3977 + Mcqs in Applied Mathematics Page 31 McqOptions

1501.	Q: Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?
A.	40
B.	$$ {40\sqrt{3}}$$
C.	45
D.	$$ {60\sqrt{3}}$$
Answer» C. 45

Discussion

1502.	Q: Ramesh scored 73 marks in subject A . He scored 56% marks in subject B and X marks in subject C. maximum marks in each subject were 150. The overall percentage marks obtained by Ramesh in all the three subject together was 54%. How many marks did he score in Subject C?
A.	89
B.	84
C.	88
D.	86
Answer» E.

Discussion

1503.	Q: Ramesh sold a phone at a loss of 5%. Had he sold it for Rs. 200 more, he would gave gained 15%. To gain 25%, he should sell it for :
A.	Rs. 1175
B.	Rs. 1150
C.	Rs. 1225
D.	Rs. 1250
Answer» E.

Discussion

1504.	Q: Ramesh can do a work in 40 days. Rahul is 25% more efficient than Ramesh. Find the time to complete the work if they work together.
A.	$$ {160\over 9}$$
B.	$$ {130\over 7}$$
C.	$$ {236\over 5}$$
D.	32
Answer» B. $$ {130\over 7}$$

Discussion

1505.	Q: Ramesh deposited ₹ 15600 in a fixed deposit at the rate of 10 % per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is
A.	3744
B.	1872
C.	1716
D.	1560
Answer» B. 1872

Discussion

1506.	Q: Ramesh can do a work in 21 days and Mahesh in 42 days. If they work on it together for 7 days, then what fraction of work is left?
A.	$$ {1\over5}$$
B.	$$ {1\over4}$$
C.	$$ {1\over2}$$
D.	$$ {2\over3}$$
Answer» D. $$ {2\over3}$$

Discussion

1507.	Q: Raman took a loan of Rs. 15000 from Laxman. He was agreed that for the first three years rate of interest charged would be at 8% Simple Interest per annum and at 10% Compound Interest (compounded, annually) from the fourth year onwards. Ram did not pay anything until the end of the fifth year. How much would he repay if he clears the entire amount, only at the end of fifth year? (inRs.)
A.	Rs. 22506
B.	Rs. 22105
C.	Rs. 22900
D.	Rs. 22500
E.	Rs. 22450
Answer» B. Rs. 22105

Discussion

1508.	Q: Ram walks a certain distance and rides back taking a total time of 37 minutes. Ram could walk both ways in 55 minutes. How long would it take Ram to ride both ways?
A.	19.5 minute
B.	29 minute
C.	17 minute
D.	19 minute
Answer» E.

Discussion

1509.	Q: Ram travelled 1200 km by air which is formed of his trip. He travelled one-third of the trip by car and the rest by train. The distance (in km) travelled by train was
A.	480
B.	800
C.	1800
D.	1600
Answer» C. 1800

Discussion

1510.	Q: Ram started a business with a sum of Rs 600. After 3 months Shyam and after 6 months Mohan also become partners. If the profit at the end of the year was divided in the ratio of 4: 5: 3, then how much was Shyam's capital more than Mohan's capital.
A.	Rs.100
B.	Rs.150
C.	Rs.200
D.	Rs.300
Answer» B. Rs.150

Discussion

1511.	Q: Ram spends 40 % of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are ₹ 1500, then his salary per month (in ₹) is:
A.	6000
B.	10000
C.	8000
D.	7500
Answer» E.

Discussion

1512.	Q: Ram sold an article for Rs 380 at some profit. Had he sold it for Rs 300, then there would have been a loss equal to one-third at the initial point. What was the cost price of the article?
A.	320
B.	350
C.	420
D.	450
Answer» B. 350

Discussion

1513.	Q: Ram spends 20% of his monthly income on his household needs, 15% of the remaining income on books and 30% of the remaining income on clothes. Now he has Rs 9520 left, so what is his monthly income?
A.	Rs. 15000
B.	Rs.10000
C.	Rs. 20000
D.	None of these
Answer» D. None of these

Discussion

1514.	Q: Ram sells a car to Mohan at a profit of 16% and Mohan sells it to Shyam at a profit of 25%. How much profit% Ram would have got if he had sold the car directly to Shyam at the price Shyam bought it?
A.	0.41
B.	0.42
C.	0.45
D.	0.5
E.	None of these
Answer» D. 0.5

Discussion

1515.	Q: Ram sells two articles, each for the same price Rs.720. He incurs 20% loss on the first and 10% loss on the second. Find his overall percent loss.
A.	0.244
B.	0.21
C.	0.1529
D.	0.2316
Answer» D. 0.2316

Discussion

1516.	Q: Ram saves 14 % of his salary while Shyam saves 22 % . If both get the same salary and Shyam saves 1540, what is the savings of Ram?
A.	890
B.	880
C.	990
D.	980
Answer» E.

Discussion

1517.	Q: Ram’s present age is one-sixth of his father’s age. If the difference between their present ages is 35 years, what is his father’s present age?
A.	32 Years
B.	42 Years
C.	52 Years
D.	44 Years
Answer» C. 52 Years

Discussion

1518.	Q: Ram does a work in 40 days and Shyam does same work in 60 days. If efficiency of Mohan is 20% less than the combined efficiency of Ram and Shyam together then working alone Mohan will complete the whole work in how many days?
A.	32 days
B.	27.5 days
C.	24 days
D.	30 days
Answer» E.

Discussion

1519.	Q: Ram has 5 daughters. The average age of these 5 sisters is 28 years. The youngest one is 16 years old. What was the average age of the 4 daughters before the youngest one was born?
A.	28 years
B.	15 years
C.	31 years
D.	16 years
E.	20 years
Answer» C. 31 years

Discussion

1520.	Q: Ram deposited a certain sum of money in a company at 12 % per annum simple interest for 4 years and deposited equal amount in fixed deposit in a bank for 5 years at 15 % per annum simple interest. If the difference in the interest from two sources is ₹ 1350 than the sum deposited in each case is
A.	3000
B.	4000
C.	6500
D.	5000
Answer» E.

Discussion

1521.	Q: Ram and Shyam can do a work in 12 days, Shyam and Hari in 15 days, and Hari and Ram in 20 days. Accordingly, in how many days can Rama alone complete that work?
A.	30
B.	32
C.	36
D.	42
Answer» B. 32

Discussion

1522.	Q: Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?
A.	15 kmph
B.	35 kmph
C.	30 kmph
D.	25 kmph
E.	20 kmph
Answer» F.

Discussion

1523.	Q: Rakesh invests Rs. 8000 at some rate of interest. Being simple interest the money doubles in 5 years. Raj sees this and invests Rs. 6250 for 3 years at the same rate of interest. How much interest does Raj get?
A.	Rs. 3750
B.	Rs. 6250
C.	Rs. 3125
D.	Rs. 4250
Answer» B. Rs. 6250

Discussion

1524.	Q: Raju started business investing Rs. 75000. After 4 months Sanju joined the business with Rs. 112500. If at the end of the year total profit was Rs.4500, find Sanju’s share?
A.	2000
B.	2250
C.	2300
D.	2350
Answer» C. 2300

Discussion

1525.	Q: Raju, Rinku and Ram can do a piece of work in 6, 12, and 24 days respectively. In what time will they finish the work while working together ?
A.	$$ {3 {3\over 7}}$$
B.	$$ {2 {3\over 7}}$$
C.	$$ {4 {3\over 7}}$$
D.	$$ {3 {3\over 5}}$$
Answer» B. $$ {2 {3\over 7}}$$

Discussion

1526.	Q: Rajesh can do a work in 6 days and Vikram can do the same work in 5 days. The contract for the work is of Rs. 3300 . How much shall Vikram get if both of them work together?
A.	Rs.1800
B.	Rs.1500
C.	Rs.2000
D.	Rs.1200
Answer» B. Rs.1500

Discussion

1527.	Q: Rahul, Shyam and Rohan invested capital in the ratio of 2:3:4 for the time period of 6:4:3. Find the ratio of profit distributed?
A.	13:12:14
B.	12:13:14
C.	13:14:12
D.	None of these
Answer» E.

Discussion

1528.	Q: Rahul purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
A.	3.5
B.	4.5
C.	6.5
D.	5.6
Answer» E.

Discussion

1529.	Q: Rahul purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3:4 and in the second mixture it is 5:6. If he mixes the two given mixture and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4:5, the quantity of first mixture (whose ratio is 3:4) is required to make the 18 litres of the third kind of mixture is:
A.	5
B.	9
C.	6
D.	7
Answer» E.

Discussion

1530.	Q: Rahul plans to buy a scooter for his sister for which he saves Rs. 15625 at the start of every year for 3 year. If the rate of CI is 4% pa. then amount at which he plans to buy the scooter is (in Rs.)
A.	75489
B.	42751
C.	50726
D.	48563
Answer» D. 48563

Discussion

1531.	Q: Rahul can do a work in 20 days. Rahul and Shyam together do the same work in 15 days. If they are paid Rs. 400 for that then what is the share of each.
A.	Rs 300, Rs 100
B.	Rs 200, Rs 200
C.	Rs 250, Rs 150
D.	Rs 350, Rs 50
Answer» B. Rs 200, Rs 200

Discussion

1532.	Q: Rahul and Rohan enter into a partnership with their capitals in the ratio 7:9. At the end of 8th month, Rahul withdraws his capital. If they receive the profits in the ratio 8:9, find how long Rohan’s capital was used.
A.	4 month
B.	6 month
C.	7 month
D.	8 month
Answer» D. 8 month

Discussion

1533.	Q: Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?
A.	10000
B.	8000
C.	16000
D.	12000
Answer» C. 16000

Discussion

1534.	Q: Raghu sold an article for Rs. 180 after allowing a 20% discount on its marked price. Had he not allowed any discount, he would have gained 20%. What is the cost price of the article?
A.	187.5
B.	192.8
C.	188.6
D.	190.4
Answer» B. 192.8

Discussion

1535.	Q: Radius of base of a right circular cone and a sphere is each equal to r. if the sphere and cone have same volume, the what is the height of the cone?
A.	7r
B.	3r
C.	4r
D.	2r
Answer» D. 2r

Discussion

1536.	Q: √(?) + 152 = 235
A.	10
B.	121
C.	144
D.	100
E.	None of these
Answer» C. 144

Discussion

1537.	Q: Radhe buys two TVs at the same cost price, one of them is sold at $$11 {1\over 9}\% $$ profit and the other at $$14{2\over 7}\% $$ profit, then the difference between their selling price is Rs $${200\over 7}$$. Find the cost price of the TV.
A.	रु 900
B.	रु 650
C.	रु 700
D.	रु 800
Answer» D. रु 800

Discussion

1538.	Q: R started the work and left after some days, when 25% work was done. After it Z joined and completed it working for 25 days. In how many days R and Z can do the complete work, working together?
A.	6
B.	8
C.	10
D.	12
E.	20
Answer» F.

Discussion

1539.	Q: QR is the chord of a circle with center o. p is a point on major arc QR as shown in figure. What is the value of ∠QPR + ∠OQR?
A.	$$ {120^o}$$
B.	$$ {60^o}$$
C.	$$ {90^o}$$
D.	$$ {180^o}$$
Answer» D. $$ {180^o}$$

Discussion

1540.	Q: QA and PB are perpendicular to AB in the given figure. If AO = 10 cm, BO = 6cm, BP = 9 cm, then the length of AQ is__
A.	12 cm
B.	15 cm
C.	18 cm
D.	21 cm
Answer» C. 18 cm

Discussion

1541.	Q: A solid copper sphere of radius 1.2 cm is converted into a right circular cylinder rod of length 16 cm. The ratio of total surface area of the rod to the sphere is
A.	07:03:00
B.	07:04:00
C.	07:05:00
D.	07:06:00
Answer» E.

Discussion

1542.	Q: If a chair sold for Rs. 600 at the profit of 20%, then the original price of the chair is:
A.	Rs. 540
B.	Rs. 500
C.	Rs. 480
D.	Rs. 580
Answer» C. Rs. 480

Discussion

1543.	Q: If a man estimates his loss as 20% of the selling price, then his loss percent is:
A.	0.2
B.	0.25
C.	40/3%
D.	50/3%
Answer» E.

Discussion

1544.	Q: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q’s age?
A.	3 years
B.	5 years
C.	7 years
D.	Data inadequate
E.	None of these
Answer» E. None of these

Discussion

1545.	Q: Q and S work together for 5 days, the rest of the work is finished by M in two more days. If they get Rs. 6000 as wages for the whole work, what are the daily wages of Q, S and M respectively?
A.	200, 250, 300
B.	300, 200, 250
C.	600, 400, 200
D.	600, 400, 500
E.	None of these
Answer» E. None of these

Discussion

1546.	Q: The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:
A.	$$ {1\over2}$$
B.	0
C.	2
D.	1
Answer» E.

Discussion

1547.	Q: Purchased a table for 13500 and sold it 11000. What is his loss percentage?
A.	0.1981
B.	0.2062
C.	0.2178
D.	0.1852
Answer» E.

Discussion

1548.	Q: Puma shoes are how much percent more than the Nike Shoes?
A.	14.28
B.	16.66
C.	25
D.	21.33
Answer» C. 25

Discussion

1549.	Q: Pulse is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?
A.	0.25
B.	0.2
C.	0.1
D.	0.35
Answer» C. 0.1

Discussion

1550.	Q: PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If ∠SPT=32°, then what will be the measure of ∠QRP?
A.	58°
B.	30°
C.	29°
D.	32°
Answer» D. 32°

Discussion

Explore topic-wise MCQs in Mathematics.

Q: Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?

Q: Ramesh scored 73 marks in subject A . He scored 56% marks in subject B and X marks in subject C. maximum marks in each subject were 150. The overall percentage marks obtained by Ramesh in all the three subject together was 54%. How many marks did he score in Subject C?

Q: Ramesh sold a phone at a loss of 5%. Had he sold it for Rs. 200 more, he would gave gained 15%. To gain 25%, he should sell it for :

Q: Ramesh can do a work in 40 days. Rahul is 25% more efficient than Ramesh. Find the time to complete the work if they work together.

Q: Ramesh deposited ₹ 15600 in a fixed deposit at the rate of 10 % per annum simple interest. After every second year, he adds his interest earnings to the principal. The interest at the end of fourth year is

Q: Ramesh can do a work in 21 days and Mahesh in 42 days. If they work on it together for 7 days, then what fraction of work is left?

Q: Ram walks a certain distance and rides back taking a total time of 37 minutes. Ram could walk both ways in 55 minutes. How long would it take Ram to ride both ways?

Q: Ram travelled 1200 km by air which is formed of his trip. He travelled one-third of the trip by car and the rest by train. The distance (in km) travelled by train was

Q: Ram started a business with a sum of Rs 600. After 3 months Shyam and after 6 months Mohan also become partners. If the profit at the end of the year was divided in the ratio of 4: 5: 3, then how much was Shyam's capital more than Mohan's capital.

Q: Ram spends 40 % of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are ₹ 1500, then his salary per month (in ₹) is:

Q: Ram sold an article for Rs 380 at some profit. Had he sold it for Rs 300, then there would have been a loss equal to one-third at the initial point. What was the cost price of the article?

Q: Ram spends 20% of his monthly income on his household needs, 15% of the remaining income on books and 30% of the remaining income on clothes. Now he has Rs 9520 left, so what is his monthly income?

Q: Ram sells a car to Mohan at a profit of 16% and Mohan sells it to Shyam at a profit of 25%. How much profit% Ram would have got if he had sold the car directly to Shyam at the price Shyam bought it?

Q: Ram sells two articles, each for the same price Rs.720. He incurs 20% loss on the first and 10% loss on the second. Find his overall percent loss.

Q: Ram saves 14 % of his salary while Shyam saves 22 % . If both get the same salary and Shyam saves 1540, what is the savings of Ram?

Q: Ram’s present age is one-sixth of his father’s age. If the difference between their present ages is 35 years, what is his father’s present age?

Q: Ram does a work in 40 days and Shyam does same work in 60 days. If efficiency of Mohan is 20% less than the combined efficiency of Ram and Shyam together then working alone Mohan will complete the whole work in how many days?

Q: Ram has 5 daughters. The average age of these 5 sisters is 28 years. The youngest one is 16 years old. What was the average age of the 4 daughters before the youngest one was born?

Q: Ram and Shyam can do a work in 12 days, Shyam and Hari in 15 days, and Hari and Ram in 20 days. Accordingly, in how many days can Rama alone complete that work?

Q: Ram and Shyam are travelling from point A to B, which are 60 km apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take 30 minutes less than Shyam to reach point B. At what speed was Ram driving from point A to B ?

Q: Rakesh invests Rs. 8000 at some rate of interest. Being simple interest the money doubles in 5 years. Raj sees this and invests Rs. 6250 for 3 years at the same rate of interest. How much interest does Raj get?

Q: Raju started business investing Rs. 75000. After 4 months Sanju joined the business with Rs. 112500. If at the end of the year total profit was Rs.4500, find Sanju’s share?

Q: Raju, Rinku and Ram can do a piece of work in 6, 12, and 24 days respectively. In what time will they finish the work while working together ?

Q: Rajesh can do a work in 6 days and Vikram can do the same work in 5 days. The contract for the work is of Rs. 3300 . How much shall Vikram get if both of them work together?

Q: Rahul, Shyam and Rohan invested capital in the ratio of 2:3:4 for the time period of 6:4:3. Find the ratio of profit distributed?

Q: Rahul purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

Q: Rahul plans to buy a scooter for his sister for which he saves Rs. 15625 at the start of every year for 3 year. If the rate of CI is 4% pa. then amount at which he plans to buy the scooter is (in Rs.)

Q: Rahul can do a work in 20 days. Rahul and Shyam together do the same work in 15 days. If they are paid Rs. 400 for that then what is the share of each.

Q: Rahul and Rohan enter into a partnership with their capitals in the ratio 7:9. At the end of 8th month, Rahul withdraws his capital. If they receive the profits in the ratio 8:9, find how long Rohan’s capital was used.

Q: Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?

Q: Raghu sold an article for Rs. 180 after allowing a 20% discount on its marked price. Had he not allowed any discount, he would have gained 20%. What is the cost price of the article?

Q: Radius of base of a right circular cone and a sphere is each equal to r. if the sphere and cone have same volume, the what is the height of the cone?

Q: √(?) + 152 = 235

Q: Radhe buys two TVs at the same cost price, one of them is sold at $$11 {1\over 9}\% $$ profit and the other at $$14{2\over 7}\% $$ profit, then the difference between their selling price is Rs $${200\over 7}$$. Find the cost price of the TV.

Q: R started the work and left after some days, when 25% work was done. After it Z joined and completed it working for 25 days. In how many days R and Z can do the complete work, working together?

Q: QR is the chord of a circle with center o. p is a point on major arc QR as shown in figure. What is the value of ∠QPR + ∠OQR?

Q: QA and PB are perpendicular to AB in the given figure. If AO = 10 cm, BO = 6cm, BP = 9 cm, then the length of AQ is__

Q: A solid copper sphere of radius 1.2 cm is converted into a right circular cylinder rod of length 16 cm. The ratio of total surface area of the rod to the sphere is

Q: If a chair sold for Rs. 600 at the profit of 20%, then the original price of the chair is:

Q: If a man estimates his loss as 20% of the selling price, then his loss percent is:

Q: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q’s age?

Q: Q and S work together for 5 days, the rest of the work is finished by M in two more days. If they get Rs. 6000 as wages for the whole work, what are the daily wages of Q, S and M respectively?

Q: The value of $$ sec{^4}A(1-sin{^4}A)-2tan{^2}A $$ is:

Q: Purchased a table for 13500 and sold it 11000. What is his loss percentage?

Q: Puma shoes are how much percent more than the Nike Shoes?

Q: Pulse is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as to keep the expenditure fixed?

Q: PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If ∠SPT=32°, then what will be the measure of ∠QRP?