Explanation

Total balls = 4 red + 5 blue + 6 green = 15 balls

Ways to draw 2 balls from 15 = C(15,2) = 15×14/2 = 105  

Ways to draw 2 green from 6 = C(6,2) = 6×5/2 = 15

Probability both green = 15/105 = 1/7

Last verified on 13-06-2026

Explanation

For an A.P., nth term = a + (n-1)d, where a = first term, d = common difference

Given:  

a5 = a + 4d = 18  

a15 = a + 14d = 58  

Subtract: 10d = 40 → d = 4  

Put d=4 in a + 4d = 18 → a + 16 = 18 → a = 2

Sum of first n terms = n/2 [2a + (n-1)d]  

S25 = 25/2 [2×2 + 24×4]  

= 25/2 [4 + 96]  

= 25/2 × 100 = 25 × 50 = 1250

Last verified on 13-06-2026

Explanation

Let salary = Rs. S

Total spent = 1/3 + 1/5 + 1/6  

LCM of 3,5,6 = 30  

= 10/30 + 6/30 + 5/30 = 21/30 = 7/10

Money left = 1 - 7/10 = 3/10 of salary

3/10 × S = 600  

S = 600 × 10/3 = Rs. 2000

Last verified on 13-06-2026

Explanation

Sum of angles in a triangle = 180°  

Ratio = 2 : 3 : 4 → total parts = 2 + 3 + 4 = 9

Smallest angle = 2/9 × 180° = 40°  

Other angles = 3/9 × 180° = 60°, 4/9 × 180° = 80°

Last verified on 13-06-2026

Explanation

When diagonals intersect at right angles, area of parallelogram = ½ × d1 × d2

Here d1 = 12 cm, d2 = 16 cm  

Area = ½ × 12 × 16 = 6 × 16 = 96 cm²

Last verified on 13-06-2026

Explanation

Assuming you mean 1/(x+2) + 1/(x+3) = 16

[(x+3)+(x+2)] / [(x+2)(x+3)] = 16  

(2x+5) / (x^2+5x+6) = 16  

Cross multiply: 2x+5 = 16x^2+80x+96  

0 = 16x^2+78x+91  

Using quadratic formula: x = [-78 +- sqrt(260)]/32  

x = [-39 +- sqrt(65)]/16  

x ≈ -1.93 or x ≈ -2.94  

x cannot be -2 or -3

If you meant x+2 + x+3 = 16, then 2x+5=16 → x=5.5

Last verified on 13-06-2026

Explanation

Let cost price = ₹100

1. Marked 40% above CP → Marked price = 100 + 40 = ₹140  

2. Discount 20% on MP → Selling price = 80% of 140 = 0.8 × 140 = ₹112

Profit = SP - CP = 112 - 100 = ₹12  

Profit % = 12/100 × 100 = 12%

Last verified on 13-06-2026

Explanation

Formula: Angle = |30H - 5.5M|  

Where H = hour, M = minutes

At 3:15: H = 3, M = 15

Angle = |30×3 - 5.5×15|  

= |90 - 82.5|  

= 7.5°

Last verified on 13-06-2026

Explanation

Reasoning:  

1. A is brother of B → A and B are siblings  

2. B is sister of C → B and C are siblings  

So A, B, C are all siblings.

3. C is mother of D → C is D’s mom

Since A is the brother of D’s mom C, A is D’s maternal uncle.

Last verified on 13-06-2026

Explanation

Premises:  

1. All engineers are intelligent → Engineers are a small circle inside the bigger "Intelligent" circle  

2. Some intelligent people are not doctors → There’s a part of "Intelligent" that’s outside "Doctors"

Conclusion I: Some engineers are not doctors  

Not necessarily. The "intelligent people who are not doctors" could all be artists, teachers, etc. Engineers might still all be doctors. So I doesn’t follow.

Conclusion II: All doctors are intelligent 

No info given about doctors. Some intelligent people aren’t doctors, but that says nothing about doctors being intelligent or not. So II doesn’t follow.

So from your options: Neither follows

Last verified on 13-06-2026