Correct Answer: 10.5 cm

Solution : Given: Height($h$) = 21 cm
Let the radius be $r$.
Curved surface area = 1386 cm²
⇒ $1386=2\pi r h$
⇒ $1386=2\times\frac{22}{7}\times21\times r $
⇒ $r=\frac{1386\times 7}{2\times 22\times21}$
⇒ $r = 10.5~\text{cm}$
Hence, the correct answer is 10.5 cm.

Correct Answer: JEOMSC

Solution : Given:
GRANTED is written as HPBLUCE and FRAGMENT is written as GPBENCOR.

Add 1 and subtract 2 alternately from the place value of the letters of GRANTED to obtain the required code –
G + 1 = H, R – 2 = P, A +

Correct Answer: 60

Solution : The given number is 36798.
The divisor is 78.
Divide 36798 by 78 and get the remainder.
Remainder = $\frac{36798}{78}$ → 60
So, the least number to be subtracted from 36798 to get a number exactly divisible by 78 is 60.
Hence, the correct answer

Correct Answer: 2 cm

Solution :

AB = 6 cm, BC = 8 cm
By Pythagoras theorem,
$AC^2=AB^2+BC^2$
$AC = \sqrt{6^2+8^2}$ = $\sqrt{36+64}$ = $\sqrt{100}$ = $10$ cm
$OP = OQ = OR = r$
Since tangents drawn from a point to the circle are equal,
$RB = BP =

Correct Answer: 999956

Solution : LCM of 12, 15, 20, 24, 30 is 120
As we know,
(12 – 8) = (15 – 11) = (20 – 16) = (24 – 20) = (30 – 26) = 4
As we know,
The largest 6-digit number = 999999
⇒ Number divisible

Correct Answer: 44 m

Solution : Firstly, we will draw the diagram as per the given instructions –

Here, A is the starting point and D is the endpoint.
Thus, the distance between the pole and Neha's endpoint is 44 m.

So, Neha is 44 m away from the pole.

Correct Answer: 40.9%

Solution : Let the initial Production be 100.
The production of AB company after 1 year with a 10% increase = 110
The production of AB company after 2 years with a 22% increase = $110+\frac{22}{100}\times 110=134.2$
The production of AB company after 3 years with a

Correct Answer: 13,500

Solution : Number of cars sold in model D = $40,500$
$90^{\circ}$ ⇒ $40,500$
$1^{\circ}$ ⇒ $\frac{40500}{90}$ = $450$
Number of cars sold in model E = $75^{\circ}$
Number of cars sold in model A = $45^{\circ}$
Number of cars sold in model E is more than

Correct Answer: 18 : 972

Solution : Given:
14 : 588

The second term is divided by the first term is equal to one–third of the first term.
Here in, 14 : 588→588 ÷ 14 = 42 = 14 × 3
Let's check the options –
First option: 20 :

Correct Answer: A. P. J. Abdul Kalam

Solution : The correct option is A. P. J. Abdul Kalam.

Dr. A. P. J. Abdul Kalam, popularly known as the Missile Man of India, wrote his autobiography, Wings of Fire (1999). He co-wrote it with Arun Tiwari. The book provides insights into