Class 10 Board Examination — Mathematics Multiple Choice Questions (MCQs)

1. The HCF of 26 and 91 is: (a) 7 (b) 13 (c) 17 (d) 26

2. The number of zeroes of the polynomial p(x) whose graph is shown, touching the x-axis at two points and crossing it at one point, is: (a) 1 (b) 2 (c) 3 (d) 4

3. If the pair of linear equations 2x + 3y = 7 and 4x + 6y = 14 has: (a) No solution (b) A unique solution (c) Exactly two solutions (d) Infinitely many solutions

4. The roots of the quadratic equation x² − 5x + 6 = 0 are: (a) 2 and 3 (b) −2 and −3 (c) 1 and 6 (d) −1 and −6

5. The 10th term of the AP: 3, 7, 11, 15, ... is: (a) 39 (b) 40 (c) 43 (d) 45

6. The distance between the points A(2, 3) and B(−1, −1) is: (a) 3 (b) 4 (c) 5 (d) 6

7. In △ABC, DE ∥ BC, AD = 4 cm, DB = 6 cm and AE = 3 cm. The value of EC is: (a) 3.5 cm (b) 4 cm (c) 4.5 cm (d) 5 cm

8. The value of sin 60° × cos 30° − cos 60° × sin 30° is: (a) 0 (b) 1/2 (c) √3/2 (d) 1

9. A circle has a diameter of 14 cm. Its area is: (a) 144 cm² (b) 154 cm² (c) 176 cm² (d) 196 cm²

10. A bag contains 5 red balls and 3 blue balls. A ball is drawn at random. The probability of drawing a blue ball is: (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/3

Answers:

  1. (b) 13
  2. (c) 3
  3. (d) Infinitely many solutions
  4. (a) 2 and 3
  5. (a) 39
  6. (c) 5
  7. (c) 4.5 cm
  8. (b) 1/2
  9. (b) 154 cm²
  10. (c) 3/8

Comments

Post a Comment

Popular posts from this blog

7 Common Causes of Joint Pain in Seniors

Image
  7 Common Causes of Joint Pain in Seniors (Senior Joint Pain Causes) As people grow older, joint pain in seniors becomes a common health concern. Many older adults experience stiffness, swelling, or discomfort in the knees, hips, shoulders, and hands. Understanding the common causes of joint pain in seniors can help people take early steps to protect their joints and maintain an active lifestyle. In many cases, simple lifestyle changes and proper care can reduce pain and improve mobility. 1. Osteoarthritis – A Major Cause of Joint Pain in Seniors One of the most common causes of joint pain in seniors is Osteoarthritis . This condition occurs when the protective cartilage that cushions the joints gradually wears down over time. When cartilage becomes thin, bones may rub against each other, leading to pain, stiffness, and swelling. Osteoarthritis most often affects the knees, hips, hands, and spine. Seniors may notice pain especially after physical activity or after long per...
Read more

Fall Prevention Tips Every Senior Should Know

Image
  Fall Prevention Tips Every Senior Should Know As we grow older, fall prevention for seniors becomes extremely important. A simple fall at home can affect independence and health. The good news is that most falls are preventable with small, practical changes. Here are essential fall prevention tips every senior (and family member) should know. 1. Keep Floors Clear and Clutter-Free Loose wires, small furniture, newspapers, and uneven rugs are common causes of falls. Remove unnecessary items from walkways. Secure carpets with non-slip backing. Keep frequently used items within easy reach. A clear walking path is the first line of defense. 2. Improve Home Lighting Poor lighting makes it difficult to see obstacles. Install bright lights in hallways and staircases. Use night lights in bedrooms and bathrooms. Keep a lamp near the bed for easy access. Good lighting reduces hesitation and prevents missteps. 3. Wear Proper Footwear Slippers without grip ...
Read more

How to Improve Sleep After 65: Simple Tips for Better Health and Rest

Image
  How to Improve Sleep After 65: Simple Tips for Better Health and Rest Good sleep becomes more important as we grow older. However, many seniors find it difficult to sleep well at night. Learning how to improve sleep after 65 can help you feel more energetic, think clearly, and maintain good health. With a few simple lifestyle changes, seniors can enjoy deeper and more refreshing sleep. 1. Create a Comfortable Environment to Improve Sleep After 65 A peaceful bedroom is very important to improve sleep after 65 . Your bedroom should be quiet, dark, and comfortable. Here are a few simple tips: Keep the room cool and well-ventilated Use comfortable pillows and mattress Reduce noise and bright lights Avoid watching television in bed A calm sleeping environment helps the brain relax and prepares the body for good sleep. 2. Maintain a Daily Routine to Improve Sleep After 65 Following a regular routine can greatly improve sleep after 65 . Our body has a natural clo...
Read more