Aptitude | Logarithm

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

Byadmin July 18, 2022

Question:
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

[A].

2.870

[B].

2.967

[C].

3.876

[D].

3.912

Answer: Option C

Explanation:

log5 512

=	log 512
	log 5

=	log 29
	log (10/2)

=	9 log 2
	log 10 – log 2

=	(9 x 0.3010)
	1 – 0.3010

=	2.709
	0.699

=	2709
	699

= 3.876

Aptitude | Problems On Trains

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

Question:
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

[A].

36
[B].
45
[C].
48
[D].
49

Answer: Option C

Explanation:

Relative speed = (60+ 90) km/hr

= 150 x 5 m/sec

18

= 125 m/sec.

3

Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

Required time = 2000 x 3 sec = 48 sec.

125

Read More Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Basic Maths Mcqs | Boats and Streams | Mathematics Mcqs

If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph. then the man’s rate along the current is__________?

If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph. then the man’s rate along the current is__________?

A. 4.25 kmph
B. 6 kmph
C. 6.5 kmph
D. 8.5 kmph

Read More If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph. then the man’s rate along the current is__________?
Aptitude | Simplification

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

Question:
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

[A].

Rs. 3500
[B].
Rs. 3750
[C].
Rs. 3840
[D].
Rs. 3900

Answer: Option D

Explanation:

Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.

Then, 10x = 4y   or   y = 5 x.

2

15x + 2y = 4000

15x + 2 x 5 x = 4000

2

20x = 4000

x = 200.

So, y = 5 x 200 = 500.

2

Hence, the cost of 12 chairs and 3 tables = 12x + 3y

    = Rs. (2400 + 1500)

    = Rs. 3900.

Read More The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
Aptitude | Numbers

397 x 397 + 104 x 104 + 2 x 397 x 104 = ?

Question:
397 x 397 + 104 x 104 + 2 x 397 x 104 = ?

[A].

250001
[B].
251001
[C].
260101
[D].
261001

Answer: Option B

Explanation:

Given Exp. = (397)2 + (104)2 + 2 x 397 x 104

= (397 + 104)2

= (501)2 = (500 + 1)2

= (5002) + (1)2 + (2 x 500 x 1)

= 250000 + 1 + 1000

= 251001

Read More 397 x 397 + 104 x 104 + 2 x 397 x 104 = ?
Aptitude | Percentage

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

[A].

2700
[B].
2900
[C].
3000
[D].
3100

Answer: Option A

Explanation:

Number of valid votes = 80% of 7500 = 6000.

Valid votes polled by other candidate = 45% of 6000

= 45 x 6000 = 2700.

100

Read More In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
Aptitude | Percentage

Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

Question: Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

[A].

Rs. 15
[B].
Rs. 15.70
[C].
Rs. 19.70
[D].
Rs. 20

Answer: Option C

Explanation:

Let the amount taxable purchases be Rs. x.

Then, 6% of x = 30

100

x = 30 x 100 = 5.

100 6

Cost of tax free items = Rs. [25 – (5 + 0.30)] = Rs. 19.70

Read More Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

=		150 x	5	m/sec
			18

=		125	m/sec.
		3

Required time =		2000 x	3	sec = 48 sec.
			125

Then, 10x = 4y or y =	5	x.
	2

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