Practice GAT Subject Mathematics questions with answers and explanations.
Choose an option to check your answer.
The reciprocal of 0.25 is 1 ÷ 0.25.
Since 0.25 = 1/4, its reciprocal is 4.
Choose an option to check your answer.
The total score is 20 × 60 + 30 × 70 = 3,300.
Dividing by 50 students gives 66.
Choose an option to check your answer.
One third of 3/4 is 1/4 of the full tank.
The remaining amount is 3/4 - 1/4 = 1/2.
Choose an option to check your answer.
The total ratio parts are 7, so one part is 35/7 = 5 liters.
Water is two parts, or 10 liters.
Choose an option to check your answer.
One hundred fifty percent equals 1.5.
Multiplying 80 by 1.5 gives 120.
Choose an option to check your answer.
Thirty percent of 20 liters is 0.30 × 20.
This equals 6 liters.
Choose an option to check your answer.
Since 12.5% = 1/8, one eighth of the number is 25.
The whole number is 25 × 8 = 200.
Choose an option to check your answer.
The solution contains 4 liters of salt, which remains unchanged.
For salt to be 25%, total volume must be 16 liters, so 6 liters are added.
Choose an option to check your answer.
After a 30% discount, 70% of the original price remains.
Thus, the original price is 840 ÷ 0.70 = 1,200.
Choose an option to check your answer.
The greatest common divisor of 24 and 36 is 12.
Dividing both terms by 12 gives 2:3.
Choose an option to check your answer.
Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.
Choose an option to check your answer.
The total number of ratio parts is 9, so one part is 720/9 = 80.
The largest share is 4 × 80 = Rs. 320.
