**Deloitte Aptitude Test Questions and Answers 2024 | Sample Aptitude Questions of Deloitte | Deloitte Aptitude Test Questions and Answers PDF | Deloitte Aptitude Test Model Questions | Deloitte Aptitude Test Previous Year Question Papers**

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__Deloitte Aptitude Test Questions With Answers__

__Deloitte Aptitude Test Questions With Answers__

**Q)**** If the list price of a fan is Rs. 1500 and a discount of 20% is offered on the list price, what additional discount must be offered to the customer to bring the net price down to Rs. 1104?**

- 8%
- 10%
- 12%
- 5%

**Ans: A**

**Q)**** Arima purchased a briefcase with an additional 10% discount on the reduced price after receiving a discount of 20% on the price that was labeled on the briefcase. How much did she actually pay for the briefcase, considering that it was marked with a price of Rs. 1400?**

- Rs.980
- Rs.1008
- Rs.1056
- Rs.1120

**Ans: B**

**Q)**** If a company sells a car with a marked price of Rs. 2,72,000 and gives a discount of 4% on Rs. 2,00,000 and 2.5% on the remaining amount of Rs. 72,000, then the actual price charged by the company for the car is**

- Rs. 2,50,000
- Rs. 2,55,000
- Rs. 2,60,100
- Rs. 2,62,200

**Ans: D**

**Q)**** Jatin was able to get a discount of twenty percent off the price that was listed on the refrigerator he purchased. If he had purchased it when it was on sale for 25% off, he could have saved an additional Rs. 500. When did he buy the refrigerator, and how much did he pay for it?**

- Rs.5,000
- Rs.10,000
- Rs.12,500
- Rs.15,000

**Ans: A**

**Q)**** If a bag contains 23 toys with the numbers 1 to 23, and two toys are drawn at random, one after another (without replacing the first toy), what is the probability that both toys will have even numbers? Replace the first toy with a new toy before drawing the second toy.**

- 5/21
- 9/42
- 11/42
- 5/23

** Ans: D**

**Q)**** In 75% of all situations, X is telling the truth, whereas, in 80% of all situations, Y is telling the truth. In what proportion of instances do accounts differing in detail but describing the same occurrence contradict one another?**

- 45%
- B.5%
- 35%
- 22.5%

**Ans: C**

**Q)**** Amar, Akbar, and Anthony have a combined age of eighty years if you add their ages together. When they were all together, what was the combined age of all of them three years ago?**

- 71 years
- 72 years
- 74 years
- 77 years

**Ans: 71**

**Q)**** If a boat is traveling upstream, it will take 8 hours and 48 minutes to cover a certain distance; however, if the boat is traveling downstream, it will only take 4 hours to cover the same distance. How does the speed of the boat compare to the speed of the water current, and what is the ratio of the two?**

- 2: 1
- 3: 2
- 8 : 3
- None of these are acceptable.

**Answer: C**

**Q)**** A boat traveling in the opposite direction of the current can cover the same distance of 16 kilometers in two hours, whereas traveling in the opposite direction of the current can take four hours. When the water is completely still, how fast does the boat travel?**

- 4 km/hr
- 6 km/hr
- 8 km/hr
- Data inadequate

**Answer: B**

**Q)**** A defeats B by 20 meters in the 200-meter race, whereas B defeats C by 5 meters in the 100-meter contest. In a kilometer race, A defeats C by**

- 105 meters
- 225 meters
- 205 meters
- 145 meters

**ANSWER: ** **Option D**

Elucidation:
When A = 200, B = 180. |

**Q) ** **Each of the four locations sells tomatoes for 1 kilogram, 2 kg, 3 kg, and 4 kg per rupee, respectively. He has spent each rupee on an average of x kg of tomatoes. Then the value of x is**

- 2
- 2.5
- 1.92
- None of these

**ANSWER: Option B**

__Elucidation__**: **x = 10/4 = 2.5

**Q)****When 75% of a number is added to 75, the result is the same number. The number is**

- 150
- 300
- 100
- 450

**ANSWER: Option B**

__Elucidation__**:
**Let the number be equal to x.

3x/4 +75 = x

Hence x=300

**Q) ****If P : Q = 3 : 4 and Q : R = 5 : 6, then P : Q : R is**

- 3 : 4 : 6
- 3 : 5 : 6
- 15 : 20 : 24
- 5 : 6 : 3

**ANSWER: Option C**

__Elucidation__**:**

P:Q=3:4, Q:R=5:6, P:Q:R=3×5:5×4:6×4

⇒ 15:20:24

**Q) ****If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?**

- 100
- 1000
- 500
- 2000

**ANSWER: Option D**

__Elucidation__**: **5 × 5 × x = 100 × 100 × 5 ⇒ x = 2000

**Q) ****A car travels 25km an hour faster than a bus for a journey of 500km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are**

- 25km/hr and 40km/hr respectively
- 25km/hr and 60 km/hr respectively
- 25km/hr and 50km/hr respectively
- None of these

**ANSWER:** Option C

__Elucidation__**: **

Let the speeds of the bus and car be x and y. Here, y = x +25

As per the question, (500/x)-(500/x+25)=10

⇒ 500(x + 25) − 500(x) =10x(x+25) ⇒ x = 25, y = 50.

For such questions, you can also use direct substitution from the given choices

**Q) ****The value of 5 ^{1/4}× (125)^{25}is**

- 5
- 25
- 50
- 10

**ANSWER: Option A**

__Elucidation__**: **5^{1/4} × (125)^{0.25} =5^{1/4 + 3/4} =5^{1} =5

**Q) ****In seven years, a sum of money doubles in value. How long till it multiplies by four?**

- 35 years
- 28 years
- 14 years
- 21 years

**ANSWER: Option D**

__Elucidation__**:**

Double in seven years.

So 4 times will be in = 7 × (4 − 1) = 21 years.

**Q) ****If the slow train travels at a pace that is 10 km/hr slower than the fast train, the two trains’ travel times for a 600 km route are reduced by 3 hours.**

- 60 km/hr and 70 km/hr
- 50 km/hr and 60 km/hr
- 40 km/hr and 50 km/hr
- 30 km/hr and 40 km/hr

**ANSWER: Option C**

__Elucidation__**:**

(600/x)-(600/x+10)=(3/1)

Solving this, we get x = 40

**Q)**** A can hold a combination of two liquids, A and B, in the proportion of 7 to 5, respectively. The proportion of A to B shifts to 7:9 when 9 liters of the mixture are removed and the container is then filled with B. The initial amount of liters of liquid A that the can held was **

- 10 L
- 20 L
- 21 L
- 25 L

**Ans: C**

**Q)**** A container holds a combination of two different types of liquid. 7 parts water to 5 parts milk makes up this proportion. The proportion of milk to water in the container is changed to 7:9 when 9 liters of the mixture are removed, and it is then filled with water. How many liters of milk were initially contained inside of the can when it was first opened**

- 12 L
- 15 L
- 21 L
- 26 L

**Ans: C**

**A and B together can complete; a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in**

- 8 days
- 10 days
- 12 days
- 6 days

**Answer: Option B**

**Explanation: **(A+B)’s 1 day’s work = 1/12

(B+C)’s 1 day’s work = 1/20

(C+A)’s 1 day’s work = 1/15

On adding all there, 2(A+B+C)’s day’s work = (1/12)+(1/20)+(1/15)=1/5

⇒(A+B+C)’s 1 day’s work = 1/10

Hence, the work will be finished in 10 days.

**A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days. B alone could do the work in**

- 6 days
- 8 days
- 10 days
- 4 days

**Answer: Option A**

**Explanation: **(A+B)’s 2 day’s work = 2/3

Remaining work = 1- (2/3)= 1/3

Time taken by A in 1/3 doing work = 2 days

Time taken by A in completing the work = 6 days

B’s 1 day’s work = (1/3)-(1/6)= 1/6

B alone will complete the work in 6 days

**A does 20% less work than B. If A can complete a piece of work in 15/2 hours, then B can do it in**

- 6 hours
- 8 hours
- 10 hours
- 4 hours

**Answer: Option A**

**Explanation: **Efficiency of A and B = 4 : 5

Ratio of respective time = 5 : 4

⇒Time taken by B = (4/5)*(15/2)= 6 hours

**A rational number between 3/4 and 3/8 is**

- 16/9
- 9/16
- 12/7
- 7/3

**Answer: Option B**

**Explanation: **3/4 = (3 * 4)/(4 * 4) = 12/16 3/8 = 6/16 ⇒ 6/16,7/16,8/16,9/16,10/16,11/16,12/16 ⇒ Required rational number = 9/16.

**The number of ways in which letters of the word PRAISE be arranged**

- 500
- 1200
- 200
- 700

**Answer: Option A**

**Explanation: **Let the prices of school bag and shoes is 7x and 5x.

Given that 7x – 5x = 200 ⇒ 2x = 200 ⇒ x = 100.

So the price of a pair of shoes = 5x = 5 * 100 = 500

**A sum of Rs. 300 is divided among P, Q and R in such a way that Q gets Rs. 30 more than P and R gets Rs. 60 more than Q. The ratio of their share is**

- 3 : 2 : 5
- 2 : 5 : 3
- 5 : 3 : 2
- 2 : 3 : 5

**Answer: Option D**

**Explanation:** Q = P + 30 ⇒ Q – P = 30 and R – Q = 60 = 2 × 30

⇒Required ratio = 2 : 3 : 5

Look : 3 – 2 = 1, 5 – 3 = 2

**The product of two co-prime numbers is 117. Then their L.C.M. is**

- Rs 3
- Rs 39
- Rs 117
- Rs 9

**Answer: Option C**

**Explanation: **HCF of two prime numbers =1

∴ Product of numbers = HCF * LCM

LCM = 117

**The diameters of two circles are the side of a square and the diagonal of the square respectively. The ratio of the areas of the smaller circle and the larger circle is**

- √2 : √3
- 1 : √3
- 1 : 2
- 1 : 4

**Answer: Option C**

**Explanation: **Side of square = x units

Diagonal of square =√2x units

Radius of smaller circle =x/2 units

Radius of larger circle =√2x/2=x/√2 units

⇒ Required ratio of areas = π(x^{2}/4).π(x^{2}/2)

= 2 : 4 = 1 : 2

**The total surface area of a sphere is 8π square unit. The volume of the sphere is**

- (8√3)π cubic unit
- (8√3/5)π cubic unit
- (8√2/3)π cubic unit
- (8/3) π cubic unit

**Answer: Option C**

**Explanation: **Surface area of sphere = 4πr^{2} ⇒ r^{2} = 2 ⇒ r ⇒√2 units

⇒ Volume of sphere

=(4/3)πr^{3}=(4/3)π * (√2)^{3}=(8√2/3)πcubic units

**A conical flask is full of water.The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is**

- (2h)/m
- h/(3m
^{2}) - m/(2h)
- (h/2).m
^{2}

**Answer: Option B**

**Explanation: **Volume of water in conical flask =(1/3)πr^{2}h

If the height of water level in cylindrical flask be H units, then πm^{2}r^{2}H =(1/3)πr^{2}h

⇒H=(1/3).((πr^{2}h)/(πm^{2}r^{2}))= h/(3m^{2})

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