Number System-Test 3

Answer: Option C

Explanation

Let the five consecutive number be A=x, B=x+2, C=x+4, D=x+6 and E=x+8

According to the question

⇒ x+(x+2)+(x+4)+(x+6)+(x+8)=130

⇒ 5x+20=130

⇒ 5x=110

⇒ x=22

∴ A=22

E=x+2= 22+8=30

∴ The product of A and E is A×E=22×30=660.

Hence, Option C is correct.

Answer: Option C

Explanation

Let the five consecutive numbers are x,(x+1),(x+2),(x+3),(x+4)

According to the question

⇒ x+(x+1)+(x+2)+(x+3)+(x+4)=170

⇒ 5x+10=170

⇒ x=32

∴The product of largest number is =(x+4)

= 32+4=36

∴ The Required product ⇒ 32×36=1152.

Hence, Option C is correct.

Answer: Option C

Explanation

Let the two consecutive odd numbers  are  (2x+1) and (2x+3)

The difference = (2x+3)²-(2x+1)²

= (2x+3+2x+1)(2x+3-2x-1)

=(4x+4)×2=8(x+1)

= 8x+8=8x+8

∴ The above equation is divisible by '8'

Hence, Option C is correct.

Answer: Option B

Explanation

Let the consecutive odd numbers be x,(x+2),(x+4) and (x+6)

The largest even number= x+11 and the other even numbers =x+7, x+9 and (x+11)

⇒ x+(x+2)+(x+4)+(x+6)-((x+7)+(x+9)+(x+11))=20

⇒ x-15=20

⇒ x=15+20=35

∴ Required sum is =x+(x+7)

= 2x+7=2×35+7=77.

Hence, Option B is correct.

Answer: Option A

Explanation

Let the even consecutive numbers are 2n – 2, 2n, 2n + 2

⇒ (2n – 2)×(2n)×(2n + 2) = 4032   ---Eq(1)

The Product of 1st even number 3rd even number = 252

Substitute this in equation ---Eq(1)

⇒ 252×2n = 4032 ⇒ n = 8

∴ Numbers are 14, 16, 18

∴ Five times of second number is = 5×16=80

Hence, Option A is correct.