Q. In △ABC, D, and E are the points on sides AB and AC, respectively and DE || BC, BC = 8 cm, and DE = 5 cm. If the area of △ADE = 45 cm2, then what is the area (in cm2) of △ ABC?
1) 115.2
2) 105.2
3) 125
4) 64
Q. Sonu saves 15% of her income. If her income increases by 20% and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)
1) 22.8
2) 23.5
3) 23.8
4) 24.2
Q. A boat can go 3 km upstream and 5 km downstream in 55 minutes. It can also go 4 km upstream and 9 km downstream in 1 hour 25 minutes. In how much time (in hours) will it go 43-2 km downstream?
1) 4.8
2) 5.4
3) 3.6
4) 4.4
Q. A person buys 5 tables and 9 chairs for ₹ 15400. He sells the tables at 10% profit and chairs at 20% profit. If his total profit on selling all the tables and chairs is ₹ 2,080, what is the cost price of 3 chairs?
1) ₹ 1,890
2) ₹ 1,740
3) ₹ 1,800
4) ₹ 1,860
Q. A can complete a certain work in 30 days, B is 25% more efficient than A and C is 20% more efficient than B. They all worked together for 3 days. B alone will complete the remaining work in -
1) 15 days
2) 12 days
3) 20 days
4) 18 days
Q. In △ABC, AB = AC. A circle drawn through B touches AC at D and intersects AB at P. If D is the mid point of AC and AP = 2-5 cm, then AB is equal to -
1) 9 cm
2) 7.5 cm
3) 12.5 cm
4) 10 cm
Q. ABCD is a cyclic quadrilateral which AB = 16-5 cm, BC = x cm, CD = 11 cm, AD = 19-8 cm, and BD is bisected by AC at O. What is the value of x 1 -
1) 12.4 cm
2) 13.8 cm
3) 13.2 cm
4) 12.8 cm
Q. If a + b + c = = 11, ab + be + ca = 3 and abc = -135, then what is the value of a3 + b3 + c3
1) 823
2) 929
3) 925
4) 827
Q. In △ABC, ∠B = 68° and ∠C = 32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠DBC and ∠BCE meet at F. What is the measure of ∠BFC ?
1) 55°
2) 39°
3) 50°
4) 65°
Q. When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?
1) 19
2) 20
3) 18
4) 16
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