A stock portfolio consists of four stocks. Stock A represents 20% of the portfolio and has a return of 6%. Stock B represents30% of the portfolio and has a return of 8%. Stock C represents 20% of the portfolio and has a return of 4%. Stock Drepresents the remaining 30% of the portfolio and has a negative-return of 5%. What is the average return of the portfolio?
Which digits should come in place * and $,respectively, if the number 72864*$ is divisible by both 8 and 5?
Madhav purchased an item for ₹42,000 and sold it at a loss of 20%. With that amount, he purchased another item and sold it at a gain of 30%. What is the overall gain (in ₹)?
What is the volume (in cm3) of a cylinder if the radius of the cylinder is 8cm and the height is 14 cm? (Take =227)
Simplify: 13-7-4+7-7-7-4+7+14
The given table shows the numbers of soaps sold by four different companies in 4 different months. Company/ Month May June July August P 1924 1780 1820 1490 Q 1540 1245 1648 2450 R 2035 1485 1350 1650 S 1736 1855 1470 1180 The total numbers of soaps sold by companies Q S together in may, is what percentage is more than the number of soaps sold by company P in july?
Seven years ago, Prachi was four times as old as her daughter was at that time. Four years from now, Prachi will be twoand-a-half times as old as her daughter would then be. Find the sum of the present ages (in years) of Prachi and her daughter.
In a triangle PQR, S is a point on the side QR such that PSQR, then which of the following options is true?
The given table shows the number of pages printed by four printers in three days. Days Printers L M N O Friday 10,230 9580 7560 9600 Saturday 8540 11,230 6580 7890 Sunday 9235 8264 7546 10,325 If the total number of pages printed by all the given printers together on Wednesday was 15% more than the total number of pages printed by all the given printers together on Saturday , What was the total number of pages printed by all the given printers together on Wednesday?
From a circle with the radius of 15.75 cm, a sector with the arc length of 11 cm is cut off. Find the area (in cm2 ) of this sector.
Simplify 15.5 [3 {7 (5 (14.5 13.5))}].
In a clearance sale, a sari whose marked price was ₹10,490 is now sold for ₹9,441. What is the discount percentage on thesari?
The incomes of P, Q and R are in the ratio 10 : 12 : 9 and their expenditures are in the ratio 12 : 15 : 8. If Q saves 25% of his income, then what is the ratio of the savings of P, Q and R?
A pipe can fill an overhead tank in 12 hours. But due to a leak at the bottom, it is filled in 18 hours. If the tank is full, howmuch time will the leak take to empty it?
A pipe can fill an overhead tank in 12 hours. But due to a leak at the bottom, it is filled in 18 hours. If the tank is full, howmuch time will the leak take to empty it?
Simplify: (8.3)3+(9.2)3+(6.1)3-38.39.26.1(8.3)2+(9.2)2+(6.1)2-8.39.2-9.26.1-6.18.3
Two triangles EFG and HIJ are congruent. If the area of ΔEFG is 124 cm2, then the area of ΔHIJ will be:
What is the value of sec(t), if tan (t) =13?
The classification of 100 students based on the marks obtained by them in English and Mathematics in an examination isgiven in the table below. Study the table and answer the question that follows. MARKS OUT OF 50 SUBJECT 40 and above 30 and above 20 and above 10 and above 0 and above ENGLISH 10 31 80 92 100 MATHEMATICS 3 23 65 81 100 AGGREGATE 7 27 73 87 100 If at least 40% marks in Mathematics are required for pursuing higher studies in Mathematics, how many students will beeligible to pursue higher studies in Mathematics?
Let a + b = 2c, then which of the following expressions is true?
In triangles ABC and DEF, AB = FD and A = D. The two triangles are congruent by SAS criterion if:
The Points P and S are on the same side of the line segment QR, such that LPQR= 900,LSRQ=900 and PQ=SR. Select the correct statement.
If the equations 4x + (k 2)y + 3 = 0 and (k 2)x + 9y 5 = 0 (k 0) are parallel, then find the value of k2+6.
The marked price of an article is 26% more than its cost price. If a discount of 32% is given, what will be the loss percentage?
Two pipes, A and B, can fill a tank in 10 minutes and 20 minutes, respectively. The pipe C can empty the tank in 30 minutes. All the three pipes are opened at a time in the beginning. However, pipe C is closed 2 minutes before the tank is filled. In what time, will the tank be full (in minutes)?
Study the given table and answer the question that follows.The given table shows the production of T-shirts by four companies i.e., C1, C2, C3 and C4 over the four years. Years Production (in thousands) C1 C2 C3 C4 2019 243 244 244 240 2020 248 239 236 230 2021 232 240 235 248 2022 242 244 230 242 Which company had the maximum average production of T-shirts during these four years?
A payment of ₹120 is made with ₹10, ₹5 and ₹2 coins. A total of 25 coins are used. Which of the following is the number of ₹10 coins used in the payment?
Simplify the following. sin3A-cos3AsinA-cosA, Where A is an acute angle.
If x, y z are positive numbers and x+y+z=1 , then the least value of1x+1y+1z is:
If 28.9 : x :: x : 36.1, and x 0, then find the value of x.
The mean proportional of 8a2and18a4, where a is a positive number,is _.
A right-angled isosceles triangle has an area of 50 square units. Its hypotenuse is (in units):
The height of a cylinder is 20 cm. The lateral surface area is 1760 cm2 . Its volume is:
Ifsec+tansec-tan=74, then find the value ofcosec.
Raj divides ₹1,200 in the ratio 2 : 1 : 3 among three of his friends. The amount equal to the sum of three times the largest share and two times the smallest share is:
A person earns ₹16,000 per month and spends 80% of his income and saves the remaining amount. If his income increases by 20% and expenditure by 10%, find the percentage of increase in his savings.
Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6%per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annumon rest of the capital is equal to:
Without doing the actual division, find the remainder when 28735429 is divided by 9.
A shopkeeper marked an article at ₹5,000. The shopkeeper allows successive discounts of 20%,15% and 10%. The selling price of the article is:
If the length, breadth, and height of a cuboid is 8 cm, 4 cm, and 6 cm, respectively, then the volume (in cm3) of the cuboid is:
The angles of triangle are such that one is average of other two, then the angles are:
The average of 12 numbers is 48. The average of the first 5 numbers is 45 and the average of next 4 numbers is 52. If the 10th number is 10 less than the 11 th number and is 5 more than the 12th number, then the average of the 11 th and 12th numbers is:
The following table shows the sale (in thousands) of different types of helmets by a shop over the given years: Type of Helmet/Year 1998 1999 2000 2001 2002 A 78 45 56 63 88 B 58 64 78 60 68 C 46 54 58 64 68 D 76 65 72 78 82 E 87 66 74 80 84 What was the percentage increase in the sale of Helmets C in 2002 as compared to that in 1999?
Find the value of the following expression. 1+sin1-sin
Let C be a circle with centre O and P be an external point to C. Let PA and PB be two tangents to C with A and B being the points of tangency, respectively. If PA and PB are inclined to each other at an angle of 60, then findPOA.
The value ofsin-2sin32cos3-cos31tan-sec2is:
At present, A is thrice as old as B. C is 5 years elder than B. The sum of the ages of A, B, C is 75 years. The ratio of the age of B five years ago to the age of A three years from now is:
What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle30?(Use = 3.14)
Let t =25, then the value of expressiont3+353+95t is :
The monthly wages (in ₹) of three mess workers, Rahul, Sunil and Vipin, of a boys hostel for three months are given in the following table. Study the table carefully and answer the question given below. Mess workers/Month October November December Rahul 10800 11500 12000 Sunil 10000 10500 11500 Vipin 10400 11600 12200 In November, the wages of Sunil is what percentage of the wages of Rahul? (Correct up to two decimal places.)
The monthly wages (in ₹) of three mess workers, Rahul, Sunil and Vipin, of a boys hostel for three months are given in the following table. Study the table carefully and answer the question given below. Mess workers/Month October November December Rahul 10800 11500 12000 Sunil 10000 10500 11500 Vipin 10400 11600 12200 In November, the wages of Sunil is what percentage of the wages of Rahul? (Correct up to two decimal places.)
If 7845K854 is divisible by 11, then what is the value of K?
If A is an acute angle, which of the following is equal tosinA1+cosA ?
If x varies inversely as y and x = 2 when y = 6, then the value of y when x = 3 is:
M and N walk along a circular track. They start at 5:00 a.m. from the same point in the opposite directions. M and N walk at a speed of 5 rounds per hour and 2 rounds per hour, respectively. How many times will they cross each other before 6.30 a.m. on the same day?
Two Circles C1 C2 touch each other externally. The Radius of C1= 16cm 7 the radius of C2 is 8cm. Find the length (in cm) of their common tangent.
In aΔPQR, the bisectors ofQ andR meet at point O, inside the triangle. IfQOR = 107, then the measure ofP is:
If a sum of ₹5,000 is taken at a simple rate of interest of 15% per annum for 3 years and another sum of ₹8,000 is taken at a simple interest of 12% per annum for 4 years, the positive difference of the interests paid is:
Ifx+1x=15, then the value of7x2-9x+7x2-x+1 is:
Varun and Sandeep started for a car race from the same point, in the same direction and at the same time on a circular track of length 1635 m with the speeds of 90 km/h and 108 km/h, respectively. After how much time (in s) will they meet again for the first time?
If7sin+4cos9sin-2cos=54, then the value oftan2+5tan2-5 is:
A number is first increased by 12% and then increased by 23%. The number, so obtained, is now decreased by 34%. What isthe net increase or decrease percent in the original number (nearest to an integer)?
Study the given table and answer the question that follows.The given table shows the production of different types of refrigerators in a company. Years Types of Refrigerators A B C 2011 2018 1800 1932 2012 2040 1890 1800 2013 2035 1910 1890 2014 2020 1940 1978 2015 1997 1960 1900 In which of the given year(s) was the production of B type refrigerator closest to its average production over the givenyears?
Pipes M, N and S can fill a tank in 25, 50 and 100 minutes, respectively. Initially, pipes N and S are kept open for 10 minutes, and then pipe N is shut while pipe M is opened. Pipe S is closed 15 minutes before the tank overflows. How much time (in minutes) will it take to fill the tank if the three pipes work in this pattern?
Simplify the following: 21 4.9 7 + 3.9 0.4 + 0.9
The measures of the three angles of a triangle are in the ratio 17 : 13 : 15. Find the positive difference between the greatest and the smallest of these three angles.
A dishonest shopkeeper claims to sell salt at a rate of ₹25/kg. The cost price of the salt is ₹25/kg. Not satisfied with this, hetries to make profit by removing 200 gm from each kg. What is the shopkeepers gain percentage?
A thief noticed a policeman at a distance of 600 metres. The thief started running and the policeman chased him. The thiefand policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for thepoliceman to catch the thief.
If2cosec2+3cot2=17, then the value of '' when00900 is :
Find the area (in cm2) of the sector whose perimeter is643cm and the central angle is 60. (Use=227)
A certain sum of money becomes seven times itself when invested at a certain rate of simple interest, in 14 years. How much time (in years, rounded off to 2 decimal places) will it take to become 18 times itself at the same rate?
The average temperature of a city for the first sixteen days of January is 22C, and the average temperature for the last sixteen days of the same month is 26C. If the average temperature for the entire month is 24C, what is the temperature on the sixteenth day?