
(a) 12 cm
(b) 5 cm
(c) 8 cm
(d) 10 cm
Q2. In a triangle ABC, AB = AC. BC is extended to point D such that AC = CD. If ∠BAD = 84°, then ∠BAC = ?
(a) 52°
(b) 42°
(c) 32°
(d) 48°
Q3. When price of sugar is increased by 28%. A house wife get 14 kg less sugar in Rs. 150. Find the new price of sugar per kg?
(a) Rs. 3
(b) Rs. 211/32
(c) Rs. 31/3
(d) None of these
Q4. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 12 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was there in the can initially?
(a) 28 litres
(b) 21 litres
(c) 14 litres
(d) 35 litres
Q5. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm , the area of the rectangle is increased by 75 〖cm〗^2 the breadth of the rectangle is..
(a) 40 cm
(b) 10 cm
(c) 20cm
(d) 30cm
Q6. The dimensions of a cuboid are a, b, c units its volume is V cubic units and its whole surface area is S sq. units. Then 1/V = ?
(a) S/2 (a + b + c)
(b) 2/S (1/a+1/b+1/c)
(c) 2S (a + b + c)
(d) 2S/((a + b + c) )
Q7. A, B, C are partners. A receives 2/7 of the profit and B & C share the remaining profit equally. A’s income is increased by Rs. 240 when the profit rises from 10% to 15%. Find the capital invested by A, B and C respectively?
(a) Rs. 4200, Rs. 6000, Rs. 6000
(b) Rs. 4800, Rs. 6000, Rs. 6000
(c) Rs. 4500, Rs. 5625, Rs. 5625
(d) Rs. 4000, Rs. 5000, Rs. 5000
Q8. A and B invested in the ratio 3 : 2 in a business. If 5% of the total profit goes to charity and A’s share is Rs. 855, find the total profit?
(a) Rs. 1200
(b) Rs. 1800
(c) Rs. 1500
(d) Rs. 1600
Q9. Charging 30% above its production cost a radio maker puts a lebel of Rs. 286 on a radio as its price. But at the time of selling it, he allows 10% discount on the labelled price. What will his gain be?
(a) Rs. 198
(b) Rs. 245.40
(c) Rs. 37.40
(d) Rs. 54.40
Q10. A fruit-seller buys some oranges and by selling 40% of them he realises the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit. The rest of the oranges being rotten are thrown away. The overall percentage of profit is
(a) 80
(b) 84
(c) 94
(d) 96
Q11. If a^x=b and b^y=a, then xy = ?
(a) 1
(b) –2
(c) –1
(d) 2
Q12. A can do a piece of work in 15 days. A does the work for 3 days only and leaves the job. B does the remaining work in 8 days. In how many days B alone can do the work?
(a) 12 days
(b) 10 days
(c) 8 days
(d) 11 days
Q13. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water.
(a) 1 : 1
(b) 1 : 2
(c) 2 : 3
(d) 3 : 2
Q14. If 29 tan θ = 31, then the value of (1 + 2 sinθ.cosθ)/(1 - 2 sinθ.cosθ ) is equal to :-
(a) 540
(b) 490
(c) 810
(d) 900
Q15. The measures of two angles of a triangle is in the ratio 4 : 5. If the sum of these two measures is equal to the measure of the third angle. Find the smallest angle.
(a) 90°
(b) 50°
(c) 10°
(d) 40°
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