# Multiple Choice Questions (MCQ) on Mathematics (CTET, September 2016)

**Multiple Choice Questions (MCQ) on Mathematics (CTET, September 2016)**

**1-If one angle of a triangle is 110 degree, then the angle between the bisectors of the other two angles measures: **

(A) 100 degree

(B) 110 degree

(C) 145 degree

(D) 90 degree

**2-In triangle ABC, AB=4cm, AC=5cm and BC=6cm. In triangle PQR, PR=4cm, PQ=5cm and RQ=6cm. Triangle ABC is concurrent to:**

(A) Triangle PRQ

(B) Triangle QRP

(C) Triangle RPQ

(D) Triangle PQR

**3-A tank is in the form of a cuboid. It holds a maximum of 540 m ^{3} water. If the tank is 8m long and 15m wide, then how many metres deep must the water be when the tank is 2/3 full? **

(A) 2.5

(B) 3

(C) 4.5

(D) 2

**4-The ratios of the areas of two equilateral triangles is 16:9. If the perimeter of the smaller triangle is 63cm, then how much larger is a side of the larger triangle than a side of the smaller triangle?**

(A) 4cm

(B) 5cm

(C) 7cm

(D) 3cm

**5-The area of a triangle is equal to the area of a circle whose perimeter is 6****π**** cm. If the base of the triangle is 8cm, then its corresponding height (in cm) is:**

(A) 2

(B) 2.25π

(C) 2.25

(D) π

**6-The mean of mode, median and range of the data:**

**2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4**

**is:**

(A) 6

(B) 7

(C) 9

(D) 4

**7-Which of the following numbers does not lie between -5/6 and 7/8 ?**

(A) -3/4

(B) -11/12

(C) 5/6

(D) -17/24

** **

**8-The reciprocal of [(3/8) ^{-2} x (-4/5)^{-3}] is:**

(A) 125/9

(B) 9/125

(C) (8/3)^{2} x (5/-4)^{3}

(D) -9/125

**9-If (13 ^{2 }– 5^{2})^{3/2} = 6^{3} x A, then the value of A is:**

(A) 2^{2}

(B) 2^{3}

(C) 2^{4}

(D) 2

**10-If x√243 = y√867, where ‘x’ and ‘y’ are co-prime numbers, then the value of (x-y) is:**

(A) 4

(B) 6

(C) 8

(D) 3

**11-The sum of all possible values of ‘a’, for which the 4-digit number 547a is divisible by 3, is:**

(A) 10

(B) 13

(C) 15

(D) 7

**12-A common factor of x ^{4} – 256, x^{3}-4x^{2}+3x-12 and x^{2}-7x+12 is:**

(A) x – 4

(B) x + 3

(C) x – 3

(D) x + 4

**13-On dividing the polynomial 8x ^{3 }– 6x^{2 }+ 10x + 3 by (4x + 1), the quotient is 2x^{2 }+ k, where ‘k’ is equal to:**

(A) 3 + 2x

(B) – 3 – 2x

(C) – 3 + 2x

(D) 3 – 2x

**14-When x=1/9 and y=-3/4, then the value of the expression 81x ^{2 }+16y^{2 }-72xy is:**

(A) 16

(B) 9/4

(C) 9/16

(D) 25

**15-Abhi is twice as old as his daughter. Five years ago, his age was four times his daughter’s age. If the present age of the daughter is x years, then: **

(A) 4(x-5) = 2x-5

(B) 4(x+5) = 2(2x-5)

(C) 2(x-5) = 4(2x+5)

(D) 2(x-5) = 4(2x-5)

**16-A sum of Rs. 6250 at 8% per annum. Compounded annually, after 2 years 9 months, amounts to:**

(A) Rs. 7581.40

(B) Rs. 7727.40

(C) Rs. 7872.60

(D) Rs. 7165.60

**17-A person marks his goods 40% above the cost price and allows 40% discount on the marked price. His loss/gain percent is:**

(A) gain, 10%

(B) loss, 16%

(C) No loss/gain

(D) loss, 8%

**18-The angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. The sum of the supplement of the largest angle and the complement of the smallest angle is:**

(A) 60 degree

(B) 70 degree

(C) 80 degree

(D) 50 degree

**19-Two sides of a right angled triangle measure 15cm and 17cm. Which of the following statements can be true of the length of the third side of the triangle?**

**It is between 4cm and 7cm****It is between 20cm and 23cm****It is less than 10cm**

(A) 1 and 2 only

(B) 2 and 3 only

(C) 1 and 3 only

(D) 2 only

**ANSWERS:**

1-(C), 2-(A), 3-(B), 4-(C), 5-(B), 6-(B), 7-(B), 8-(D), 9-(B), 10-(C), 11-(C), 12-(D), 13-(D), 14-(A), 15-(A), 16-(B), 17-(B), 18-(B), 19-(B)