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
Q. The simple interest on a certain sum for 3 years at 14% p.a. is? 4,200 less than the simple interest on the same sum for 5 years at the same rate. Find the sum.
1) ₹16,000
2) ₹10,000
3) ₹15,000
4) ₹12,000
Q. What will be the amount after three years at the compound interest (rounded off) on Rs. 4,000 for 3 years at 3% for the first year, 4% for the second year, and 5% for the third year -
1) ₹4,332
2) ₹4,499
3) ₹4,628
4) ₹4,826
Q. In a class, the number of boys is more than the number of girls by 10% of the total strength of the class. The ratio of the number of boys to girls is -
1) 11:9
2) 9 :11
3) 11:10
4) 10:11
Q. 2/3 of a principal amount is deposited in the post office at the simple interest rate of 15% per annum. If the difference between compound interest and simple interest for two years be ₹ 480, then the total principal amount is equal to -
1) ₹16,000
2) ₹12,000
3) ₹10,000
4) ₹8,000