The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:

Byadmin July 18, 2022

Question: The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
[A].

30°

[B].

45°

[C].

60°

[D].

90°

Answer: Option A

Explanation:

Let AB be the tree and AC be its shadow.

Let ACB = .

Then,	AC	=	3 cot = 3
	AB

= 30°.

Aptitude | Simple Interest

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

Question:
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

[A].

5%
[B].
7%
[C].

7 1 %

8

[D].
10%

Answer: Option D

Explanation:

Let the rate be R% p.a.

Then, 5000 x R x 2 + 3000 x R x 4 = 2200.

100 100

100R + 120R = 2200

R = 2200 = 10.

220

Rate = 10%.

Read More A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
Aptitude | Numbers

What is the unit digit in 7105 ?

Question:
What is the unit digit in 7105 ?

[A].

1
[B].
5
[C].
7
[D].
9

Answer: Option C

Explanation:

Unit digit in 7105 = Unit digit in [ (74)26 x 7 ]

But, unit digit in (74)26 = 1

Unit digit in 7105 = (1 x 7) = 7

Read More What is the unit digit in 7105 ?
Compound Interest | Mathematics Mcqs

Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?

Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?

A. Rs.81000
B. Rs.80000
C. Rs.75000
D. Rs.64000
Explanation:
64000* 9/8 * 9/8 = 81000

Read More Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Basic Maths Mcqs | Boats and Streams | Mathematics Mcqs

A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?

A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?

A. 20/6 hours
B. 27/2 hours
C. 30 hours
D. 30/13 hours
Explanation:
Speed downstream = 20 + 6 = 26 kmph.
Time required to cover 60 km downstream = d/s = 60/26 = 30/13 hours.

Read More A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Aptitude | Problems on Numbers

The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

Question: The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
[A].

20
[B].
30
[C].
40
[D].
None of these

Answer: Option A

Explanation:

Let the numbers be a, b and c.

Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.

(a + b + c) = 400 = 20.

Video Explanation: https://youtu.be/qmJ-0X8j_xQ

Read More The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Aptitude | Simple Interest

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
[A].

1 : 3
[B].
1 : 4
[C].
2 : 3
[D].
Data inadequate

Answer: Option C

Explanation:

Let the principal be P and rate of interest be R%.

Required ratio =

P x R x 6

100

= 6PR = 6 = 2 : 3.

P x R x 9

100

9PR 9

Video Explanation: https://youtu.be/GaaEDwTWc6w

Read More What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

Then,		5000 x R x 2		+		3000 x R x 4		= 2200.
		100				100

R =		2200		= 10.
		220

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