Explanation

Given:

• $x+y=16$
• $x-y=3$

Using the identity:

x2−y2=(x+y)(x−y)
$$=16\times 3$$

=48

Last updated 27-07-2026 by NA
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Explanation

First 4 multiples of 5 = 5, 10, 15, 20
Sum = 5 + 10 + 15 + 20

= 50

Last updated 27-07-2026 by NA

Explanation

First, find HCF of 48 and 80:

48 = 2⁴ × 3
80 = 2⁴ × 5

So, HCF = 16

Therefore:

48P − 80 = 16
48P = 96
P = 2

Last updated 27-07-2026 by NA

Explanation

The series is:

2×1^2+4×2^2+6×3^2+⋯

The 10th term is:

2n×n2^=2n^3

For $n=10$:

2(10)^3

$$=2\times 1000$$

=2000

Last updated 26-07-2026 by NA
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Explanation

Average = Sum of numbers ÷ Number of numbers

5=2+7+9+10+x/5​
25=28+x
$$x=25-28$$

$$=-3$$

$$Last\; updated\; 25-07-2026\; by\; NA$$

Explanation

√4x-3=4

Squaring both sides:

4x−3=16
$$4x=19$$x=19​/4=4.75

$$Last\; updated\; 25-07-2026\; by\; NA$$

Explanation

Given:

• Distance = 300 km
• Speed of first train = 60 km/h
• Speed of second train = 90 km/h

Since they are moving toward each other, their relative speed is:

$$60+90=150\text{km/h}$$

Time:

300​/150=2 hours

Last updated 25-07-2026 by NA

Explanation

The pattern alternates between +2 and ×2:

• 4 → 6 (+2)
• 6 → 12 (×2)
• 12 → 14 (+2)
• 14 → 28 (×2)
• 28 → 30 (+2)
• 30 → 60 (×2)

Last updated 17 july 2026 by NA

Explanation

Analytical Seating Arrangement; A, B, C, D, E, F, G, and H are sitting around a circle facing the centre. A sits fourth to the right of H. A sits second to the left of F. C is not a neighbour of F or B. D sits third to the right of C. H does not sit next to G.

1. Who sits between B and D? F

2. Which pair sits between H and G? C and E

3. Which pair does not belong to the group: AE, HF, BD, GE? BD

4. Who is immediately right of A? D

5. Who sits second to the right of B? 4

6. What is the position of B with respect to C? Second to the right

Verified & Updated

Explanation

15 men × 20 days = 300 man-days (total work)

Now, with 25 men:

300 man-days ÷ 25 men = 12 days

Verified & Updated