Statement Test-5 (A) Rs. 120 (B) Rs. 110 (C) Rs. 130 (D) Rs. 115 (E) None of these
13. A cone with diameter of its base as 36 cm is formed by melting a spherical ball
1. X starts his journey from point P at 9 : 00 am with speed of 20 km/hr and Y starts of diameter 18 cm. What is the height of the cone?
his journey from point Q at 1 : 00 pm with speed of 30 km/hr. They meet at point R (A) 9 (B) 6 (C) 4 (D) 8 (E) None of these
in between P and Q at 6 : 00 pm. Find the time at which X reach point Q. 14. Aastha took a loan at simple interest rate of 6% in the first year with an increase
(A)01 : 00 am (B)12 : 48 am (C)12 : 30 am (D)01 : 30 am(E) None of 0.5% in each subsequent year. She paid interest of Rs. 3375 after four years How
2. Justin and Keshav invested 2500 Rs. and 2600 Rs. into a business and after much loan did she take?
(x)and (12 – x)months they invested 2400 Rs. and 2400 Rs. more respectively. If at (A) Rs. 14460 (B) Rs. 14500 (C) Rs. 13000 (D) Rs. 12500 (E) None of these
the end of the year Justin got 3500 Rs. out of total annual profit of 7500, Then find 15. 'A’ can complete a work alone in 30 days. 'A’ and ‘B’ together can complete 80%
the value of X. of the same work in 15 days. Find the time taken by ‘B’ and ‘C’ together to complete
(A) 6 months (B) 7 months (C) 8 months (D) 4 months (E) None of these the work such that ‘C’ is thrice as efficient as ‘B’.
3. A solid block of metal whose length, width and height is in the ratio 2 : 3 : 5 and (A) 20 Days (B) 26 2/3 Days (C) 12 1/2 Days (D) 15 Days (E) None of these
after melting it 240 cubes of side 2 m can be made, Find the total surface area of 16. Two places M and N are 240 km apart. A starts from M to N, and B starts from N
larger metal block? to M at the same time. They meet after 4 hours of start. If the speed of A is 20 km/hr
(A) 978 m2 (B) 980m2 (C) 992 m2 (D) 956 m2 (E) None of these more than B. Find the speed of B.
4. The ratio between the population of M and N is 3 : 4 and there are 30% children in (A) 20 (B) 10 (C) 13 (D) 15 (E) None of these
village M and the ratio between males and females in rest is 9 : 5 while the ratio 17. The average age of five friends A, B, C, D and E is 54 years If the age of another
between males and females in village N is 5 : 7 and The remaining 40% are person F is also added, then average age of all six persons is 3 kg less than the
children. If the number of children in village N is 140 more than the number of average of the first five friends. Find theaverage age of A, C, D and F. If the average
children in village M, then find the difference between the number of males in age of B and E is 48 years.
village M and the number of females in village N. (A) 60 (B) 50 (C) 57.5 (D) 52.5 (E) None of these
(A) 16 (B) 12 (C) 10 (D) 8 (E) None of these 18. The cost price of an article is Rs. 900 and the marked price of the article Rs.
5. A solid cylinder of height 17.5 m and radius 4 m is cast into ‘N’ number of cubes 1100. If the profit percentage and the discount percentage is equal, then find the
of 20 cm. Find the value of N. profit earned on the article? (A) 90 (B) 120 (C) 140 (D) 115 (E) None
(A) 120,000 (B) 115,000 (C) 112,000 (D) 110,000 (E) None of these 19. The ratio of the ages of Ramesh and Ritu at the time of their marriage was 15 :
6. Shopkeeper made 12.5% profit on shirt and 16% profit on sweater and the ratio 11. They have a son after 2 years of marriage. When the age of the son will be 24
between cost prices of a shirt and a sweater is 16 : 25. If the average selling price is years, then the age of Ramesh will be 56 years. Find the age of Ritu at the time of
1645 Rs. find the difference between there cost prices marriage. (A) 22 years (B) 33 years (C) 11 years (D) 15 years (E) None of these
(A) 630 Rs. (B) 618 Rs. (C) 642 Rs. (D) 656 Rs. (E) None of these 20. Manish first travels 343 km by train at a speed of 98 km/hr. Then travels 205 km
7. Each month, Sania out of her monthly salary pays 25% towards rent and 40% of by car at a speed of 82 km/hr and travels the remaining 224 km by bike at a speed
the remaining salary to her mother. She spends 40% of the remaining amount and of 56 km/hr to reach his destination. Find the average speed of Manish during the
saves the remaining in her bank account. If at the end of five months she has saved whole journey.
in her bank account ₹1,08,000 then how much did she pay towards rent per month? (A) 76.4 km/hr (B) 72.8 km/hr (C) 73.6 km/hr (D) 77.2 km/hr (E) None of these
A. ₹30,000 B. ₹24,000 C. ₹16,000 D. ₹18,000 E. ₹20,000 21. A box contain 5 Red balls, 6 White balls and 9 Green balls. 2 balls are randomly
8. The difference between the areas of a rectangle and a square is 35 .If the drawn from the box. What is the probability that the balls are different colors? (A)
rectangle's length and breadth are 50% more and 10% less respectively than the 9/38 (B) 9/22 (C) 5/19 (D) 6/19 (E) None of these
side of the square then what is the rectangle's area? (in cm2) 22. The perimeter of the floor of a room is 48 m and its height is 8 m. Find the area
A. 100 B. 135 C. 145 D. 85 E. 105 of the four walls of the room.
9. A jar contains 48 litres of milk and 'X' litres of water. If a new mixture containing (A) 383 m2 (B) 384 m2 (C) 384 m2 (D) 388 m2 (E) None of these
‘2X’ litres of milk and ‘3X’ litre water is added to the jar, then the final quantity of 23. The ratio of milk and water in a container is 7 : 3. 30 liters of the mixture is sold
this mixture becomes 60 litre. What was the quantity of milk in the final mixture? (in and 15 liters of pure milk and 15 liters of water are added to the remaining mixture,
litres) A. 54 B. 48 C. 52 D. 45 E. 42 then the ratio of milk and water in the final mixture becomes 5 : 3. Find the
10. 'A’ and ‘B’ together can complete a work in 18 days while ‘B’ alone takes 60 difference between the amount of milk and water in the initial mixture.
days to complete the work. 'A’ started the work alone and after 25 days joined by (A) 32 L (B) 34 L (C) 36 L (D) 38 L (E) None of these
‘B’. Find the total time taken to complete the work this way. 24. The efficiency of Q is 3 times that of P. Together they can complete the work in
(A) 20 days (B) 25 (1/2) days (C) 13 (3/5) days (D) 15 days (E) None of these 7.5 days. If the efficiency of R is 30% of the efficiency of P and Q together, then in
11. Speed of boat ‘Q’ in still water is equal to upstream speed of boat ‘P’. If boat ‘Q’ how many days will R alone complete the work?
can travel 380 Km downstream in 9.5 hours, then find the time taken by boat ‘P’ to (A) 24 days (B) 25 days (C) 26 days (D) CND (E) None of these
travel 330 km downstream in a stream whose speed 15 Km/hr. 25. An election was contested between two candidates A and B. 10% of the total
(A) 9 (B) 4 (C) 6 (D) 10 (E) None of these votes cast did not turn up to vote and 20% of the votes polled were declared
12. An article whose cost price Rs. 950 is marked up by Rs. 550 above its cost price invalid. The winner gets 40% of the total votes in the electoral roll. If the difference
and then sold after giving two successive discount of 10% and 20%, respectively. of votes between the winner and the loser is 180, then find the number of valid
Find the amount gained/lost in the transaction.
votes. (A) 2250 (B) 1860 (C) 1580 (D) 1620 (E) None of these
13. A cone with diameter of its base as 36 cm is formed by melting a spherical ball
1. X starts his journey from point P at 9 : 00 am with speed of 20 km/hr and Y starts of diameter 18 cm. What is the height of the cone?
his journey from point Q at 1 : 00 pm with speed of 30 km/hr. They meet at point R (A) 9 (B) 6 (C) 4 (D) 8 (E) None of these
in between P and Q at 6 : 00 pm. Find the time at which X reach point Q. 14. Aastha took a loan at simple interest rate of 6% in the first year with an increase
(A)01 : 00 am (B)12 : 48 am (C)12 : 30 am (D)01 : 30 am(E) None of 0.5% in each subsequent year. She paid interest of Rs. 3375 after four years How
2. Justin and Keshav invested 2500 Rs. and 2600 Rs. into a business and after much loan did she take?
(x)and (12 – x)months they invested 2400 Rs. and 2400 Rs. more respectively. If at (A) Rs. 14460 (B) Rs. 14500 (C) Rs. 13000 (D) Rs. 12500 (E) None of these
the end of the year Justin got 3500 Rs. out of total annual profit of 7500, Then find 15. 'A’ can complete a work alone in 30 days. 'A’ and ‘B’ together can complete 80%
the value of X. of the same work in 15 days. Find the time taken by ‘B’ and ‘C’ together to complete
(A) 6 months (B) 7 months (C) 8 months (D) 4 months (E) None of these the work such that ‘C’ is thrice as efficient as ‘B’.
3. A solid block of metal whose length, width and height is in the ratio 2 : 3 : 5 and (A) 20 Days (B) 26 2/3 Days (C) 12 1/2 Days (D) 15 Days (E) None of these
after melting it 240 cubes of side 2 m can be made, Find the total surface area of 16. Two places M and N are 240 km apart. A starts from M to N, and B starts from N
larger metal block? to M at the same time. They meet after 4 hours of start. If the speed of A is 20 km/hr
(A) 978 m2 (B) 980m2 (C) 992 m2 (D) 956 m2 (E) None of these more than B. Find the speed of B.
4. The ratio between the population of M and N is 3 : 4 and there are 30% children in (A) 20 (B) 10 (C) 13 (D) 15 (E) None of these
village M and the ratio between males and females in rest is 9 : 5 while the ratio 17. The average age of five friends A, B, C, D and E is 54 years If the age of another
between males and females in village N is 5 : 7 and The remaining 40% are person F is also added, then average age of all six persons is 3 kg less than the
children. If the number of children in village N is 140 more than the number of average of the first five friends. Find theaverage age of A, C, D and F. If the average
children in village M, then find the difference between the number of males in age of B and E is 48 years.
village M and the number of females in village N. (A) 60 (B) 50 (C) 57.5 (D) 52.5 (E) None of these
(A) 16 (B) 12 (C) 10 (D) 8 (E) None of these 18. The cost price of an article is Rs. 900 and the marked price of the article Rs.
5. A solid cylinder of height 17.5 m and radius 4 m is cast into ‘N’ number of cubes 1100. If the profit percentage and the discount percentage is equal, then find the
of 20 cm. Find the value of N. profit earned on the article? (A) 90 (B) 120 (C) 140 (D) 115 (E) None
(A) 120,000 (B) 115,000 (C) 112,000 (D) 110,000 (E) None of these 19. The ratio of the ages of Ramesh and Ritu at the time of their marriage was 15 :
6. Shopkeeper made 12.5% profit on shirt and 16% profit on sweater and the ratio 11. They have a son after 2 years of marriage. When the age of the son will be 24
between cost prices of a shirt and a sweater is 16 : 25. If the average selling price is years, then the age of Ramesh will be 56 years. Find the age of Ritu at the time of
1645 Rs. find the difference between there cost prices marriage. (A) 22 years (B) 33 years (C) 11 years (D) 15 years (E) None of these
(A) 630 Rs. (B) 618 Rs. (C) 642 Rs. (D) 656 Rs. (E) None of these 20. Manish first travels 343 km by train at a speed of 98 km/hr. Then travels 205 km
7. Each month, Sania out of her monthly salary pays 25% towards rent and 40% of by car at a speed of 82 km/hr and travels the remaining 224 km by bike at a speed
the remaining salary to her mother. She spends 40% of the remaining amount and of 56 km/hr to reach his destination. Find the average speed of Manish during the
saves the remaining in her bank account. If at the end of five months she has saved whole journey.
in her bank account ₹1,08,000 then how much did she pay towards rent per month? (A) 76.4 km/hr (B) 72.8 km/hr (C) 73.6 km/hr (D) 77.2 km/hr (E) None of these
A. ₹30,000 B. ₹24,000 C. ₹16,000 D. ₹18,000 E. ₹20,000 21. A box contain 5 Red balls, 6 White balls and 9 Green balls. 2 balls are randomly
8. The difference between the areas of a rectangle and a square is 35 .If the drawn from the box. What is the probability that the balls are different colors? (A)
rectangle's length and breadth are 50% more and 10% less respectively than the 9/38 (B) 9/22 (C) 5/19 (D) 6/19 (E) None of these
side of the square then what is the rectangle's area? (in cm2) 22. The perimeter of the floor of a room is 48 m and its height is 8 m. Find the area
A. 100 B. 135 C. 145 D. 85 E. 105 of the four walls of the room.
9. A jar contains 48 litres of milk and 'X' litres of water. If a new mixture containing (A) 383 m2 (B) 384 m2 (C) 384 m2 (D) 388 m2 (E) None of these
‘2X’ litres of milk and ‘3X’ litre water is added to the jar, then the final quantity of 23. The ratio of milk and water in a container is 7 : 3. 30 liters of the mixture is sold
this mixture becomes 60 litre. What was the quantity of milk in the final mixture? (in and 15 liters of pure milk and 15 liters of water are added to the remaining mixture,
litres) A. 54 B. 48 C. 52 D. 45 E. 42 then the ratio of milk and water in the final mixture becomes 5 : 3. Find the
10. 'A’ and ‘B’ together can complete a work in 18 days while ‘B’ alone takes 60 difference between the amount of milk and water in the initial mixture.
days to complete the work. 'A’ started the work alone and after 25 days joined by (A) 32 L (B) 34 L (C) 36 L (D) 38 L (E) None of these
‘B’. Find the total time taken to complete the work this way. 24. The efficiency of Q is 3 times that of P. Together they can complete the work in
(A) 20 days (B) 25 (1/2) days (C) 13 (3/5) days (D) 15 days (E) None of these 7.5 days. If the efficiency of R is 30% of the efficiency of P and Q together, then in
11. Speed of boat ‘Q’ in still water is equal to upstream speed of boat ‘P’. If boat ‘Q’ how many days will R alone complete the work?
can travel 380 Km downstream in 9.5 hours, then find the time taken by boat ‘P’ to (A) 24 days (B) 25 days (C) 26 days (D) CND (E) None of these
travel 330 km downstream in a stream whose speed 15 Km/hr. 25. An election was contested between two candidates A and B. 10% of the total
(A) 9 (B) 4 (C) 6 (D) 10 (E) None of these votes cast did not turn up to vote and 20% of the votes polled were declared
12. An article whose cost price Rs. 950 is marked up by Rs. 550 above its cost price invalid. The winner gets 40% of the total votes in the electoral roll. If the difference
and then sold after giving two successive discount of 10% and 20%, respectively. of votes between the winner and the loser is 180, then find the number of valid
Find the amount gained/lost in the transaction.
votes. (A) 2250 (B) 1860 (C) 1580 (D) 1620 (E) None of these
