Q : what is the value of the expressioncos 2A cos2B+sin2(A-B)-sin2(A+B)?
(A) sin(2A-2B)
(B) cos(2A+2B)
(C) cos(2A-2B)
(D) sin(2A+2B)
Correct Answer : B
Q : What is the value of a2+b2+c2-2ab-2bc+2ca?
(A) (2a + b + c)2
(B)(a − b + c)2
(C)(a − b − 2c)2
(D)(a + 2b − c)2
Correct Answer : B
Q : If sin2θ - 3sinθ + 2=0, the find the value of θ(00≤ θ≤900)
(A)450
(B)00
(C)600
(D)900
Correct Answer : D
Q : If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:
(A) 24 cm
(B) 16 cm
(C) 14 cm
(D) 12 cm
Correct Answer : A
Q : A person deposited TK15,600 in a fixed deposit at 10% per annum simple interest. After every second year he adds his interest earned to the principal. The interest at the end of 4 years is:
(A) TK6,655
(B) TK3,744
(C) TK6,864
(D) TK3,975
Correct Answer : C
Q : A watch is sold at a profit of 25%. Had it been sold for TK120 less then, there would have been a less then of 15%. What is the cost price in rupees?
(A) TK400
(B) TK350
(C) TK200
(D) TK300
Correct Answer : D
Q : In a proportion, the 1st , 2nd and 4th terms are 51, 68 and 108, respectively. What is the 3rd term?
(A) 82
(B) 81
(C) 83
(D) 84
Correct Answer : B
Q : What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?
(A) Two triangles are said to be congruent if any pair of 2 angles and any 1 pair of sides of both the triangles are equal.
(B) Two triangles are said to be congruent if all three sides of both the triangles are equal.
(C) Two triangles are said to be congruent if 2 angles and the included side of one triangle are equal to 2 angles and the included side of the other triangle
(D) Two triangles are said to be congruent if 2 sides and the included angle of one triangle are equal to 2 sides and the included angle of the other triangle.
Correct Answer : C
Q : Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:
(A) 0.28
(B) 3.48
(C) 251.62
(D) 129.23
Correct Answer : B
Q : If p = 8.15, q = 9.06 and r = −17.21, then the value of p3+q3+r3-3pqr
(A) -5.62
(B) 4.75
(C) -3.81
(D) 0
Correct Answer : D
Q : A 900 metre long train crosses a 1200 metres long platform completely in 70 seconds. What is the speed of the train?
(A) 117 km/h
(B) 108 km/h
(C) 99 km/h
(D) 90 km/h
Correct Answer : B
Q : If 1,000 is divided into three parts in the ratio 2 : 3 : 5, find the value of the smallest part.
(A) 100
(B) 300
(C) 200
(D) 400
Correct Answer : C
