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

Explanation

"All roses are flowers" → Every rose is inside the "flowers" circle. So some flowers = roses is definitely true.

"Some flowers fade quickly" → Only tells us about _some_ flowers, not all. We don’t know if those fading flowers are roses or not.

So: "Some flowers are roses" → Must be true, because all roses are flowers.

Last verified on 13-06-2026

Explanation

Area of rhombus = ½ × d₁ × d₂  

Where d₁ and d₂ are the diagonals

Given: d₁ = 12 cm, d₂ = 16 cm

Area = ½ × 12 × 16  

= ½ × 192  

= 96

So area = 96 cm².

Last verified on 13-06-2026

Explanation

• The Mahabharata contains 18 Parvas (books/sections).
• It is one of the two major Sanskrit epics of Hindu tradition.
• It describes the Kurukshetra war and teachings of Dharma.
• It includes the Bhagavad Gita in Bhishma Parva.
• It is attributed to sage Vyasa.

Last verified on 13-06-2026