Q1. If 9 men or 15 women can do a piece of work in 18 days working 9 hours a day. How many days will it take to complete a work twice as large with 6 men and 8 women working together 6 hours a day?
(a) 22 days
(b) 27.5 days
(c) 45 days
(d) 22.5 days
(e) 40 days
Q2. A boat takes 92 min less to travel a distance from A to B downstream than time taken by the same boat in upstream from B to C. if the distance between A and B is 6 km less than B and C, find the distance between A and B. Given that speed of the boat in still water is 24 kmph and speed of current is 6 kmph.
(a) 54 km
(b) 60 km
(c) 50 km
(d) 64 km
(e) 75 km
Q3. A box contains 4 black pens, 6 red pens, 2 green pens and 1 blue pen. If one is picked at random, what will be the probability that picked pen is either blue or red?
Q4. A shopkeeper bought 120 chairs at the rate of Rs 350 per chair. He spent Rs 3000 on transportation and packing. If he marks the price of chair at Rs 490 and gives a discount of on mark price, then find his profit percentage.
Q5. Amit opened a workshop by investing Rs. 60000. He invested additional amount of Rs. 8000 at the end of every year. After 2 years Hemant joined him with an amount of Rs. 80000. Thereafter Hemant did not invest any additional amount. Find the difference between their shares in profit, if total profit at the end of 4 years is Rs. 35000.
(a) Rs 10000
(b) Rs 12500
(c) Rs 85000
(d) Rs 75000
(e) Rs 90000
Directions (6-10): Given below in each question there are two statements (I) and (II). You have to determine which statement is/are sufficient to give the answer of question. Also, there are five alternatives given, you have to choose one alternative as your answer of the questions.
(a) Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question.
(b) Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.
(c) Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.
(d) Either statement I alone or statement II alone is sufficient to answer the question.
(e) Statements I and II together are not sufficient to answer the question.
Q6. What will be the cost price of article?
I. Article is marked 50% above the cost price and discount allowed is Rs.400 more than the loss incurred on the article.
II. Ratio of discount allowed on article to selling price of the article is 21 : 39 and loss incurred on article is Rs.20.
Q7. Find the volume of the cone.
I. Slant height of the cone is 35 cm and curved surface area of cone is 2310 cm2.
II. Height of the cone is 7 cm more than radius of the cone.
Q8. A bag has 6 red balls, x green balls and 4 white balls. Find the number of green balls in the bag.
I. When 2 balls are picked up randomly from the bag, then the probability of both balls being green is 2/21.
II. When 2 balls are drawn randomly from the bag, then the probability of 1 ball being red and 1 ball being white is 8/35.
Q9. A, B & C working together can complete a piece of work in 9 days. No. of days taken by A alone to complete the whole work.
I. B & C working together can complete same piece of work in 12 days.
II. B can complete same piece of work in 20 days and C is 20% more efficient than A.
Q10. Find speed of boat in still water.
I. A boat takes 8 hours to cover 40km in upstream and 60km in downstream.
II. Ratio of speed of boat in still water to speed of stream is 7 : 3.
Directions (11-15): – Dharam invest some amount in ICICI bank at 10% per annum at C.I. for two years and get Rs. 420 as total interest. If he withdrew his sum one year after from ICICI and invested in HDFC bank at R% per annum at C.I for two years, the sum would become Rs.3168. Rate of interest for SBI is 25% more than that of HDFC.
Q11. If amount invested in HDFC or SBI bank is equal to amount invested in ICICI initially, find ratio of simple interest earned in two years for HDFC to S.I. earned for SBI in two years?
(e) None of these.
Q12. Rate of ICICI bank is how much percent more/less than rate of interest of HDFC bank?
(a) 50% more
(b) 25% more
(c) 50% less
(d) 25% less
(e) 20% less
Q13. What is the difference between total amount incurred in two year from HDFC bank and ICICI bank at C.I.?
(a) Rs. 608
(b) Rs. 748
(c) Rs. 760
(d) Rs. 560
(e) Rs. 768
Q14. If Rs. 5000 is invested for three years at rate of interest of ICICI, HDFC and SBI for 1st, 2nd and 3rd year respectively. Find total interest earned at simple interest?
(a) Rs. 1500
(b) Rs. 3000
(c) Rs. 2075
(d) Rs. 2725
(e) Rs. 2750
Q15. What is the ratio between second year C.I. of ICICI and HDFC bank?