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# Quantitative Aptitude Quiz For SBI PO/Clerk Mains 2023- 3rd January

Q1. In each of the given two series, one number is wrong. Also, some relationships are given related to right number (which will come in the place of given wrong number) in both the series.
Series I – 24, 16, 20, 34, 72, 180, 556
Series II – 13, 76, 132, 180, 223, 258, 286
(A) difference of right numbers is divisible by 3.
(B) Sum of both the right numbers is divisible by 73.
(C) Both right numbers lie between 180 and 185.
(a) Only (A) & (C) correct
(b) Only (A) & (B) correct
(c) Only (B) & (C) correct
(d) All (A), (B) & (C) correct
(e) None of these is correct

Q2. Ratio between cost price of jeans & shirt is 6 : 5 and jeans & shirt marked up 25% and 50% above its cost price respectively. If difference between discount allowed on jeans and shirt is 40% and difference between selling price of jeans & shirt is Rs. 480, then find the cost price of jeans?
(a) Rs. 720
(b) Rs. 1920
(c) Rs. 480
(d) Rs. 960
(e) Rs. 640

Q3. Veer has total Rs.24000 as savings, out of which he gives (T)% to Anurag. From the remaining, he gives (T + 10)% to Maanik. If Veer spent Rs.2700 on rent and remaining 37 ½ % of total savings he deposited in bank at rate of (T + 5)% on SI for 1.5 years, then what is the total interest gets by Veer?
(a) 4750 Rs.
(b) 4250 Rs.
(c) 4500 Rs.
(d) 4050 Rs.
(e) 5250 Rs.

Q4. A man invested Rs. P at the rate of 10% per annum for three years on SI and Rs. Q at the rate of 20% per annum for two years on CI. If ratio of total SI to total CI get by man is 5:11, then which possible values will come in the place of P & Q?
(A) 1200 and 1800
(B) 600 and 900
(C) 400 & 800
(D) 300 & 450
(a) Only (A) & (B)
(b) Only (A) & (D)
(c) Only (B) & (D)
(d) All, (A), (B), (C) & (D)
(e) Only (A), (B) & (D)

Q5. ‘P’ is a set of perfect square numbers less than 60 and ‘Q’ is a set of composite odd numbers less than 25. Find probability of 6³ < (P²+ Q) < 11³.
(a) 6/7
(b) 3/5
(c) 2/7
(d) 3/7

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

Q8. Car – A left Delhi for Leh at 6:00 A.M. and car – B left Leh for Delhi at 8:00 A.M. At 10:00 A.M., distance between car – A & B is 20 km. Both cars crossed each other at 10:04 A.M. If speed of car – B is 20 km/hr. more than that of car – A, then find total time taken by car – A & B together to reach their respective destination.
(a) 12 ½ hours
(b) 10⅘ hours
(c) 14⅞ hours
(d) Cannot be determined.
(e) None of the above.

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 man invested Rs. (X) at the rate of (R)% p.a. on simple interest for two years and Rs. (X – 400) at the rate of (R + 7.5)% on compound interest for one year. If ratio of total simple interest to total compound interest gets by man is 11 : 8, then what will be possible value of (X) & (R)?
(a) 2400 & 12.5
(b) 1400 & 10
(c) 4400 & 15
(d) 4400 & 12.5
(e) 8000 & 7.5

Q12. Ayush invested Rs. x, While Veer invested 20% more amount then Ayush and he left the business after eight months, while Anurag joined them after some month with capital of Rs. 600 more than Veer. If profit share of Anurag is Rs. 3000 out of total profit of Rs. 7500 after one year, then what will value ‘x’ and time for Anurag invested?
(a) 2500 Rs. & 10 months
(b) 3000 Rs. & 10 months
(c) 2400 Rs. & 8 months
(d) 2000 Rs. & 10 months
(e) 2800 Rs. & 8 months

Q13. There are 11 bags numbered 1, 2, 3, ………., up to 11. Each bag is to be filled with either red balls or either blue balls such that at least one bag contains blue balls and the bags containing blue balls are alternatively numbered. Find number of ways in which it can be done?
(a) 32
(b) 48
(c) 64
(d) 36
(e) 28

Q14. Present age of Tanya and Deepak is in the ratio of______ respectively and present age of Deepak is _______ % more than present age of Shivam. Present average age of Tanya, Deepak and Shivam is 18 years. Present age of Tanya is _________ years.
Which of following options will satisfy the given fill in the blanks respectively.
(I) 5 : 12, 20%, 10 years
(II) 3 : 7, 20% 21 years
(III) 3 : 5, 25%, 13 years 6 months
(a) Only (I)
(b) Only (III)
(c) Only (I) & (II)
(d) Only (i) & (III)
(e) None of these

Q15. X² women can do a piece of work in 700 days and Y² women can do the same piece of work in 252 days. In how many days (4X × 3Y) women will do two times of same piece of work?
(a) 70 days
(b) 35 days
(c) 28 days
(d) 84 days
(e) None of these

Solutions