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Ques 1 GATE 2025 SET-2
A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at 192 per kg.
The cost of the variety P is 800 for 5 kg.
The cost of the variety Q is 800 for 4 kg.
If the person gets 8% profit, what is the P:Q ratio (by weight)?
(a) is the correct answer.
The cost per kg of each variety
Variety P: 800 for 5 kg
Cost per kg of P = 800 ÷ 5 = 160/kg
Variety Q: 800 for 4 kg
Cost per kg of Q = 800 ÷ 4 = 200/kg
The cost price of the mixture
Given: Selling price = 192 per kg and Profit = 8%
Using the formula: SP = CP × (1 + profit%)
192 = CP × 1.08
CP = 192 ÷ 1.08 = 1600/9 per kg
Using the mixture rule
Let the ratio of P:Q be x:y (by weight)
Cost of mixture per kg = (x × 160 + y × 200) ÷ (x + y)
This should equal 1600/9:
(160x + 200y) ÷ (x + y) = 1600/9
9(160x + 200y) = 1600(x + y)
1440x + 1800y = 1600x + 1600y
1800y - 1600y = 1600x - 1440x
200y = 160x
y/x = 160/200 = 4/5
Therefore, x:y = 5:4
Answer: P:Q = 5:4
Ques 2 GATE 2025
A business person buys potatoes of two different varieties P and Q, mixes them in a certain ratio and sells them at 192 per kg.
The cost of the variety P is 800 for 5 kg.
The cost of the variety Q is 800 for 4 kg.
If the person gets 8% profit, what is the P:Q ratio (by weight)?
(c) is the correct answer.
Ques 3 GATE 2023
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
(b) is the correct answer.
Ques 4 Gate 2022
A sum of money is to be distributed among P, Q, R, and S in the
proportion 5 : 2 : 4 : 3, respectively.
If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?
(d) is the correct answer.
Ques 5 GATE 2021
The ratio of boys to girls in a class is 7 to 3.
Among the options below, an acceptable value for the total number of students in the class is:
(c) is the correct answer.
Ques 6 GATE 2021
The ratio of boys to girls in a class is 7 to 3.
Among the options below, an acceptable value for the total number of students in the class is:
(c) is the correct answer.
Ques 7 GATE 2020
Non-performing Assets (NPAs) of a bank in India is defined as an asset, which remains unpaid by a borrower for a certain period of time in terms of interest, principal, or both. [cite: 5] Reserve Bank of India (RBI) has changed the definition of NPA thrice during 1993-2004, in terms of the holding period of loans. [cite: 6] The holding period was reduced by one quarter each time. [cite: 7] In 1993, the holding period was four quarters (360 days). [cite: 7]
Based on the above paragraph, the holding period of loans in 2004 after the third revision was ______ days.
(90) is the correct answer.
Ques 8 GATE 2019
Fiscal deficit was 4% of the GDP in 2015 and that increased to 5% in 2016. If the GDP increased by 10% from 2015 to 2016, the percentage increase in the actual fiscal deficit is
(a) is the correct answer.
Ques 9 GATE 2019
Mola is a digital platform for taxis in a city. It offers three types of rides - Pool, Mini and Prime. The Table below presents the number of rides for the past four months. The platform earns one US dollar per ride. What is the percentage share of revenue contributed by Prime to the total revenues of Mola, for the entire duration?
(b) is the correct answer.
Ques 10 Gate 2018
In appreciative of social improvement completed in a town, a wealthy philanthropist decided to give gift of Rs. 750 to each male senior citizen and Rs. 1000 for female senior citizens. There are total 300 senior citizens and th 8/9th of total men and 2/3rd of total women claimed the gift. What is amount of money philanthropist paid?
(Ratio and Proportion ) is the correct answer.
Ques 11 GATE 2018
Two alloys A and B contain gold and copper in the ratios of 2:3 and 3:7 by mass, respectively. Equal masses of alloys A and B are melted to make an alloy C. The ratio of gold to copper in alloy C is
(b) is the correct answer.
Ques 12 GATE 2011
If m students require a total of m pages of stationery in m days, then 100 students will require 100 pages of stationery in
(d) is the correct answer.
Ques 13 GATE 2011
Three sisters (R, S, and T) received a total of 24 toys during Christmas. The toys were initially divided among them in a certain proportion. Subsequently, R gave some toys to S which doubled the share of S. Then S in turn gave some of her toys to T, which doubled T's share. Next, some of T's toys were given to R, which doubled the number of toys that R currently had. As a result of all such exchanges, the three sisters were left with equal number of toys. How many toys did R have originally?
(c) is the correct answer.