Deloitte Sample Aptitude Questions and Answers

Q1 Find the HCF of 18, 108, and 264

Q2 Find the smallest 4 digit number, when divided by 7, 9 and 11 leaves a remainder of 3, 5 and 7 in each case

Q3 If 43322K is exactly divisible by 72, what is K?

Q4 Find the remainder if 2^39 is divided by 7

Q5 Find the last digit of 587^1997

Q6 Find the last 2 digits of 2^265

Q7 In how many ways can the word MANGOES be arranged, in which A and N are at the extreme positions?

Q8 How many different 7 digit numbers can be formed using the digits 1, 3, 0, 3, 5, 3, 5 taking all at a time?

Q9 How many terms of the A.P. 1,4,7, are needed to give the sum 1001?

Q10 A single soul can merge with another soul in every second, and thus two souls get reduced to a single soul. If a soul cannot merge with another soul, then it becomes a ghost. Every soul tries not to become a ghost. On a particular day, there were (2^42000 - 1) souls. After how many seconds will all souls become ghosts?

Q11 A can do a piece of work in 4 days, B can do it in 20 days. With the help of C, they finish the work in 2 days. In how many days can C alone do the whole work?

Q12 A can do a piece of work in 20 days. If B is 80% more efficient than A, then the number of days required by B to do the same piece of work is:

Q13 In a village the average age of n people is 39 years. After verification, it was found that one person was 50 years older than his age considered in the average. The new average, after correction, increased by 1. The value of n is?

Q14 A train normally covers a certain distance at a speed of 100 km/hr. If it halts for a fixed time interval in each hour, its average speed reduces to 80 km/hr. What is the average time interval for which the train halts in each hour?

Q15 Monthly incomes of A and B are in the ratio of 5:4 and their savings are in the ratio of 4:3. If the expenditure of each is 600, then the monthly incomes of each are?

Q16 A traveled from B to C covering a total distance of 300 km in 9 hrs. He traveled by car at 25 km/h and the rest by train at 40 km/h. The distance traveled by car is:

Q17 The price of an item is increased by 40%. By what percent should the new price be decreased to bring it back to the original price?

Q18 The Indian cricket team played 20 one-day matches in a season and won 25% of the matches they played. If they wanted a minimum success rate of 75%, what is the minimum number of matches they would have to play more?

Q19 I went to buy a Maruti at Nurav Motors. The dealer offered me three discount options on the list price of 200000. Which option is the best for me?

Q20 A and B start a business with some investments. A as a working partner received 20% of the annual profits as salary and the remaining was equally divided among A and B. If the entire profit was divided among A and B in the ratio of their investments, A would have received 1000 rs less than what he actually got. B's share of the profit is 6000. If B's investment is 21000, what is A's investment?

Q21 Pointing to a photograph, Meera said, "He is the son of my grandfather's only son." How is Meera related to the boy in the photograph?

Q22 What comes as the next element in the series:
II, VI, X, XIV, XVIII, XXII, ?

Q23 A person walked 25m towards North, then took a left turn and walked 30m. The person again took a left turn and walked 25m. How far and in which direction is that person from the starting position?

Q24 What will be the next term in the following series?
A B B D C F D H EJ?

Q25 REPORT is related to UGSQUV in the same way as LONGER is related to

Q26 Ajay walked 2m towards east, took a right turn and walked 7m. He then took a left turn and walked 5m before taking a left turn and walking 7m. He then took a final right turn and walked 1m before stopping. How far is Ajay from the starting point?

Q27 Read the statements and arguments and select the appropriate option:


Statement:

Should cellphones be allowed to be used in the classroom?

Arguments:

I. Yes. Cell phones give students access to tools and apps that can help them complete and stay on top of their class work.

II. No. Cell phones can be used by students to access information while taking a test, leading to cheating.

Q28 Read the given information below and answer the questions that follow:

Six friends A, B, C, D, E, and F are sitting around the hexagonal table each at one corner and are facing the center of the hexagon. A is second to the left of F. B is a neighbor of C and D. E is second to the left of D.
Which one is sitting opposite to E?

Q29 Read the given information below and answer the questions that follow:

Six friends A, B, C, D, E, and F are sitting around the hexagonal table each at one corner and are facing the center of the hexagon. A is second to the left of F. B is a neighbor of C and D. E is second to the left of D.
Which of the following are the neighbors of D?

Q30 Read the given information below and answer the questions that follow:

Six friends A, B, C, D, E, and F are sitting around the hexagonal table each at one corner and are facing the center of the hexagon. A is second to the left of F. B is a neighbor of C and D. E is second to the left of D.
Who is the third person to the right of A?