Jawahar Navodaya Examination Preparation 2026

  📖 Passage 4 To be fit and healthy, you need to be physically active. Regular physical activity protects you from serious diseases such as obesity, heart disease, cancer, mental illness, diabetes and arthritis. Riding a bicycle regularly is one of the best ways to reduce your risk of health problems associated with a sedentary lifestyle. Cycling is a healthy, low-impact exercise that can be enjoyed by people of all ages, from young children to older adults. It is also fun, cheap and good for the environment. Riding to work or the shop is one of the most time-efficient ways to combine regular exercise with everyday routine. An estimated one billion people ride bicycles every day for transport, recreation and sport. Cycling is a good way to reduce weight as it builds muscle and burns body fat. Research suggests that by cycling for half an hour every day, we can shed at least five kilos of weight in a year. 📝 Questions & Answers (76–80) Q76: The main focus of the passag...

  📖 Passage 3 Hema lay on her bed staring at the stars stuck on the ceiling of her room. She was upset as none of the clothes seemed to fit her. She wore them again one by one but they were either too tight or too short. A cupboard full of clothes and she could not wear any of them. She then had a bright idea, her eyes lit up and she ran to her mother’s room. “Ma, I need new clothes,” she said, “but only after I donate all my old clothes to charity. No more amassing of clothes.” Her mother smiled and hugged her. She did have a kind daughter! 📝 Questions & Answers (71–75) Q71: Hema lay on her bed because she Options: (a) was tired (b) liked looking at the stars (c) was wondering what to wear (d) was a lazy girl ✅ Answer: (c) was wondering what to wear Reason: The passage says she was upset because none of the clothes seemed to fit her . She lay thinking about her clothes. Q72: She could not wear any of her clothes because Options: (a) they were not fashionabl...

  📖 Passage 2 Fire is to blame for the loss of countless lives and billions of rupees each and every year. Firefighters help protect people and their property from injury and damage. They put their lives on the line every time they respond to a call. While on duty, firefighters must be ready to respond in a matter of minutes to just about any disaster that may occur. At every fire scene, a superior fire officer takes command and directs the jobs of all the people at the scene. Some firemen connect the hose lines to hydrants. Others manually operate the pumps to send water to the hoses. Teams of firefighters also operate ladders used to reach distances high in the air. 📝 Questions & Answers (66–70) Q66: Which is not true about the firefighters? Options: (a) They are brave (b) They often put their lives in danger (c) They never put their lives in danger (d) They are highly trained ✅ Answer: (c) They never put their lives in danger Reason: The passage says they put ...

  📖 Passage 1 Travelling is both recreational and educative. It has always been regarded as an important part of education. In Europe, a young man is considered fully educated only when he has travelled through many countries of Europe. In ancient India also, our sages understood the great value of travelling. They made it a pious duty to visit various pilgrim centres situated in different parts of India. This encouraged the feeling of oneness among Indians. 📝 Questions & Answers (61–65) Q61: It is important to ............ if one wants to get real education. Options: (a) study (b) work (c) travel (d) meditate ✅ Answer: (c) travel Reason: The passage emphasizes that a young man is fully educated only after travelling . Q62: Which one of the following words is a synonym of ‘‘recreational’’? Options: (a) educational (b) thrilling (c) tiring (d) sight-seeing ✅ Answer: (b) thrilling Reason: “Recreational” means enjoyable or for pleasure . Thrilling is the clo...

  Question 60: Multiply by 0.01 Q60: 140.75 × 0.01 = ? 140.75 \times 0.01 = ? 140.75 × 0.01 = ? Options: (a) 140.75 (b) 14000.75 (c) 1.4075 (d) 0.14075 📝 Step 1: Understand multiplication by 0.01 Multiplying by 0.01 is the same as dividing by 100 . 140.75 × 0.01 = 140.75 100 140.75 \times 0.01 = \frac{140.75}{100} 140.75 × 0.01 = 100 140.75 ​ 📝 Step 2: Move the decimal Decimal moves 2 places to the left (because 0.01 = 1/100): 140.75 → 1.4075 140.75 \rightarrow 1.4075 140.75 → 1.4075 ✅ Step 3: Answer Answer: (c) 1.4075 ✅ 💡 Quick Tip Multiplying by 0.1 → move decimal 1 place left Multiplying by 0.01 → move decimal 2 places left Multiplying by 0.001 → move decimal 3 places left

  💰 Question 59: Simple Interest Problem Q59: In how many years does a sum of ₹1200 become ₹1800 at a simple interest rate of 5% per annum ? Options: (a) 10 years (b) 20 years (c) 15 years 📝 Step 1: Recall the simple interest formula Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) 100 \text{Simple Interest (SI)} = \frac{\text{Principal (P)} \times \text{Rate (R)} \times \text{Time (T)}}{100} Simple Interest (SI) = 100 Principal (P) × Rate (R) × Time (T) ​ We are given: Principal P = 1200 P = 1200 P = 1200 Final Amount A = 1800 A = 1800 A = 1800 Rate R = 5 % R = 5\% R = 5% per annum 📝 Step 2: Find the simple interest SI = Amount − Principal = 1800 − 1200 = 600 \text{SI} = \text{Amount} - \text{Principal} = 1800 - 1200 = 600 SI = Amount − Principal = 1800 − 1200 = 600 ✅ So, the interest earned = ₹600 📝 Step 3: Use SI formula to find time S I = P × R × T 100 SI = \frac{P \times R \times T}{...

  🔢 Question 58: Prime Factorization of 640 Q58: Find the prime factorization of 640 . Options: (a) 2 × 2 × 2 × 2 × 2 × 5 (b) 2 × 2 × 2 × 2 × 2 × 2 × 5 (c) 2 × 2 × 2 × 2 × 2 × 5 × 5 (d) 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 📝 Step 1: Start dividing by the smallest prime (2) We know 640 is even , so divide by 2 repeatedly until we cannot: 640 ÷ 2 = 320 ✅ 320 ÷ 2 = 160 ✅ 160 ÷ 2 = 80 ✅ 80 ÷ 2 = 40 ✅ 40 ÷ 2 = 20 ✅ 20 ÷ 2 = 10 ✅ 10 ÷ 2 = 5 ✅ Now we are left with 5 , which is a prime number. 📝 Step 2: Write all prime factors We divided by 2 seven times , and then we have 5 left. 640 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 640 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 640 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 ✅ Or in exponent form: 640 = 2 7 × 5 640 = 2^7 × 5 640 = 2 7 × 5 ✅ Step 3: Match with the options The correct answer is: (d) 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 ✅ 💡 Quick Tip for Prime Factorization Start dividing by the smallest prime (2, then 3, 5, 7…) Keep div...

  ⏰ Question 57: Finding the Start Time Q57: We reached our destination at 2:45 pm after travelling for 4 ½ hours . When did we start? Options: (a) 9:00 am (b) 10:00 am (c) 10:15 am (d) 8:15 am 📝 Step 1: Understand the problem We know: End time (destination time) = 2:45 pm Travel time = 4½ hours = 4 hours 30 minutes We need to find the start time . 💡 Tip: To find the start time, subtract the travel time from the arrival time . 📝 Step 2: Convert mixed fraction to hours and minutes 4 1 2  hours = 4  hours  30  minutes 4 \frac{1}{2} \text{ hours} = 4 \text{ hours } 30 \text{ minutes} 4 2 1 ​  hours = 4  hours  30  minutes 📝 Step 3: Subtract hours first End time: 2:45 pm Subtract 4 hours: 2 : 45 − 4 : 00 = 10 : 45 a m 2:45 - 4:00 = 10:45 am 2 : 45 − 4 : 00 = 10 : 45 am 📝 Step 4: Subtract minutes Now subtract 30 minutes: 10 : 45 − 0 : 30 = 10 : 15 a m 10:45 - 0:30 = 10:15 am 10 : 45 − 0 : 30 = 10 : 15 am ...

  🧱 Question 56: How Many Bricks Are Needed? Q56: How many bricks will be required for a wall 8 m long, 6 m high, and 22.5 cm thick , if each brick measures 25 cm × 11.25 cm × 6 cm ? Options: (a) 640 (b) 1380 (c) 6400 (d) 7600 📝 Step 1: Convert all dimensions to the same unit We have: Wall: 8 m × 6 m × 22.5 cm Brick: 25 cm × 11.25 cm × 6 cm Tip: Always use the same unit . Let’s use cm : 1  m = 100  cm 1 \text{ m} = 100 \text{ cm} 1  m = 100  cm Wall dimensions in cm: Length = 8 × 100 = 800 cm Height = 6 × 100 = 600 cm Thickness = 22.5 cm (already in cm) 📝 Step 2: Find the volume of the wall Volume of wall = length × height × thickness \text{Volume of wall} = \text{length} \times \text{height} \times \text{thickness} Volume of wall = length × height × thickness V wall = 800 × 600 × 22.5 V_\text{wall} = 800 \times 600 \times 22.5 V wall ​ = 800 × 600 × 22.5 Step by step: 800 × 600 = 480,000 480,000...

Q: A square and a rectangle have the same perimeter . If the side of the square is 16 m and the length of the rectangle is 18 m , find the breadth of the rectangle . Options: (a) 14 m (b) 15 m (c) 16 m (d) 17 m 📝 Step-by-Step Solution Step 1: Understand the problem We have: Square side = 16 m Rectangle length = 18 m Both shapes have the same perimeter Find rectangle breadth Step 2: Recall formulas Perimeter of a square = 4 × side Perimeter of a rectangle = 2 × (length + breadth) 💡 Tip: Perimeter = total distance around the shape. Step 3: Find the square's perimeter P square = 4 × 16 = 64  m P_\text{square} = 4 \times 16 = 64 \text{ m} P square ​ = 4 × 16 = 64  m Step 4: Set up the rectangle’s perimeter P rectangle = 2 × ( length + breadth ) P_\text{rectangle} = 2 \times (\text{length} + \text{breadth}) P rectangle ​ = 2 × ( length + breadth ) Since both perimeters are equal: 2 × ( 18 + breadth ) = 64 2 \times (18 + \text{brea...

  Question: Amit bought a table for ₹1200 and spent ₹200 on its repair. He sold it for ₹1680. What is his profit or loss percentage? Options: (a) 12% profit (b) 16 ⅔% profit (c) 20% loss (d) 20% profit Step 1: Find the Total Cost Price (CP) The total cost price includes the price of the table plus repair cost : Total CP = 1200 + 200 = 1400 \text{Total CP} = 1200 + 200 = 1400 Total CP = 1200 + 200 = 1400 Step 2: Find the Selling Price (SP) SP = 1680 \text{SP} = 1680 SP = 1680 Step 3: Determine Profit or Loss Profit = S P − C P = 1680 − 1400 = 280 \text{Profit} = SP - CP = 1680 - 1400 = 280 Profit = SP − CP = 1680 − 1400 = 280 Since SP > CP, Amit made a profit . Step 4: Calculate Profit Percentage Profit % = Profit CP × 100 = 280 1400 × 100 = 20 % \text{Profit \%} = \frac{\text{Profit}}{\text{CP}} \times 100 = \frac{280}{1400} \times 100 = 20\% Profit % = CP Profit ​ × 100 = 1400 280 ​ × 100 = 20% ✅ Answer: (d) 20% profit Fast Calculation T...

  Question: One-fourth of birds of a flock are at a river bank and one-fifth of that flock are in their nest. The remaining 22 birds are wandering in search of food. What is the number of birds in their nest? Options: (a) 40 (b) 18 (c) 10 (d) 8 Step 1: Let’s Assign a Variable Let the total number of birds in the flock be x x x . Birds at river bank = 1 4 x \frac{1}{4}x 4 1 ​ x Birds in nest = 1 5 x \frac{1}{5}x 5 1 ​ x Birds wandering = 22 We know that all birds together = birds at river + birds in nest + wandering birds: 1 4 x + 1 5 x + 22 = x \frac{1}{4}x + \frac{1}{5}x + 22 = x 4 1 ​ x + 5 1 ​ x + 22 = x Step 2: Solve the Equation Combine fractions: 1 4 x + 1 5 x = 5 + 4 20 x = 9 20 x \frac{1}{4}x + \frac{1}{5}x = \frac{5 + 4}{20}x = \frac{9}{20}x 4 1 ​ x + 5 1 ​ x = 20 5 + 4 ​ x = 20 9 ​ x So the equation becomes: 9 20 x + 22 = x \frac{9}{20}x + 22 = x 20 9 ​ x + 22 = x Subtract 9 20 x \frac{9}{20}x 20 9 ​ x from both sides: 22 = x − 9 20 x = 11 20...