387 x 387 + 114 x 114 + 2 x 387 x 114 =? 250001 251001 260101 261001 Given expre

CuriousTab

CuriousTab

Home Aptitude

Discussion

Home ‣ Aptitude ‣ Number System See What Others Are Saying!

Question
387 x 387 + 114 x 114 + 2 x 387 x 114 =?
Options
A. 250001
B. 251001
C. 260101
D. 261001

Correct Answer

251001

Explanation

Given expression = a²+b²+2ab = (a+b)²
where a = 387 and b = 114
= (387 + 114 )²
= (501)²
=(500 +1 )²
=(500)² + (1)²+ 2 x 500 x 1
= 250000 + 1 +1000 = 251001.

More questions

1.
The ratio of the area of square of side a and equilateral triangle of side a is?
Options
A. 2 :1
B. 2 : ?3
C. 4 :3
D. 4 : ?3

2.
(log tan1�. log tan2� ............. log tan50�) is?
Options
A. 0
B. 1
C. 2
D. - 1

3.
The number of all prime numbers less than 40 is ...
Options
A. 15
B. 18
C. 12
D. 17

4.
The areas of two similar ?s are 81 cm ² and 144 cm ². If the largest side of the smaller ? is 27 cm, then the largest side of the larger ? is :
Options
A. 24 cm
B. 48 cm
C. 36 cm
D. 88 cm

5.
A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ?
Options
A. 16
B. 34
C. 14
D. 36

6.
In the following, find the value (s) of P so that the given equation has equal roots 3x² - 5x + P = 0
Options
A. - 25 12
B. 25 6
C. 25 12
D. - 25 6

7.
If (1/5 )^3a = 0.008 Find the value of ( 0.25)^a
Options
A. 20.5
B. 22.5
C. 0.25
D. 6.25

8.
A man gained 10% by selling an article for a certain price. If the sells it at double the price, then the profit made is?
Options
A. 120%
B. 20%
C. 40%
D. 100

9.
A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is?
Options
A. 268 sq. cm
B. 528 sq. cm
C. 462 sq. cm
D. 658 sq. cm

10.
The total number of students in school is 2140. If the number of girls in the school is 1200, then what is the ratio of the total number of boy to the total number of girls in the school?
Options
A. 26 : 25
B. 47 : 60
C. 18 : 13
D. 31 : 79

Comments

More in Aptitude: