Quantitative Aptitude Quiz For IBPS Clerk Mains 2023-09th October

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.

Solutions 

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