RBI Assistant Prelims Quantitative Aptitude Mini Mock-4: Caselet, and Word Problem

Q1. Shivam started a business with an investment of Rs. 24000. After T months Ayush joined him with an investment of Rs. 30000. If at the and of the year the profit share of Shivam is Rs. 9600 out of total profit of Rs. 19600, then find the value of T.
(a) 4
(b) 6
(c) 10
(d) 8
(e) 2

Q2. How much percentage above the cost price should a shopkeeper marks his goods so that after giving a discount of 20%, he gains a profit of 10%.
(a) 45%
(b) 25%
(c) 37.5%
(d) 42.5%
(e) 35%

Q3. How many four-letters words containing 2 vowels and 2 consonants can be formed using the letters of the word REGION so that vowels always occur together?
(a) 54
(b) 96
(c) 72
(d) 108
(e) 124

Q4. There are 16 apples in a box out of which 7 are rotten. If two apples are drawn at random from the box, then what is the probability of getting both the apples which are not rotten?
(a) 3/10
(b) 3/5
(c) 7/10
(d) 9/16
(e) 7/16

Q5. By selling 12 toffee for a rupee, a shopkeeper loses 20%. In order to gain 20% in the transaction, he should sell the toffees at the rate of how many toffees for a rupee?
(a) 8
(b) 6
(c) 4
(d) 3
(e) 10

Q6. A starts a business with an investment of Rs. 24000, after 4 months B joined him with investment of Rs. 20000 and after another four months, C joined him with an investment of Rs. 30000. Find the ratio of profit share of A, B and C at the end of the year.
(a) 9:5:15
(b) 36:20:15
(c) 12:20:5
(d) 4:3:5
(e) 7:4:3

Q7. In how many ways can the letters of the word ELECTION be arranged?
(a) 10080 ways
(b) 30240 ways
(c) 13440 ways
(d) 20160 ways
(e) 6720 ways

Q8. Three coins are tossed simultaneously. What is the probability of getting atleast two Heads?
(a) 1/4
(b) 3/4
(c) 1/8
(d) 5/8
(e) 1/2

Q9. Cost price of two articles is same. If one article is sold at 20% profit and second at a price of Rs. 7000, then he gains a total profit of 20/3% by selling both articles. Find the cost price of each article.
(a) Rs. 5000
(b) Rs. 7500
(c) Rs. 8400
(d) Rs. 7000
(e) Rs. 6000

Q10. Mohit invests Rs. 60000 in a business. After 4 months, Maanik joined him with some investment. At the end of the year the profit sharing ratio of Mohit to that of Maanik is 6:5. Find the investment of Maanik.
(a) Rs. 72000
(b) Rs. 90000
(c) Rs. 96000
(d) Rs. 75000
(e) Rs. 65000

Directions (11-15): Study the data carefully and answer the following questions.
In a class of 200 Kids, 120 Kids play cricket and 20 Kids play all the three sports i,e cricket football and basketball. Among 200 Kids 30 Kids play only football, 15 Kids play only football and cricket and there are 45 Kids who play only cricket. Number of Kids playing only football and basketball together is same as number of Kids playing basketball only.

Q11. What is number of kids playing only basketball?
(a) 20
(b) 25
(c) 30
(d) 35
(e) 15

Q12. What is total number of kids playing at least 2 sport?
(a) 90
(b) 80
(c) 100
(d) 110
(e) 70

Q13. What is number of kids playing at most 2 sports?
(a) 120
(b) 140
(c) 160
(d) 180
(e) 100

Q14. Student playing football is what percent of total students playing only one sport?
(a) 60%
(b) 70%
(c) 80%
(d) 90%
(e) 65%

Q15. What is difference between number of students playing all the three sports and player playing only football?
(a) 10
(b) 5
(c) 15
(d) 20
(e) 8

Solution: