Q1. The monthly expenses in a boarding house are partly fixed and partly a multiple of the number of boarders. It is Rs. 78660 and Rs 94884 when the numbers of borders are 62 and 75 respectively. What is the monthly expense (in Rs) when the number of borders is 80?
What is the sum (in Rs) which when divided among A, B, C, D in the proportion 2:3:5:8 provides R.s. 8420 less to D than what it provides to him when the proportion is 1/2 : 1/3 : 1/5 : 1/8
Q3. A number is divided by 1001 (=7*11*13) and it was divided in succession by 7,11 and 13, to obtain the remainders 4,6 and 12 respectively. What would have been the remainder if the number was divided directly by 1001? A. 828 B. 982 C. 764 D. 970
Q4. At an election between two candidates A and B, all the eligible candidates had voted, but 4% of votes were not valid. A, the winner got support from 52% of the voters and defeated B by 600 votes. What was the total number of votes?
Q6. The average speed of X always turns out to be 150% that of Y, who can travel 20 km in 3 hr 36 min. If X sets on a journey of 150 km and stops for half an hour each at two stages in between, what will be the total time (in hours) he had been on move? A. 15 B. 17 C. 13.5 D. 16.5
Q7. The radius of a solid sphere and a solid right circular cone are equal and the height of the cone is equal to the diameter of its base. They are melted and the combined matter is recast into a solid hemisphere. What is the ratio of the radius of the hemisphere to that of the circle?
Q8. A sum invested in a scheme where the interest gets compounded quarterly grows to Rs.140000 and Rs.157304 respectively in 15 and 21 months respectively. What is the interest per annum? A. 6 B. 12 C. 24 D. 15
Q9. The average rainfall (in mm) in a city during the months, March to October, of a year calculated over a period of ten years is presented in a tabular form below.
Months
Mar
April
May
June
July
Aug
Sep
Oct
Rainfall
44
56
154
312
333
350
288
147
What is the ratio of the average rainfall for the months having three-figure data to that of the same for the rest?
Q10. A person gains Rs.357 on selling a tablet at 13% gain and a chair at 6% gain. If he sells the table at 15% gain and the chair 8% loss, he gains Rs.203. What is the actual cost of the chair? A. 2200 B. 2100 C. 2400 D. 1400
Q12. A rural library created lending facilities for only 100 books and kept the lending desk open only on Mondays, which were the days on which it is also took stock of the books. The position of the number of the books lent (L) and returned(R) on the first three Mondays (M1,M2,M3) of operation in the lending desk is presented through a bar graph below.
How many of these 100 books remained outside the library after stock checking on the third monday? A. 30 B. 50 C. 60 D. 40
Q13. In a factory, the coefficients of variation of the wages of urban and rural workers are 52% and 66% respectively and their standard deviations are 2600 and 2640 respectively. If 60% of the workers are urban, what is the overall average wage (in Rs) of the workers? A. 4450 B. 4350 C. 4600 D. 4200
Q15. X working alone takes 75 days more than Y to do a work, and working together they complete it in 20 days. If a certain sum has been earmarked as wages for his work, in what ratio should it get distributed among X and Y? A. 2 : 5 B. 2 : 3 C. 1 : 5 D. 1 : 4