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Quantitative Aptitude Quiz For SBI PO Prelims 2022- 07th November

Directions (1-5): In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option:

Q1. Ratio of age of Anurag and Bhumi is 6 : 7 and Dharmendra : Ekta is 9 : 5. Ratio of average age of Anurag, Bhumi, Dharmendra& Ekta to age of Chiru is 9 : 10
Quantity I- If ratio of age of Bhumi and Dharmendra is 7 : 9 and age of Chiru is 6 years less than age of Dharmendra, then age of Chiru.
Quantity II – If ratio of age of Bhumi and Dharmendra is 7 : 9 and age of Chiru is 6 years less than age of Dharmendra, Average age of Anurag& Dharmendra.
(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

Q2. Two vessels A & B contains (x + 16) ℓ and (x + 56) ℓ mixture of milk and water respectively. If 20% from mixture from vessel A &46⅔% mixture from Vessel B taken out remaining mixture in both vessels become equal.
Quantity I – If ratio of milk to water in vessel A & B is 5 : 3 & 7 : 5 respectively, then total quantity of milk in both vessel.
Quantity II – 140% of total quantity of mixture in vessel A.
(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

Q3. Radius of cone is 4 cm less than side of square of which area is 324 cm². Height of cone is 5 cm more than radius of circle, whose circumference is 44 cm.
Quantity I –Volume of cone.
Quantity II –2488 cm³
(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

Q4. Quantity I –x² – 21x + 108 = 0
Quantity II – x² – 30x + 216 = 0
(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. 240 meters & 210 meters long trains running in opposite direction cross each other in 6 sec. Ratio between speed of longer train and smaller train is 7 : 8 and faster train cross a platform in 9 sec.
Quantity I – Time taken (in sec) by slower train to cross a bridge, which is 60 meters longer than platform.
Quantity II –16 sec
(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

Directions (6-10): Each of the following question is followed by two statements I, and II. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
(a) Only Statement I alone.
(b) Only Statement II alone.
(c) Both Statements I and II together.
(d) Neither Statement I nor II is sufficient.
(e) Either Statement I or II alone.

Q6. What is the time taken by Saif to cover a distance of 100 km by car?
I. Saif covers a distance of 100 km in 5 hours using bike.
II. speed of bike and that of car is in ratio 5:7.

Q7. In how much time can Deepika do the work alone?
I. Kareena & Deepika can complete a piece of work in 10 days working together.
II. Madhuri and Kareena can complete the work in 6 days working together.

Q8. In how many ways can 4 boys and 5 girls be selected?
I. there are 20 persons (boys + girls) in the group out of which 12 are boys.
II. the ratio of boys to girls in the group is 3:2.

Q9. What is the volume of conical tent?
I. the height and radius of tent is in ratio 4:3, where sum of radius and height is 14m.
II. the slant height is 13 cm while radius is 5 cm.

Q10. Find the value of a and b?
I. a:b = 3:2
II. a³- b³=19

Directions (11-15): The following questions are accompanied by two Quantities I and II. You have to determine relationship between both the quantities and choose an answer from given five options below:
(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

Q11. A solid body is to be packed in a cuboidal box.
Quantity I – Minimum volume of cuboidal box used for packaging, if solid body is sphere of radius 5 cm.
Quantity II – Minimum volume of cuboidal box used for packaging, if solid body is hemisphere of diameter 13 cm.

Q12. Quantity I– x: 6x² + 5x + 1 = 0
Quantity II– y: 20y² + 9y + 1 = 0

Q13. Quantity I – Twenty-four men can complete a work in sixteen days while Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Extra no. of men is to be added to complete the remaining work in 2 days.
Quantity II – Number of ways in which letters of word ‘ETEQUETTE’ be arranged so that consonants occupy only odd positions.

Q14. Quantity I– x: 2x² – 7x + 6 = 0
Quantity II– y: 2y² – y– 1= 0

Q15. Quantity I–Raj invested Rs. 15000 in scheme ‘A’ at rate of 18% p.a. simple interest for 3 years and Riya invested Rs. 18000 in scheme ‘B’ which offers 15% p.a. compound interest in 2 years. The difference between the interest earned in two schemes.
Quantity II–In 2017, A village consist of males and females in the ratio of 5: 4. If the
difference between number of males and number of females in the year 2017 is 990 and population increases by 10% every year. Number of males in 2018 if the ratio between males and females remains same every year?

Solutions

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