1. What is the no. of distinct term in expansion of (a+b+c)²¹ ?
a. 231 b. 253 c. 242 d. 210 e. 228
2. The number of common term in two sequence 17, 21, 25......., 417 and 16, 21, 26......466 is
a. 499 b. 500 c. 375 d. 376 e. 501
3. Consider obtuse-angled with side 8cm,15cm and x cm. If x is a integer then how many such triangle exist ?
4. An equilateral triangle BPC is drawn inside square ABCD. what is the value of angle APD in degree ?
5. If a man cycles at 10 km/hr, then he arrived at a certain place at 1 pm. If he cycle at 15 km/hr, he will arrive at same place at 11 am. At what speed must he cycle to get there at noon ?
6. A milkman mix 20 L of water with 80 L of milk. After selling one-fourth of this mixture, he add water to replenish the quantity that he has sold. What is the current proportion of water to milk ?
7. Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 Kg of fresh grapes ?
8. Let N = 1421×1423×1425. What is the remainder when N is divided by 12 ?
a. 0 b. 9 c. 3 d. 5 e. 6
9. Ram had to do a multiplication. Instred of taking 35 as one of the multipliers, he took 53. As a result product went up by 540. What is the new product ?
a. 1050 b. 540 c. 1040 d. 1590 e. 1550
10. What is the sum of all 2- digit numbers that give a remainder of 3 when they are divided by 7 ?
a. 666 b. 676 c. 683 d. 777 e. 783