Innovation Base Quiz
Winners of the previous Quiz
22/08/2025
Rohan gowda M.R
Class 9
Mother Teresa international school 🏫
Dhruv Anoop Menon
Class 7
Sishu Griha Senior School
Saachi Ravi Bhagwat
Class 7
National Public School, Kengeri
Vaibhav Choudri
Class 7
SISHUGRIHA MONT & SENIOR SCHOOL
Husna
Class 10
Sri shardha English high school
Lakshmi
Class 9
Sri Vasavi Vidya samsthe sira
Abha MANJUNATH
Class 7
Vidya Jyothi School
Prathiksha. M
Class 10
Sri sharada English School Sidlaghatta
Bhanu
Class 9
DDPS
Tejaswani Panchal
Class 8
NPS KENGERI
Note: Quiz prizes will be awarded to ten randomly selected students who submit correct answers before the deadline. Winners will be declared on the website and the weekly newsletter.
August 22, 2025
Q1.
Scientists at a Defence Organisation are monitoring three nearby mountain slopes for avalanche risk using:
Sentinel-3 satellite images (Snow Cover Area – SCA)
UAV surveys for Snow Depth (SD, m).
The decision is to identify which slope is safest for troop movement on Day 4.
Scientists at a Defence Organisation are monitoring three nearby mountain slopes for avalanche risk using:
Sentinel-3 satellite images (Snow Cover Area – SCA)
UAV surveys for Snow Depth (SD, m).
The decision is to identify which slope is safest for troop movement on Day 4.
Key Exercise Assumptions
-
SCA = snow cover area in km² (satellite).
-
SD = snow depth in metres (UAV).
-
Danger increases when both SCA and SD rise together between days.
Key Exercise Assumptions
-
SCA = snow cover area in km² (satellite).
-
SD = snow depth in metres (UAV).
-
Danger increases when both SCA and SD rise together between days.
Alert rule (for this exercise):
An alert is triggered only if, in 24 hours:
-
Snow depth (SD): an increase of ≥ 0.4 m within 24 hours.
And
-
Snow cover area (SCA): an increase of ≥ 10% within 24 hours.
Alert rule (for this exercise):
An alert is triggered only if, in 24 hours:
-
Snow depth (SD): an increase of ≥ 0.4 m within 24 hours.
And
-
Snow cover area (SCA): an increase of ≥ 10% within 24 hours.
Data collected (Day 1 → Day 3)
Snow Cover Area (SCA, km²)
| Slope | Day 1 | Day 2 | Day 3 |
| A | 1,200 | 1,379 | 1,530 |
| B | 1,050 | 1,159 | 1,270 |
| C | 1,500 | 1,724 | 1,884 |
Snow Depth (SD, m)
| Slope | Day 1 | Day 2 | Day 3 |
| A | 1.50 | 1.89 | 2.30 |
| B | 1.60 | 2.00 | 2.33 |
| C | 1.80 | 2.19 | 2.35 |
Slope angle (°)
-
A = 37°
-
B = 28°
-
C = 33°
Slope angle (°)
-
A = 37°
-
B = 28°
-
C = 33°
Tie-break rules
-
For each slope, calculate a Safety Score by counting the number of intervals where both the SCA (Snow Cover Area) and SD (Snow Depth) values increased simultaneously.
-
If tied, compare difference between the Day-3 SD values is 0.05 m or less, their safety outcomes are to be treated as equivalent.
-
If still tied, choose the slope with the smallest Day-3 SCA × slope angle (teaching assumption — favours less snow cover and gentler slopes).
Tie-break rules
-
For each slope, calculate a Safety Score by counting the number of intervals where both the SCA (Snow Cover Area) and SD (Snow Depth) values increased simultaneously.
-
If tied, compare difference between the Day-3 SD values is 0.05 m or less, their safety outcomes are to be treated as equivalent.
-
If still tied, choose the slope with the smallest Day-3 SCA × slope angle (teaching assumption — favours less snow cover and gentler slopes).
Question:
Based on the above rules, determine which slope would be the safest choice for the army on Day 4.
Question:
Based on the above rules, determine which slope would be the safest choice for the army on Day 4.
Q2.
Scientists from a Defence Organisation are monitoring avalanche-prone regions in the North-West Himalayas using Sentinel-3 satellite imagery and UAV surveys. For one sector, the following predictions have been made for three consecutive winter days:
-
Snow Cover Area (SCA): derived from satellite images, measured in km².
-
Snow Depth (SD): measured through UAV surveys, recorded in metres.
Scientists from a Defence Organisation are monitoring avalanche-prone regions in the North-West Himalayas using Sentinel-3 satellite imagery and UAV surveys. For one sector, the following predictions have been made for three consecutive winter days:
-
Snow Cover Area (SCA): derived from satellite images, measured in km².
-
Snow Depth (SD): measured through UAV surveys, recorded in metres.
Key Facts:
-
SCA is measured from satellite images.
-
Snow depth is measured from UAV surveys.
-
Avalanche danger rises sharply when both SCA and snow depth increase significantly within a short time.
-
Alert Level is triggered when: Snow depth increase over 24 hours ≥ 0.4 m and SCA increase over 24 hours ≥ 15%
Key Facts:
-
SCA is measured from satellite images.
-
Snow depth is measured from UAV surveys.
-
Avalanche danger rises sharply when both SCA and snow depth increase significantly within a short time.
-
Alert Level is triggered when: Snow depth increase over 24 hours ≥ 0.4 m and SCA increase over 24 hours ≥ 15%
Data Collected:
| Day | SCA (km²) | Snow Depth (m) |
| 1 | 1,200 | 1.5 |
| 2 | 1,380 | 1.9 |
| 3 | 1,500 | 2.1 |
Tasks:
Based on the rules above, identify the day(s) on which the Alert Level should be triggered.
Tasks:
Based on the rules above, identify the day(s) on which the Alert Level should be triggered.
Note:
1. Case 1 – SCA percentage increase threshold without wind: 15%
2. Case 2 – SCA percentage increase threshold with wind: 10%
Note:
1. Case 1 – SCA percentage increase threshold without wind: 15%
2. Case 2 – SCA percentage increase threshold with wind: 10%
Question: Which option would give reliable alert-level data, unaffected by wind, so the army can clearly assess the situation?
August 15, 2025
Q1.
Martin, a cricket coach, is designing a high-performance bowling machine for his students to prepare for a tournament. The machine uses two motors rotating at 4000 RPM, delivering balls at a maximum speed of 140 km/h. The tilting mechanism adjusts the delivery angle, which affects the length of the ball. The ball speed is directly proportional to the average RPM of the two motors, while the tilt determines the length.
How the Machine Works:
-Both motors rotating at the same speed in opposite direction: The ball travels fast and straight, without spin or swing.
-One motor faster than the other: The ball spins towards the direction of the faster motor.
Tilting Mechanism:
-0 degrees tilt: Yorker
-10 to 20 degrees tilt: Full-length ball
-20 to 35 degrees tilt: Good-length ball
-Beyond 35 degrees tilt: Short-length delivery
Martin, a cricket coach, is designing a high-performance bowling machine for his students to prepare for a tournament. The machine uses two motors rotating at 4000 RPM, delivering balls at a maximum speed of 140 km/h. The tilting mechanism adjusts the delivery angle, which affects the length of the ball. The ball speed is directly proportional to the average RPM of the two motors, while the tilt determines the length.
How the Machine Works:
-Both motors rotating at the same speed in opposite direction: The ball travels fast and straight, without spin or swing.
-One motor faster than the other: The ball spins towards the direction of the faster motor.
Tilting Mechanism:
-0 degrees tilt: Yorker
-10 to 20 degrees tilt: Full-length ball
-20 to 35 degrees tilt: Good-length ball
-Beyond 35 degrees tilt: Short-length delivery
Ball Speed Calculation:
Refer "referance image' for the formula.
Ball speed (V) is proportional to the average RPM of the two motors.
Hint: Calculate the value of K based on the information given.
Question
If the left motor rotates at 3600 RPM and the right motor at 4000 RPM, with a tilt of 26 degrees, identify the image that best represents the ball trajectory.
Q2.
Martin, the cricket coach, is designing a bowling machine to help his students prepare for the upcoming tournament. The machine uses two motors that rotate at 4000 RPM, delivering balls at a maximum speed of 140 km/h. It also features a tilting mechanism that adjusts the delivery angle, altering the ball's length.
How the Machine Works:
- Both motors rotating at the same speed in opposite direction: The ball travels fast and straight, without spin or swing.
- One motor rotating faster than the other: The ball spins towards the direction of the faster motor.
- Tilting Mechanism:
- 0 degrees tilt: Yorker (ball lands close to the batter, challenging them to play with precision).
- 10 to 20 degrees tilt: Full-length ball (ideal for defensive shots, pitched up to the batter).
- 20 to 35 degrees tilt: Good-length ball (challenging for both defensive and attacking play, pitched just short of a full-length ball).
- Beyond 35 degrees tilt: Short-length delivery (suited for pull shots or defending, often rising to the batter's head or chest height).
Martin, the cricket coach, is designing a bowling machine to help his students prepare for the upcoming tournament. The machine uses two motors that rotate at 4000 RPM, delivering balls at a maximum speed of 140 km/h. It also features a tilting mechanism that adjusts the delivery angle, altering the ball's length.
How the Machine Works:
- Both motors rotating at the same speed in opposite direction: The ball travels fast and straight, without spin or swing.
- One motor rotating faster than the other: The ball spins towards the direction of the faster motor.
- Tilting Mechanism:
- 0 degrees tilt: Yorker (ball lands close to the batter, challenging them to play with precision).
- 10 to 20 degrees tilt: Full-length ball (ideal for defensive shots, pitched up to the batter).
- 20 to 35 degrees tilt: Good-length ball (challenging for both defensive and attacking play, pitched just short of a full-length ball).
- Beyond 35 degrees tilt: Short-length delivery (suited for pull shots or defending, often rising to the batter's head or chest height).
Question
Examine the ball trajectory in the reference image 2 and choose the correct option to achieve this delivery.
