Aptitude | Numbers

287 x 287 + 269 x 269 – 2 x 287 x 269 = ?

Byadmin July 18, 2022

Question:
287 x 287 + 269 x 269 – 2 x 287 x 269 = ?

[A].

534

[B].

446

[C].

354

[D].

324

Answer: Option D

Explanation:

Given Exp.	= a2 + b2 – 2ab, where a = 287 and b = 269
	= (a – b)2 = (287 – 269)2
	= (182)
	= 324

Compound Interest | Mathematics Mcqs

A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.

A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.

A. Rs.4000
B. Rs.1000
C. Rs.1250
D. Rs.2000
Explanation:
P(11/10)4 – P(6/5)2 = 482
P = 2000

Read More A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Aptitude | Percentage

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

Question: Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
[A].

Rs. 6876.10
[B].
Rs. 6999.20
[C].
Rs. 6654
[D].
Rs. 7000

Answer: Option A

Explanation:

Rebate = 6% of Rs. 6650 = Rs. 6 x 6650 = Rs. 399.

100

Sales tax = 10% of Rs. (6650 – 399) = Rs. 10 x 6251 = Rs. 625.10

100

Final amount = Rs. (6251 + 625.10) = Rs. 6876.10

Video Explanation: https://youtu.be/XuiggCTh3SU

Read More Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Aptitude | Problems on H.C.F and L.C.M

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

Question:
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

[A].

28
[B].
32
[C].
40
[D].
64

Answer: Option C

Explanation:

Let the numbers be 2x and 3x.

Then, their L.C.M. = 6x.

So, 6x = 48 or x = 8.

The numbers are 16 and 24.

Hence, required sum = (16 + 24) = 40.

Read More The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:
Aptitude | Boats and Streams

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

Question:
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

[A].

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

Answer: Option B

Explanation:

Let man’s rate upstream be x kmph.

Then, his rate downstream = 2x kmph.

(Speed in still water) : (Speed of stream) = 2x + x : 2x – x

2 2

= 3x : x

2 2

= 3 : 1.

Read More A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:
Aptitude | Numbers

When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

Question:
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

[A].

339
[B].
349
[C].
369
[D].
Data inadequate

Answer: Option B

Explanation:

x = 13p + 11 and x = 17q + 9

13p + 11 = 17q + 9

17q – 13p = 2

q = 2 + 13p

17

The least value of p for which q = 2 + 13p is a whole number is p = 26

17

x = (13 x 26 + 11)

= (338 + 11)

= 349

Read More When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
Aptitude | Clock

The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

Question: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
[A].

80°
[B].
75°
[C].
60°
[D].
105°

Answer: Option B

Explanation:

Angle traced by hour hand in 17 hrs = 360 x 17 ° = 255°.

2 12 2

Angle traced by min. hand in 30 min. = 360 x 30 ° = 180°.

60

Required angle = (255 – 180)° = 75°.

Read More The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

Rebate = 6% of Rs. 6650 = Rs.		6	x 6650		= Rs. 399.
		100

Sales tax = 10% of Rs. (6650 – 399) = Rs.		10	x 6251		= Rs. 625.10
		100

(Speed in still water) : (Speed of stream) =		2x + x		:		2x – x
		2				2

q =	2 + 13p
	17

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