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%
Q. What is the value of tan 240°?
1) √2
2) (-)√3
3) √3
4) 3
Q. If x + y = 36, then find (x - 27)3 + (y - 9)3.
1) 1
2) 81
3) 2y
4) 0
Q. A container contains 25 liters of milk. From this container, 5 liters of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?
1) 11.5 litre
2) 14.8 litre
3) 13.5 litre
4) 12.8 litre
Q. Two numbers are in the ratio of 6 : 5. If their HCF is 3, then what is the LCM of the two numbers?
1) 64
2) 110
3) 90
4) 80
Q. If a + b = 11 and ab = 35, then what is the value of (a4+ b4?
1) 151
2) 261
3) 124
4) 102
Q. If 450 men can finish the construction of an apartment in 20 days, then how many men are needed to complete the same work in 30 days?
1) 150
2) 300
3) 400
4) 250
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