Q. Kapil sells a mobile to Sachin at a gain of 15% and Sachin again sells it to Rohit at a profit of 12%. If Rohit pays ₹ 322, what is the cost price of the mobile for Kapil?
1) ₹ 350
2) ₹ 450
3) ₹ 250
4) ₹ 325
Q. A swimmer swims from a point P against the current for 6 minutes and then swims back along the current for the next 6 minutes and reaches a point Q. If the distance between P and Q is 120 m then the speed of the current (in km/h) is -
1) 0.4
2) 0.2
3) 1
4) 0.6
Q. A takes 4 times as much time as B or 5 times as much time as C to finish a piece of work. Working together, they can finish the work in 4 days. B can do the work alone in -
1) 10 days
2) 15 days
3) 12 days
4) 20 days
Q. In triangle ABC, the bisector of angle BAC cuts the line BC at D. If BD = 6 and BC = 14 then what is the value of AB : AC?
1) 3 : 4
2) 7 : 3
3) 3 :10
4) 3 : 7
Q. What will be the remainder when 2727 + 27 is divided by 28?
1) 28
2) 27
3) 25
4) 26
Q. The ratio of expenditure to savings of a woman is 5 :1. If her income and expenditure are increased by 10% and 20%, respectively, then find the percentage change in her savings.
1) 55%
2) 60%
3) 50%
4) 40%
Q. If tan θ + sec θ = 7, θ being acute, then the value of 5 sin θ is -
1) 25/24
2) 24/25
3) 1/24
4) 24/5
Q. A solid metallic sphere of radius 13 cm is melted and recast into a cone having a diameter of the base of 13 cm. What is the height of the cone?
1) 246 cm
2) 152 cm
3) 174 cm
4) 208 cm
Q. A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
1) 143 m
2) 108 m
3) 324 m
4) 234 m
Q. The single discount equivalent to two successive discounts of 15% and 12% on an article is -
1) 3%
2) 25.2%
3) 74.8%
4) 27%
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