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°
Q. tan2 A + 5 sec A = 13, where 0 < A < 90°. Solve for A (in degrees).
1) 0
2) 60
3) 45
4) 30
Q. Avanish got 78% marks in an examination and Kapil got 64% marks in the same examination. If the sum of the marks obtained by Kapil and Avanish is 923, then find the marks obtained by Kapil in the examination -
1) 507
2) 416
3) 458
4) 600
Q. Aditya sells two wristwatches from his personal collection for Rs. 12,600 each. On the first watch, he gains 26% and, on the second, he loses 10%. Find the overall gain or loss percentage -
1) Gain of 16%
2) Gain of 5%
3) Loss of 5%
4) Gain of 12%
Q. A person's salary was decreased by 50% and subsequently increased by 50% and then again increased by 100%. How much percentage does he lose or gain?
1) Loss of 40%
2) Gain of 50%
3) Gain of 25%
4) Loss of 10%
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