Explanation

x² − 7x + 12 = 0

Factorize: (x − 3)(x − 4) = 0

So, x = 3 or x = 4

Last verified on 10-05-2026

Explanation

First 30% discount on Rs 500 → 500 − 150 = Rs 350

Then 45% discount on Rs 350 → 350 − 157.5 = Rs 192.5

Last verified on 10-05-2026

Explanation

Father = F, Son = S

Given:

F + S = 72 …(1)

Six years ago:

F − 6 = 2(S − 6) …(2)

Solve (2):

F − 6 = 2S − 12

F = 2S − 6 …(3)

Put in (1):

(2S − 6) + S = 72

3S − 6 = 72

3S = 78

S = 26

Son’s present age = 26

Son’s age 6 years ago = 26 − 6 = 20 years

Last verified on 10-05-2026

Explanation

3x − 7 = 11

3x = 11 + 7

3x = 18

x = 18 ÷ 3 = 6

Last verified on 09-05-2026

Explanation

A’s 1 day work = 1/12

B’s 1 day work = 1/18

Combined work = 1/12 + 1/18

= (3 + 2) / 36 = 5/36

Time taken = 1 ÷ (5/36) = 36/5 = 7.2 days

Last verified on 10-05-2026

Explanation

Make B common in both ratios:

A:B = 2:3 → multiply by 4 → A:B = 8:12

B:C = 4:5 → multiply by 3 → B:C = 12:15

Now combine:

A:B:C = 8:12:15

Last verified on 10-05-2026

Explanation

Let present ages: father = 9k, son = 2k

After 12 years:  

father = 9k + 12  

son = 2k + 12  

Ratio = 3:1

So (9k + 12)/(2k + 12) = 3/1  

9k + 12 = 3(2k + 12)  

9k + 12 = 6k + 36  

9k - 6k = 36 - 12  

3k = 24  

k = 8

Present age of son = 2k = 2 × 8 = 16 years

Last verified on 10-05-2026

Explanation

(x + 1)(x + 2)(x + 3) = 210

Put x = 4 → (5)(6)(7) = 210

So the correct value of x is 4.

Last verified on 10-05-2026

Explanation

3x + 24 = 16

3x = 16 − 24
3x = −8
x = −8 ÷ 3
x = −8/3

Last updated question NS on 09 MAY 2026

Explanation

Let's calculate the final selling price after two successive discounts of 10% and 5% on the marked price of Rs. 2000.

Step 1:

First discount = 10% of 2000 = 0.10 × 2000 = Rs. 200

Price after first discount = 2000 - 200 = Rs. 1800

Step 2:

Second discount = 5% of 1800 = 0.05 × 1800 = Rs. 90

Price after second discount = 1800 - 90 = Rs. 1710

Final selling price = Rs. 1710

Last verified on 09-05-2026