Assertion (A): In ΔABC and ΔPQR, if ∠BAC = ∠QPR and ∠ABC = ∠PQR, then ΔABC ~ ΔPQR

Statement 2: ΔABC ~ ΔPQR by SSS axiom

1. (A) is true, (R) is false.

2. (A) is false, (R) is true.

3. Both (A) and (R) are true, and (R) is the correct reason for (A).

4. Both (A) and (R) are true, and (R) is the incorrect reason for (A).

The ratio of diameters of two right circular cones is 3 : 7 and that of their heights is 14 : 9, then their volumes are in ratio:

1. 3 : 7

2. 2 : 7

3. 3 : 2

4. 9 : 49

The GST of an article is reduced from 12% to 5% and due to this, the price paid for the article is cut down by ₹ 14. The original price of the article is:

1. ₹ 50

2. ₹ 98

3. ₹ 100

4. ₹ 200

The mean of 1², 2², 3³ and 4⁴ is:

1. 24

2. 72

3. 144

4. 264