Quantitative Aptitude Quiz For LIC AAO Mains 2023-23rd February

Directions (1-5): Calculate Quantity I and Quantity II on the basis of the given information then compare them and answer the following questions accordingly.

Q1. Quantity I: How many days A would require to complete the work, working alone.
If two workers A and B working together completed a job in 5 days and if A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days.
Quantity II: Arun completes 2/3 of a certain job in 6 days. Lakshya can complete 1/3 of the same job in 8 days and Pulkit can complete 3/4 of the work in 12 days. All of them work together for 4 days and then Arun and Pulkit quit. How long will it take for Lakshya to complete the remaining work alone?
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II

Q2. Quantity I: A boat can travel ‘x’ km upstream in 4 hours and ‘y’ km downstream in 3 hours. If the speed of boat in still water is 5 km/h and the boat can travel a distance of ‘x+y’ km downstream in 4 hours, then find the speed of stream?
Quantity II: If time taken to cover (D+11) km upstream is thrice the time taken to cover (D–3) km downstream. If ratio of speed of boat in upstream to the downstream is 3 : 7 and time taken to cover (D+18) km downstream is 2.5 hours what will be the speed of current?
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II

Q3. Quantity I: The respective ratio between the present ages of son, mother, father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother is 27 yr. What will be mother’s age after 7 yr?
Quantity II: The age of the father 5 years ago was 5 times the age of his son. At present the father’s age is 3 times that of his son. What is the present age of the father ?
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II

Q4. Quantity I: C’s share, if Rs. 3000 distributed among A, B and C such that A gets 2/3rd of what B and C together get and C gets 1/2 of what A and B together get
Quantity II: Aman’s share, if Rs. 2250 is divided among three friends Aman, Bijoy and Chandra in such a way that 1/6 th of Aman’s share, 1/4 thof Bijoy’s share and 2/5 th of Chandra’s share are equal.
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation

Q5. A boat sails down the river for 10 km and then up the river for 6 km. The speed of the river is 1 km/hr.
Quantity I: Speed of boat in still water, if for the whole trip it takes 4 hours.
Quantity II: 4 km/hr
(a) Quantity I > Quantity II
(b) Quantity I < Quantity II
(c) Quantity I ≥ Quantity II
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation

Direction (6-10): The following questions are accompanied by two statements I and II. You have to determine which statements(s) is/are sufficient/necessary to answer the questions.
(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.
(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.
(c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.
(d) Either statement I or statement II by itself is sufficient to answer the question.
(e) Statements I and II taken together are not sufficient to answer the question.

Q6. In a building there are 40 rooms. 1/4 th of the total rooms available have both bulb and fan. And the remaining rooms have either bulb or fan but not both. Find the difference between number of rooms having bulb but not fan and the room having fan but not bulb.
I. Number of rooms having bulb is 2/3 rd of total number of rooms having fan.
II. Rooms having only fan is twice of the rooms having bulb only.

Q8. A shopkeeper marked up an article 80% above the cost price and after providing some discount, sold it at a profit of Rs 500. Find the cost price of that article.
I. Profit is Rs 40 more than the discount provided.
II. Ratio of selling price to that of cost price is 17:12.

Q9. A, B and C entered into a partnership and the total amount invested by all the three is Rs 8100. And total profit earned by all of them is Rs. 42000. Find the profit of B if all three invested for a whole year.
I. B invested 1/3 rd of the total amount invested and ratio of profit of A to that of C is 4:5.
II. A invested 80% of the amount invested by C and B invested Rs 300 less than that of C.

Q10. In a bag there are balls of three different colors i.e. red, black and white. Find the probability of choosing a red ball from that bag?
I. Number of black ball is equal to the average of number of white and red ball in that bag and probability of choosing a white ball is 2/9.
II. Difference of the probability of choosing a black ball and the probability of choosing a red ball is 1/9.

Directions (11-15): The following questions are accompanied by two statements (A) and (B). You have to determine which statement(s) is/are sufficient /necessary to answer the questions
(a) if the Statement ‘A’ alone is sufficient to answer the question but the Statement ‘B’ alone is not sufficient
(b) if the Statement ‘B’ alone is sufficient to answer the question but the Statement ‘A’ alone is not sufficient
(c) if both Statement ‘A’ and ‘B’ together are needed to answer the question
(d) if either the Statement ‘A’ alone or Statement ‘B’ alone is sufficient to answer the question
(e) if you cannot get the answer from both the Statements together

Q12. If X, Y and Z together can complete the work in 8 days, find in how many days Y alone can complete the work?
A) X and Y together can complete the work in 12 days while Z is 25% less efficient than ‘X’.
B) Z is 50% more efficient than ‘Y’ who is 100% less efficient than ‘X’.

Q13. What will be the speed of boat if A is the starting point and B is the destination point?
A) Man go to a point B and come back to initial point A in total 12 hours while the ratio of speed of boat to speed of stream is 3 : 2.
B) Man reached at mid-point of A and B in 5 hour and then go to point B and come back to mid-point of A and B in total 6 hours while speed of stream is 10 km/hr.

Q14. Three numbers are co-prime to each other. Find the sum of these numbers?
A) Product of first two number is 286 while the product of last two numbers is 470.
B) Sum of first two number is 35 while the sum of last two number is 57.

Q15. Find the sum of digits of given two-digit number?
A) If we interchange the numbers then the new number formed is greater than the original number by 9.
B) If we interchange the number then product of new number and original number is 1462.

Solutions