Answer:
Rice in april = 450
Increase in 20% = +90
Since 150 more is the amount he spent, +60 should be on wheat
So 12%(Wheat) = Rs 60
Price of wheat = 500
So +60 in may = 500 + 60 = 560
The answer is, "560"
CAT Prep 2023 | CAT Previous Year Question Papers With Solution | CAT 2022 Student Review | PaGaLGuY
CAT 2020 Quant Question: Linear & quadratic equations
Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 less sharpeners. If the cost of one sharpener is 2 more than the cost of a pencil, then the minimum possible number of pencils bought by Aron and Aditya together is
A. 33
B. 27
C. 30
D. 36
Answer:
(Aron) Px + sx + 2s = (Aditya) 2px + sx – 20 – 10x + 2s
Px = 10x + 20
x(p-10) = 20
Together they bought 3p pencils
Minimum value of p has to be 11
So, minimum pencils they bought together is 33
The answer is, "33"
CAT 2020 Quant Question: Ratio & Proportions
A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is
Answer:
A : S : M
3 : 2
4 : 5
6 : 4 : 5
Given difference 6k – 4k = 2k = 400
k = 800
The answer is, " 800"
CAT 2020 Quant Question: Number Theory
How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?
Answer:
_ _ _ _ on the 4 digit 7 has to come before 3
So, 
possibilities for 7 coming before 3 into the spaces
7 ___ 3 ___ , 2 numbers are already there and 2 remaining spots we have to fill in
From 8 digits available (Excluding 7 and 3)
So, 
ways of choosing
After choosing two from 8, that two can be placed in any way
For example : 1 and 2 can be arranged as 12 and 21
So, × × 2
Now we need to subtract the possibility where 0 comes in the first position
0753, So these are in the form 0__ __ __
In this 3 places 7 before 3 can be placed in 
ways and remaining 1 digit
Can be chosen from 7 (Excluding 0,3,7) digits.
× 7 = 21 numbers
Should subtract 21 from × × 2
= (6 × 28 × 2) – 21
= 315
Hence, the answer is, " 315"
CAT 2020 Quant Question: Exponents & Powers
If 
for every positive integer m, then 
equals
A. -5050
B. -5051
C. -5150
D. -5151
Answer:
Now the vizualization of this equation becomes far simpler…
Hence, the answer is, "-5050"
CAT 2020 Quant Question: Number Theory
Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?
Answer:
2 < x < 10
x can take any of the values from the set {3, 4, 5, 6, 7, 8, 9}
14 < y < 23
y can take any of the values from the set {15, 16, 17, 18, 19, 20, 21, 22}
The highest value N (i.e x+y) can take = 9+22 = 31. (at x = 9; y = 22)
30 can be obtained at x = 9; y = 21
29 can be obtained at x = 9; y = 20
28 can be obtained at x = 9; y = 19
27 can be obtained at x = 9; y = 18
26 can be obtained at x = 9; y = 17
25 can be obtained at x = 9; y = 16
But, x+y=25 is not the desired sum, hence the different values of x+y are {31,30,29,28,27,26}.
Hence, x+y, and thereby N can take 6 distinct values.
Hence, the answer is, "6"
CAT 2020 Quant Question: Logarithms
CAT 2020 Quant Question: Work & time
A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?
Answer:
The contractor finishes 1.5 km in 60 days with 140 people.
That means, he finishes, 0.5 km in 20 days with 140 people.
He has 200 - 60 = 140 days left to finish the job.
Let’s say 20 days is 1 unit of time.
So the contractor finishes 0.5 km in 1 unit of time with 140 people, He has 4.5 kms to finish in 7 units of time(7 × 20 days) with n people.
The working capacity of the people should still be the same…
n = 180.
Therefore, the contractor needs, 180 - 140 = 40 people more.
The answer is, "40"
CAT 2020 Quant Question: Co-ordinate Geometry
The area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis is equal to
A. 12
B. 8
C. 6
D. 10
Answer:
y = |x| is a symmetric function, symmetric on the y axis…
y = |x - 2| + 4 is nothing but a translated graph of y = |x| from (0 , 0) to (2 , 4)
Refer to the image below…
We are asked to find the area, in sq. units, enclosed by the lines x = 2, y = |x - 2| + 4, the X-axis and the Y-axis.
The corresponding image to these graphs look like…
Now the enclosed area is the sum of areas of the rectangle and the triangle.
Hence, the answer is, "10"
CAT 2020 Quant Question: Averages
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick’s age is 1 year less than the average age of all three, then Harry’s age, in years, is
Answer:
Let’s consider Tom’s age to be ‘x’ years.
Dick is thrice as old as Tom,
Dick’s age = 3 × x = 3x
Harry is twice as old as Dick,
Harry’s age = 2 × 3x = 6x
Dick’s age is 1 year less than the average age of all three,
3 = x
x = 3
Harry’s age = 6x = 6 × 3 = 18 years.
Hence, the answer is, "18"
CAT 2020 Quant Question: Number Theory
How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?
A. 41
B. 42
C. 40
D. 43