Q. A certain number of students from school X appeared in an examination and 20% of students failed. From school Y, 130% more students than that from school X, appeared in the same examination. If 90% of the total number of students appeared from both the schools passed, then what is the percentage of students from school Y who failed (correct to one decimal place)?
1) 6.4%
2) 10%
3) 5.7%
4) 8.3%
Q. In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm, EF = 6 cm, then find the length (in cm) of BC.
1) 30
2) 20
3) 25
4) 15
Q. Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?
1) 11
2) 22
3) 12
4) 24
Q. A △ABC has sides of 5 cm, 6 cm, and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
1) 13
2) 9
3) 11
4) 12
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
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