# Mathematics Questions For All Teaching Exams:20th July 2019

*Q1.The length of a string is 8 feet and 9 inches, which is divided into 3 equal parts. What is the length of each part in inches?*
(a) 31

(b) 33

(c) 35

(d) 37

**Q2.Determine the largest 4 digit number which is a perfect square.**
(a) 9999

(b) 9702

(c) 9604

(d) 9801

**Q3.Shaan got a total of Rs. 912 in the denomination of equal numbers of Rs. 1, Rs. 5 and Rs. 10 coins. How many coins do Shaan posses?**
(a) 16

(b) 57

(c) 171

(d) 323

**Q4.Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is the value of smaller number?**
(a) 3

(b) 4

(c) 12

(d) 36

*Q5.Choose the CORRECT option about the two tangents drawn to the circle from the external point?*

*(A) The tangents subtend equal angles at the centre of the circle.*

*(B) The tangents drawn from the external point to a circle are equal in length.*

*(C) The tangents are equally inclined to the segment which joins the centre to that point.*
(a) A and B only

(b) B and C only

(c) A, B and C

(d) A and C only

*Q6.Consider the figure shown below which consists of the triangle ABC which touches the circle with centre at O. Which of the following options is CORRECT?*
(a) AB – CQ = AC + BQ

(b) AB + CQ = AC + BQ

(c) AB + CQ = AC – BQ

(d) None of the above

*Q7.If price of oranges is increased by 30%, then a person can buy 12 oranges less for Rs 208. What is the original price (in Rs) of an orange?*
(a) 2

(b) 4

(c) 8

(d) 3

*Q8.Of three positive numbers, the ratio of first and second is 5 : 2, ratio of second and third is 5 : 4. The product of first and third is 1800. What is the sum of the three numbers?*
(a) 43

(b) 133

(c) 119

(d) 129

*Q9.The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?*
(a) 7 : 9

(b) 5 : 7

(c) 15 : 13

(d) 9 : 11

**Q10.Average of 31 numbers is 19. If the average of first 8 numbers is 24, then what is the average of the remaining numbers?**
(a) 17.26

(b) 23.25

(c) 26.2

(d) 25.45

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