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 m3 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 6π 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 (132 – 52)3/2 = 63 x A, then the value of A is:
(A) 22
(B) 23
(C) 24
(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 x4 – 256, x3-4x2+3x-12 and x2-7x+12 is:
(A) x – 4
(B) x + 3
(C) x – 3
(D) x + 4
13-On dividing the polynomial 8x3 – 6x2 + 10x + 3 by (4x + 1), the quotient is 2x2 + 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 81x2 +16y2 -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)
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