Q1. If a distance of 50 m is covered in 1 minute, that 110 m in 2 minutes and 170 m in 3 minutes, if he goes with the same pace. Find the distance covered by him in 13 minutes?
(a) 720 m
(b) 770 m
(c) 750 m
(d) 780 m
Q2. If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be?
Q3. Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube. The surface area of the new cube is?
(a) 486 cm²
(b) 496 cm²
(c) 586 cm²
(d) 658 cm²
Q4. Points P, Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60°. Then the subtended angle by arc QR at the center is?
Q5. If sin θ × cos θ = 1/2. The value of sin θ – cos θ is where 0° < θ < 90°?
Q6. If x + y = 15, then (x – 10)³ + (y – 5)³ is?
Q7. Two trains start from stations A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is?
(a) 990 km
(b) 1200 km
(c) 1320 km
(d) 1440 km
Q8. A shopkeeper gives two successive discounts of 7% each on the marked price of Rs. 20,000 of an article. The selling price of the article is?
(a) Rs. 17,298
(b) Rs. 18,927
(c) Rs. 19,278
(d) Rs. 12,978
Q9. Ravi and Shyam enter into a partnership and together start a business with contributions of Rs. 15000 and Rs. 20000. After 4 months Mohan also joins them with contribution of Rs. 22500. After 9 months Shyam withdraws his contribution. At the end of the year there is a profit of Rs. 9000. Find the share of each in the profit?
(a) Rs. 4000
(b) Rs. 3000
(c) Rs. 3500
(d) Rs. 3600
Q10. A batsman in his 12th innings makes a score of 63 runs and there by increases his average scores by 2. What is his average after the 12th innings?
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