/sec = 12 m/sec. |
| 10 |
| Speed of the second train = | |
120 | |
m/sec = 8 m/sec. |
| 15 |
Relative speed = (12 + 8) = 20 m/sec.
| Required time = |
 |
(120 + 120) | ![]](/_files/images/aptitude/1-sym-cbracket-h1.gif) |
sec = 12 sec. |
| 20 |
Speed of train relative to man = (60 + 6) km/hr = 66 km/hr.
| = | |
66 x | 5 | m/sec |
| 18 |
| = | |
55 | m/sec. |
| 3 |
| Time taken to pass the man = |
|
110 x | 3 | sec = 6 sec. |
| 55 |
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
What is the speed of the boat in still water? | |
I. | It takes 2 hours to cover the distance between A and B downstream. |
II. | It takes 4 hours to cover the distance between A and B upstream. |
Let AB = x km.
| I. Speed downstream = | x | km/hr |
| 2 |
| II. Speed upstream = | x | km/hr. |
| 4 |
| Speed of boat in still water = | 1 | |
x | + | x | km/hr. |
| 2 | 2 | 4 |
Thus, I and II both even do not give the answer.
Correct answer is (D).
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
An amount of money was lent for 3 years. What will be the difference between the simple and the compound interest earned on it at the same rate? | |
I. | The rate of interest was 8 p.c.p.a. |
II. | The total amount of simple interest was Rs. 1200. |
Given: T = 3 years.
I. gives: R = 8% p.a.
II. gives: S.I. = Rs. 1200.
Thus, P = Rs. 5000, R = 8% p.a. and T = 3 years.
Difference between C.I. and S.I. may be obtained.
So, the correct answer is (E).
What will be compounded amount? | |
I. | Rs. 200 was borrowed for 192 months at 6% compounded annually. |
II. | Rs. 200 was borrowed for 16 years at 6%. |
| I. Amount = Rs. |  |
200 x | |
1 + | 6 | |
16 |  |
| 100 |
| II. Amount = Rs. | |
200 x | |
1 + | 6 | |
16 | |
| 100 |
Thus, I as well as II gives the answer.
Correct answer is (C).
| If log | a | + | log | b | = log (a + b), then: |
| b | a |
| log | a | + log | b | = log (a + b) |
| b | a |
| log (a + b) = log |
|
a | x | b | |
= log 1. |
| b | a |
So, a + b = 1.
log 2 x = 10 x = 210.
logx y = 100
y = x100
y = (210)100 [put value of x]
y = 21000.
Let the length of the wire be h.
| Radius = | 1 | mm | = | 1 | cm. | Then, |
| 2 | 20 |
| |
22 | x | 1 | x | 1 | x h = 66. |
| 7 | 20 | 20 |
| h = |
|
66 x 20 x 20 x 7 | |
= 8400 cm = 84 m. |
| 22 |
Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and
- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.
What is the capacity of a cylindrical tank? | |
I. | Radius of the base is half of its height which is 28 metres. |
II. | Area of the base is 616 sq. metres and its height is 28 metres. |
I gives, h = 28 m and r = 14.
Capacity = 
r2h, which can be obtained.
Thus, I alone gives the answer.
II gives, r2 = 616 m2 and h = 28 m.
Capacity = (r2 x h) = (616 x 28) m3.
Thus, II alone gives the answer.
Correct answer is (C).
| T.D. |
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| = Rs. 400. |
Each number is a composite number except 11.
A x 2 + 1, B x 3 + 1, C x 2 + 1, D x 3 + 1 and so on.
So, 356 is wrong.