**Q1. The main qualities of a mathematics teacher are**

(a) Impressive personality

(b) Mastery of the subject

(c) Professional competency

(d) All of the above

**Q2. The professional competency of a mathematics teacher can be improve by**

(a) Pre-service training

(b) In service training

(c) Selective academic programmes

(d) All of the above measures

**Q3. A teacher uses the text-book to fulfill his need for**

(a) Suitable subject matter

(b) Reference material

(c) Assigning home work

(d) All of the above

**Q4. A text-book is useful for**

(a) Backward children

(b) Gifted children

(c) Average students

(d) All of the above

**Q5. The criteria for evaluation of a text-book should be**

(a) Content

(b) Organisation and presentation of subject matter

(c) Author and price of the book

(d) All of the above

**Q6. The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?**

(a) Rs. 2000

(b) Rs. 2200

(c) Rs. 2400

(d) Data inadequate

**Q7. Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?**

(a) 10

(b) 15

(c) 12

(d) 20

**Q8. In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?**

(a) 67 kg.

(b) 68 kg.

(c) 69 kg.

(d) Data inadequate

**Q9. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point?**

(a) 26 minutes and 18 seconds

(b) 42 minutes and 36 seconds

(c) 45 minutes

(d) 46 minutes and 12 seconds

**Q10. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?**

(a) Rs. 2160

(b) Rs. 3120

(c) Rs. 3972

(d) Rs. 6240

**Solutions:**

S1. Ans.(b)

S2. Ans.(d)

S3. Ans.(d)

S4. Ans.(d)

S5. Ans.(b)

S6. Ans.(a)

Sol. Let the profit = Loss = x

1920 = CP x (100+x)/100

1280 = CP x (100-x)/100

CP = 1600

SP = 1600 x 125/100 = 2000

S7. Ans.(c)

Sol. Speed of the first train = 120/10 = 12 m/sec.

Speed of the second train =120/15= 8 m/sec.

Relative speed = (12 + 8) = 20 m/sec.

Therefore Required time =(120 + 120)/20 = 12 sec.

S8. Ans.(a)

Sol. Let Arun’s weight by X kg.

According to Arun, 65 < X < 72

According to Arun’s brother, 60 < X < 70.

According to Arun’s mother, X <= 68

The values satisfying all the above conditions are 66, 67 and 68.

Required average = (66 + 67 + 68)/3 = 201/3 = 67 kg.

S9. Ans.(d)

Sol. L.C.M. of 252, 308 and 198 = 2772.

So, A, B and C will again meet at the starting point in 2772 sec.

i.e., 46 min. 12 sec.

S10. Ans.(c)

Sol. Rate = (0.6P x 100)/(P x 6) = 10%

CI = 12000(1+10/100)^3-1=15972-12000=3972