Q. From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 110√3 m high. What is the distance (in m) of point P from the foot of the tower?
1) 330
2) 220
3) 115
4) 110
Q. A journey of 900 km is completed in 11 hrs. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
1) 108
2) 72
3) 84
4) 90
Q. The angles of a triangle are (8x - 15)°, (6x - 11)° and (4x - 10)°. What is the value of x?
1) 12
2) 16
3) 15
4) 18
Q. Five men and 2 boys can do in 30 days as much work as 7 men and 10 boys can do in 15 days. How many boys should join 40 men to do the same work in 4 days?
1) 10
2) 15
3) 12
4) 14
Q. In a circle, ABCD is a cyclic quadrilateral, AC and BD intersect each other at P. If AB = AC and ∠BAC = 48°, then the measure of ∠ADC is -
1) 104°
2) 112°
3) 132°
4) 114°
Q. A certain sum on simple interest becomes ₹ 49,600 in 3 years and ₹ 56,000 in 5 years. If the rate of interest had been 2% more, then in how many years would the sum have doubled?
1) 10
2) 8
3) 12
4) 20
Q. The average of 15 numbers is 30, while the average of 13 of these numbers is 32. If the remaining two numbers are equal, then what is each of the two numbers?
1) 34
2) 31
3) 17
4) 16
Q. A, B, and C invested ₹ 40,000, ₹ 48,000, and ₹ 80,000 respectively for a business at the start of a year. After six months, for the remaining time of the year, A added ₹ 4,000, B added ₹ 4,000, and C withdrew ₹ 4,000 every month. If the total profit is ₹ 6,72,000, then what is C's share (in Rs.)?
1) ₹ 1,96,750
2) ₹ 1,80,480
3) ₹ 2,11,200
4) ₹ 2,80,320
Q. In a circle with centre O, AC and BD are two chords. AC and BD meet at E, when produced. If AB is a diameter and ∠AEB = 36°, then the measure of ∠DOC is -
1) 112°
2) 124°
3) 136°
4) 108°
Q. In △ABC, AD is perpendicular to BC and AE is the bisector of ∠BAC. If ∠ABC = 58° and ∠ACB = 34°, then find the measure of ∠DAE -
1) 12°
2) 11°
3) 22°
4) 15°
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