Q. If S represents the area of a square inscribed in a circle and T represents the area of an equilateral triangle inscribed in the same circle, then which of the following is correct?
1) 3√3T =8S
2) 3√3 T = 4S
3) 4T =3√3S
4) 8T=3√3S
Q. In a group of 400 boys, each boy plays at least one of the games cricket, hockey, and football. 185 play cricket, 165 play hockey, and 160 play football. 40 boys play only cricket and football. 20 boys play only hockey and cricket. 10 boys play only hockey and football. How many boys play all the three games?
1) 20
2) 18
3) 15
4) 10
Q. Three students A, B, and C of a school receive cash prizes in the ratio 3 : 4 : 5 in a competition. Then the school principal gives ₹4,000 to each student. As a result, now the cash prize of A, B, and C becomes in the ratio 5:6: 7. How much did B get in the competition?
1) ₹12,000
2) ₹ 10,000
3) ₹ 8,000
4) ₹ 6,000
Q. Riya could not decide between a discount of 30% or two successive discounts of 25% and 5%, both given on shopping. △ 3,840. What is the difference between both the discounts?
1) △44
2) △48
3) △42
4) △46
Q. The value of tan20 + cot20 - sec20 cosec20 is -
1) 2
2) -2
3) 0
4) 1 / 2
Q. The radius of a circle is 10 cm. The angle made by chord AB at the center of this circle is 60 degrees. What is the length of this chord?
1) 40 cm
2) 20 cm
3) 30 cm
4) 10 cm
Q. P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?
1) 11
2) 12
3) 13
4) 10
Q. The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.
1) 176
2) 188
3) 186
4) 147
Q. ₹2,500, when invested for 8 years at a given rate of simple interest per year, amounted to ₹3,725 on maturity. What was the rate of simple interest that was paid per annum?
1) 6%
2) 6.125%
3) 6.25%
4) 5.875%
Q. In a 1500 m race, Anil beats Bakul by 150 m, and in the same race, Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
1) 217.50 m
2) 200.15 m
3) 293.50 m
4) 313.75 m