Quantitative Aptitude Quiz For LIC AAO Mains 2023- 12th March

Directions (1-5): What will come in place of (?) question mark in the following questions?

Q6. A solid spherical vessel of radius 63cm is full of water. Water from the spherical vessel is emptied completely into X number of cylindrical vessel and Y number of hemispherical vessel. Radius of hemispherical vessel and cylindrical vessel is same and radius of spherical vessel is 200% more than that of hemispherical vessel. If height of cylindrical vessel is 10cm, then which of the following is the possible value of (X, Y).
(I) (20, 42)
(II) (35, 29)
(III) (16, 51)
(IV) (21, 39)
(V) (30, 32)
(a) Only III
(b) Only I & II
(c) Only IV & I
(d) Only I, II & V
(e) None of the above.

Q7. X number of men can complete a piece of work in 5 days and Y number of women can complete same piece of work in 5 days. 5 men and 4 women working together can complete same piece of work in 6 days. If efficiency of a woman is 87.5% more than efficiency of a man, then find in how many days (X + Y) men and (X – Y) women working together can complete 289% of the same work.
(a) 9 days
(b) 5 days
(c) 6 days
(d) 8 days
(e) 7 days

Q9. Average of 60 positive integers is 8. If 45 of these integers are not more than 8, then find the maximum possible average of these 45 integers.
(a) 8
(b) 7
(c) 7 ½
(d) 7 ⅔
(e) 7 ⅓

Q10. In how many ways the alphabet of word “MARVELLOUS” be arranged, such that word always start with a consonant and end with S and all vowels come together?
(a) 4320 ways
(b) 5760 ways
(c) 7200 ways
(d) 2880 ways
(e) None of the above.

Q11. A drives out at 40 km/hr in the dessert on a road and returns over the same road at 30 km/hr and takes less than 6 hours? Then find which of the following can be the possible value (s) of distance (distance is an integral value divisible by 8)?
I. 16 II. 24 III. 40 IV. 48 V.72
(a) Only III and IV
(b) Only I, II and III
(c) Only IV and V
(d) Only II and III
(e) None of these

Q12. Ratio of quantity of milk to that of water in the mixture is 2: 5. When x lit of milk is added to the mixture, ratio of milk to water becomes 2: 3 and when 20 lit of water is further added to the mixture, ratio of milk to that of water becomes 1: 2. Find the value of x?
(a) 20 lit
(b) 16 lit
(c) 18 lit
(d) 24 lit
(e) 12 lit

Q13. Veer has two articles of the same cost price. He has sold both articles to Ayush at Rs 320 each. Ratio of profit % on first article (calculated on CP) to profit % on second article (calculated on SP) is 8: 5. Ayush sold the first article at Rs Z and earns a profit which is 20% less than profit earned by Veer on first article?
(a) Rs 408
(b) Rs 436
(c) Rs 424
(d) Rs 416
(e) Rs 420

Q14. Shivam alone can do a work in 12 days and Maanik alone can do it in 15 days. Both started the work together and after working for 4 days, Shivam left the work. After 2 more days, Veer joins Maanik and the whole work is completed in 2 days more than the time taken by Shivam and Maanik together to do that work. Find the time taken by Veer alone to do that work?
(a) 36 days
(b) 24 days
(c) 30 days
(d) 27.5 days
(e) 20 days

Q15. Amit lends Rs. 1725 at the beginning of a year at a certain rate of interest at SI. After 4 months, he lends a sum of Rs 1075 at a rate 7% more than the earlier rate of interest at SI. At the end of the year, if difference between the interest received from both the amounts is Rs 30.5 then, find the rate of interest at which second sum is invested?
(a) 12%
(b) 13.5%
(c) 22.5%
(d) 17.5%
(e) 15%

Solutions