Q. tan2 A + 5 sec A = 13, where 0 < A < 90°. Solve for A (in degrees).
1) 0
2) 60
3) 45
4) 30
Q. Avanish got 78% marks in an examination and Kapil got 64% marks in the same examination. If the sum of the marks obtained by Kapil and Avanish is 923, then find the marks obtained by Kapil in the examination -
1) 507
2) 416
3) 458
4) 600
Q. Aditya sells two wristwatches from his personal collection for Rs. 12,600 each. On the first watch, he gains 26% and, on the second, he loses 10%. Find the overall gain or loss percentage -
1) Gain of 16%
2) Gain of 5%
3) Loss of 5%
4) Gain of 12%
Q. A person's salary was decreased by 50% and subsequently increased by 50% and then again increased by 100%. How much percentage does he lose or gain?
1) Loss of 40%
2) Gain of 50%
3) Gain of 25%
4) Loss of 10%
Q. The value of 20 ÷ 5 of 8 x [9 ÷ 6 x (6-3)]-(10 ÷ 2 of 20) is -
1) 0
2) 1
3) 2
4) 6
Q. If the 5-digit number 676xy is divisible by 3, 7, and 11, then what is the value of (3x - 5y)?
1) 10
2) 11
3) 9
4) 7
Q. A shopkeeper earns a profit of 21% after selling a book at a 21% discount on the printed price. The ratio of the cost price and selling price of the book is :
1) 79 : 100
2) 100 : 79
3) 121 : 100
4) 100 : 121
Q. The average of 28 numbers is 77. The average of the first 14 numbers is 74 and the average of the last 15 numbers is 84. If the 14th number is excluded, then what is the average of the remaining numbers? (correct to one decimal place)
1) 76.9
2) 77
3) 73.1
4) 74.7
Q. P, Q, and R started a business by investing ₹ 12,000, ₹ 15,000, and ₹ 18,000 respectively. After 5 months, P invested ₹ 3,000 more and after 3 more months, R withdraws ₹ 3,000. Find the share of Q, if the total profit at the end of the year is ₹ 73,200.
1) ₹ 23,600
2) ₹ 22,500
3) ₹ 24,000
4) ₹ 25,200
Q. Train A crosses an electric pole in 18 seconds and train B crosses a man standing on a platform in 20 seconds. If the ratio of the speed of train A to B is 5 : 4, then find the time taken by train A to cross train B running in the same direction -
1) 160 seconds
2) 168 seconds
3) 172 seconds
4) 170 seconds
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