# CAT Exam Practice Set 3- Sample Paper, Questions With Solutions | Day 12 ## CAT Sample Paper

This CAT Sample paper (cat practice questions with solutions)consists of three Sections:

Part- A consists of 9 questions.

Part- B consists of 7 questions.

Part- C consists of 9 questions.

## Part-A: Quantitative Aptitude for CAT 2022

### (CAT Arithmetic Questions)

CAT Quant Questions With Solutions

Q1. The price of sugarcane has gone up by 25%, labour cost has also increased from 15% of the cost of sugarcane to 20% of the cost of sugarcane. By how much percentage should there be a reduction in the usage of sugarcane so as to keep expenditure the same?

(a) 23.33% (b) 26.66% (c) 28% (d) 25%

Q2. Two numbers A and B are 10% and 14% greater than a third number C. Find by what percentage is the number A less than the number B.

(a) 8.33% (b) 12.28% (c) 10.62% (d) 3.5%

Q3. A dealer sold two Radio Sets for Rs 977.5 each, gaining 15% on one and losing 15% on the other set. Find his net gain or a net loss.

(a) Rs 30 loss (b) Rs 45 loss (c) Rs 30 gain (d) Rs 45 gain

Q4. A dealer professes to sell at cost price but unknowingly he uses a 550-gram weight instead of a 500-gram weight. Find the percent profit/loss to the dealer.

(a) 9.09% Loss (b) 11.11% Profit (c) 12.5% Loss (d) None of these

Q5. The profit earned when an article is sold for Rs 500 is 30% more than the loss incurred when it is sold for Rs 385. At what price should the article be sold if he wants to gain 20%?

(a) Rs 300 (b) Rs 500 (c) Rs 522 (d) Rs 600

Q6. Two equal sums were lent at 8.5% simple interest per annum for 2.5 years and 3 years respectively. The difference in the interest was Rs 34. The sum lent was

(a) Rs 690 (b) Rs 800 (c) Rs 840 (d) Rs 780

Q7. The sum of money invested at simple interest becomes 7 times itself in 15 years. How many times will it become in 20 years’ time?

(a) 8 times (b) 7 times (c) 6 times (d) 9 times

Q8. A person bought an Electric Car under the following scheme: Down payment of Rs 6,15,000 and the rest amount in equal annual instalments of Rs 20000 at the rate of 12% per annum for 5 years. Find the total amount he paid (Assume simple interest).

(a) Rs 740000 (b) Rs 615000 (c) Rs 739000 (d) Rs 124000

Q9. If the simple interest is 10.25% annual and compound interest is 10% annual, find the difference between the interests after 3 years on a sum of Rs 2400.

(a) Rs 50 (b) Rs 56.4 (c) Rs 45 (d) Rs 18

## Part-B: LRDI Sets For CAT 2022

### Direction (Q1-Q3):

The only oil seeds that are produced in India are groundnut, mustard, soybean and sunflower. The total production of these oil seeds in 2008 was 80 mn tons. The pie chart on the left shows the break-up of this production across the four varieties. The pie chart on the right is also the percentage breakup of the total production of oil seeds across the four varieties, but this is only for the state of Maharashtra.

In all the questions “Rest of India” means all states in India other than Maharashtra.

Q1. If Maharashtra accounts for 10% of the total groundnut production in India, what percentage of the total oil-seed production of India is accounted for by Maharashtra?

1. 10% b. 12% c. 16.66% d. Cannot be determined

Q2. If the production of mustard in Maharashtra is 1.5 mn tons, what percentage of the total production of oil seeds in India is accounted for by Maharashtra?

1. 7.5% b. 8.75% c. 9.375% d. 10%

Q3. If the ratio of production of Sunflower in Maharashtra and the Rest of India is 1: 4, what percentage of total oil-seed production in the Rest of India is accounted for by Sunflower?

1. 10% b. 12% c. 17.5% d. 20%

cat practice questions

Direction (Q4- Q6)

These questions are based on the following information. Four students - Pankaj, Robin, Shushant and Titu got the top four ranks in Maths, Analytical and English. For each student, the ranks in no two subjects are the same. In each subject, no two students got the same rank. We know the following additional information.

1. The sum of the ranks of no two students is the same.
2. Robin got the first rank in Maths, Pankaj got the third rank in Analytical and Titu got the fourth rank in English.
3. The sum of the ranks of Shushant is the highest.
4. The rank of Robin in Analytical is not the same as the rank of Shushant in English.

Q4. Who got the third rank in Maths?

(A) Titu (B) Pankaj (C) Shushant (D) Either (A) or (B)

Q5. What is the sum of the ranks of Pankaj?

(A) 8 (B) 7 (C) 6 (D) Either (A) or (B)

Q6. Who got the second rank in English?

(A) Pankaj (B) Robin (C) Shushant (D) Either (A) or (B)

Q7. What is the sum of ranks of Robin?

(A) 6 (B) 7 (C) 8 (D) Either (A) or (B)

## Part-C (VARC - CAT Sample Paper)

### CAT Practice Questions

In the questions below, find the phrase with an error.

Q1: I have bought two houses in Agra, Uttar Pradesh (a)/ and shockingly neither (b)/ of them are properly furnished and ventilated. (c)/ No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q2. The strategy that (a)/ they are working on (b)/was not only correct but complicated (c)/. No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q3. If we will form(a)/ linguistic states, it (b)/ will be a Pandora’s box.(c)/ No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q4. When our bus reached (a)/ at the stop, we found the other party (b)/ had been waiting for us (c) /. No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q5. The flight(a)/ has taken off before(b)/ we reach the airport. (c)/ No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q6. Michael has(a)/ laid down (b)/for a quick nap. (c)/ No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q7. Despite my efforts, (a)/ my family did not acceded(b)/ to my terms. (c)/ No Error (d)

A. (a) B. (b) C. (c) D. (d)

Q8. Most actors cope up with (a)/stress by reaching for drugs (b)/rather than dealing with it.(c)/ No Error(d)

A. (a) B. (b) C. (c) D. (d)

Q9. The private sector is rapidly (a)/ flourishing since the liberalization (b)/ policy was introduced in 1991.(c)/ No Error(d)

A. (a) B. (b) C. (c) D. (d)

## CAT Sample Papers: Answers And Solutions

### cat entrance exam question papers with answers:

Ans 1: (a)

Let the Price of sugar cane per unit is 100x and 100y units of sugarcane are consumed initially.

Expenditure = Cost of sugarcane + Labour cost = (100x)(100y) + 15% of (100x)(100y)

= 10000xy + 1500xy = 11500xy

After increase in the price of sugarcane and labour cost;

Expenditure = 125xz + 20% of 125xz = 150xz; where z is new consumption of sugarcane

Since Expenditure remains the same. So,

11500xy = 150xz

So, z = 1150y/15 = 230y/3

Reduction in usage of sugarcane = 100y – 230y/3 = 70y/3

Percentage reduction in usage of sugarcane = (70y/3) x 100/100y = 23.33%

Ans 2: (d)

Let C = 100x

A = 110x

B = 114x

A is less than B by (4x * 100/114x)% i.e. 3.5%

Ans 3: (b)

There will be a net loss = 152/100% loss = 2.25 % loss.

So,

SPCP=97.75100

Here, Total SP = 977.5 x 2 = 1955

So,
1955CP=97.75100

On solving, Total CP = 2000

So, there will be a loss of Rs 45.

Ans 4: (a)

SP per unit = CP per unit = 1 (say)

Total SP Total CP=Quantity for which shopkeeper receive the amount x SP per unitQuantity for which shopkeeper pay the amount x CP per unit

Total SPTotal CP=500 x 1550 x 1 = 1011

He got a loss of 1 on 11 i.e. 9.09% loss.

Ans 5: (c)

Profit = 30% more than loss

If loss = 100x; CP = 385 + 100x

then, Profit = 130x; CP = 500 - 130x

So, 385 + 100x = 500 - 130x

⇒ 115 = 230x

⇒ x = 0.5

So, CP = 385 + 100 x 0.5 = Rs 435

Selling Price to get profit of 20% = 435+0.2 x 435= Rs 522

Ans 6: (b)

In 6 months, interest = 4.25% of Sum = 34

So, Sum = 34 x 100/4.25 = Rs 800

Ans 7: (d)

Let Principal = 100x

Interest in 15 yrs = 600x (Since amount becomes 7 times of principal)

Interest in 20 yrs = (600x/15) x 20 = 800x

So, the amount becomes 9 times of itself in 20 years.

Ans 8: (c)

Due amount after down payment- 20000 – 12 % of 20000 for 4 years – 20000 – 12% of 20000 for 3 years- – 20000 – 12% of 20000 for 2 years - – 20000 – 12% of 20000 for 1 years – 20000 = 0

⇒ Due amount – 100000 – 12% of 20000 (4 + 3+ 2+1) = 0

⇒ Due amount = 100000 + 12% of 20000 (4 + 3+ 2+1) = 124000

Therefore, Cost of Electric Car = 615000 +124000 = Rs 739000

*For concept read article for day-11

Ans 9: (b)

First calculate CI- SI for 3 years at 10% per annum = P(R/100)2(3+ R/100)

= 2400 (10/100)2(3+ 10/100)

= Rs 74.4

Additional SI at (10.25- 10) % for 3 years = 0.25 % of 2400 for 3 years = Rs 18

Net Difference between CI and SI for 3 years = Rs (74.4 – 18) = Rs 56.4

### Part B (LRDI)

Ans 1: (b)

25% of Maharashtra’s oil-seed production = 10% of (30% of India’s oil-seed production).

Thus, Maharashtra’s oilseed production = 3/25 of India’s oilseed production. Thus, the required percentage = 12%

Ans 2: (c)

Since mustard is 1/5th of the total oil seed production of Maharashtra, hence total oilseed production of Maharashtra = 7.5 mn tons. Thus, required percentage = 7.5/80 i.e. 9.375%

Ans 3: (b)

Total production of sunflower in entire India = 12.5% of 80 = 10. This production is divided between Maharashtra and the Rest of India in the ratio of 1: 4 i.e. Maharashtra produces 2 mn tons of sunflower. Hence it produces = 13.33 tons of oilseed. Thus, the Rest of India produces 80 – 13.33 = 66.66 tons of oilseeds of which the sunflower is 8 mn tons. Thus, the required percentage is 8/66.66 i.e. 8 × 3/2 = 12%

Solutions (Q4 to Q7)

As, the total sum = 30, and least sum (1, 2, 3) = 6, and the highest sum is (2, 3, 4) = 9, the sum of the ranks must be 6, 7, 8 and 9. From the given information, we have

 Robin Titu Pankaj Shushant Maths 1 Analytical 3 English 4 Total 9

Case 1:

Considering Sushant’s Rank Maths, analytical and in English be 2, 4, 3 respectively.

Titu cannot be 4th in maths as he is 4th in English. Similarly, Pankaj cannot be 3rd in maths. So Titu is 4th and Pankaj is 3rd in maths.

In Similar ways, Robin’s Rank in Analytical is 2nd and Titu’s Rank is 1st. Robin’s Rank cannot be calculated in English as it cannot take 1, 2, 3 and 4 according to given conditions.

 Robin Titu Pankaj Shushant Maths 1 3 4 2 Analytical 2 1 3 4 English 4 3 Total 9

Therefore, this possibility is wrong.

Case 2:

Considering Sushant’s Rank Maths, analytical and in English be 3, 4, 2 respectively.

Using the given conditions, the final table will look like

 Robin Titu Pankaj Shushant Maths 1 2 4 3 Analytical 2 1 3 4 English 3 4 1 2 Total 9

Rank of Robin’s and Sushant cannot be the same in Analytical and English respectively. Therefore, this possibility is also wrong.

Case 3:

Considering Sushant’s Rank Maths, analytical and in English be 4, 2, 3 respectively.

∴ In Analytical, Robin got the fourth rank as it cannot take 1st rank. Pankaj’s rank must be 2 in Maths. Robin’s rank in English must be 2

∴ Shushant’s ranks in English and Maths are 3 and 4 respectively.

∴ Titu got the third rank in Maths.

All conditions are true.

 Robin Titu Pankaj Shushant Maths 1 3 2 4 Analytical 4 1 3 2 English 2 4 1 3 Total 7 8 6 9

Ans 4: Titu got the third rank in Maths. Choice (A)

Ans 5: The sum of the ranks of Pankaj is 6. Choice (C)

Ans 6: Robin got the second rank in English. Choice (B)

Ans 7: The sum of the ranks of Robin is 7. Choice (B)

### Part-C (VARC)

Ans 1: (c)

“’Neither” should be followed by “is”. Replace ‘are’ with ‘is’.

Ans 2: (c)

Here ‘Not only’ doesn’t make any sense here.

Ans 3. (a)

Replace ‘will form’ with ‘form’. In the open condition conditional clause, present indefinite is used.

Ans 4: (c)

Use ‘waiting’ in place of ‘had been waiting’

Ans 5: B

‘Will have taken off’ is used in place of ‘has taken off.

Ans 6. (b)

Replace ‘laid down’ with ‘lain down’. The doer of the action is changed in laid and lain.

Ans 7. (b)

1st form of the verb is used with did. Hence, accede will be used in place of acceded.

Ans 8. (a)

‘Cope with’ should be used

Ans 9. (a)

Here we use present perfect continuous tense. Hence ‘has been’ is used in place of ‘is’.

CAT