a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are
equal to each other
reciprocal to each other
at leastone of the foregoing
all of the foregoing
none of the foregoing
A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it 90 days. In what time can A alone do it?
Find the compound interest in Rs.2400 for 2 1/2 years at 5 % p.a.,interest being compounded annually.
If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is
What is the slope of the line given by the equation 3w - 7 = 6 - 2y?
A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:
(6)² + (8)² + (2)² - (9)²=?
None of these
Difference between the compound interest and the simple interest accrued on an amount of Z 18000, in two years was ?405 What was the rate of interest p.c.p.a?
Cannot be determined
The ratio between the rate of walking of x and y is 2:3. If the time taken by B to cover a certain distance is 24min, to cover the same distance A will take:
The capacity of a tank of dimensions (8 m x 6 m x 2.5 m) is
1/4 of 3/5 of 6/5 of a number is 54 what is the number?
Sam invested Rs. 15,000 @ per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
One of the editors must work completely alone for the whole day in order to prevent confusion and disorder. If no other editor can afford to lose his available time, then the only possible editor privileged with working alone is
The news editor on Tuesday
The managing editor on Friday
The sports editor on Monday
The entertainment editor on Thursday
Rahim buys 3 kg mangoes for Rs 21 and sells them at 5 kg for Rs 50. To earn Rs 102 as profit, the mangoes to be sold by him should be
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
If 20% of a = b, then b% of 20 is the same as:
4% of a
5% of a
20% of a
The weights in kilograms of 10 students are 52, 45, 31, 35, 40, 55, 60, 38, 44, 36. If 44 is replaced by 46 and 40 is replaced by 35 then new median will be
If x *y=x2 + y2 – xy, then the value of 9*11 is:
If the cube root of the square root of a number is 5, what is the number?
Shiwani thought of a two-digit number and divided the number by the sum of the digits of the number. He found that the remainder is 3. Devesh also thought of a two-digit number and divided the number by the sum of the digits of the number. He also found that the remainder is 3. Find the probability that the two digit number thought by Shiwani and Devesh is TRUE?
A number when decreased by 14% of it, gives 215. What is the number?
Which of the following statements is correct about the cumulative production of the plant from the year 1999 to the year 2004
The cumulative "Actual Production" has missed the cumulative "Targeted Production" by less than 10%
The cumulative "Actual Production" has surpassed the cumulative "Targeted Production" by more than 10%
The cumulative "Actual Production" has missed the cumulative "Targeted Production" by more than 10%
The cumulative "Actual Production" has surpassed the cumulative "Targeted Production" by less than 10 %
A man rows downstream at 32 km and 14 km upstream at 13kmph.the speed of the stream is:
In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is:
In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining food last now?
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must the plot be sold in order to gain 15% ?
Rs. 21, 000
Rs. 25, 300
x men working x hours per day can do x units of a work in x days. How much work can be completed by y men working y hours per day in y days?
10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the same work in 12 days?
Pipes A and B fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
1 13/17 hours
2 8/11 hours
3 9/17 hours
4 1/2 hours
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is
(3x – 2) (2x – 3) (4x – 1)
(3x – 2) (2x – 3) (4x + 1)
(3x – 2) (2x + 3) (4x + 1)
(3x + 2) (2x – 3) (4x + 1)
For which of the following years, percentage increase/ decrease in the number of students studying Commerce with respect to the previous year is the maximum?
Murali 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. Find out his profit percentage.
In how many ways can the letters of the word LEADER be arranged?
Three pencils , four erasers and two sharpeners together cost Rs. 10.50. Two pencils one eraser and three sharpeners together cost Rs. 9.50. How much does each eraser cost?
Can’t be determined
In how many ways can the letters of the word 'LEADER' be arranged?
If k – 7 = 7 (1 – k), then what is the value of k?
If x2 + 1/x2 = 51 , then the value of x-1/x is
His report, including thorough notes on the background investigation, were well received
There are 6 boxes numbered 1,2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:
There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values?
(logb a X logc b X loga c) is equal to
A man invests Rs. 3000 at a rate of 5% per annum. How much more should he investat a rate of 8%, so that he can earn a total of 6% per annum?
A pole has to be erected on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrical opposite fixed gates A and B on the boundary is 7 meters. The distance of the pole from one of the gates is:
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.
If log10 2=0.3010, then value of log10 25 is
On a day of fluctuating market prices, the share price of XYZ Ltd. ends with a gain, i.e., it is higher at the close of the day compared to the opening value. Which trader got the maximum return on that day?
Bikram or Chetan
cannot be determined
A flagstaff 17.5 m high casts a shadow of length 40.25m. The height of the building which casts a shadow of length 28.75 under similar conditions will be:
56.703 - 63.179 + 49.361 =?
Applied to a bill for Rs. 1,00,000, the difference between a discount of 40% and two successive discounts of 36% and 4% is
What percentage of 2650 is Rs.1987.50?
If x = 1 – q and y = 2q + 1, then for what value of q, x is equal to y?
If the area of a circle decreases by 36%, then the radius of a circle decreases by
If (2a + 3b)(2c – 3d) - (2a – 3b)(2c + 3d), then :
a/b = c/d
a/d = c/b
a/b = d/c
b/a = c/d
If √2n = 64, then the value of n is:
A, B and C went to buy ration from a wholesale market. They had a combined sum of Rs 900. A spent 80%, B spent 70% and C spent 75%of their respective amounts. Now the ratio of amounts left with them is 4 : 9 : 10. Find the ratio of amounts they had in the beginning.
2 : 4 : 3
3 : 4 : 2
5 : 2 : 2
2 : 3 : 4
892.7 – 573.07 – 95.007 =?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. What is the principal?
An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
If ( p - q) 2 = ( x – y ) 2, then x =
y – p + q
Both ( a) and (b)
None of these
The average of five consecutive numbers is n. If the next two numbers are also included, the average will :
Remain the same
Increase by 1
Increase by 14
Increase by 2
The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
What is the percentage increase in expenditure from 1996 to 1998?
None of these.
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
2 : 3
3 : 2
3 : 4
4 : 3
Two whole numbers whose sum is 72 cannot be in the ratio:
5 : 7
3 : 5
4 : 5
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
Complete the series 1, 3, 4, 13, 53, ____
16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of groups B?
A sum fetched a total simple interest of RS. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
None of these
By investing Rs.1620 in 8% stock .Michael earns Rs. 135. The stock is then quoted at
The total number of integer pairs (x, y) satisfying the equation x + y = xy is
None of the above
The internet represents that awkward _______ in all communication systems; while it _______ to bring us together, it keeps us apart
If the expenditure of Company B increased by 20% from 1995 to 1996, the income in 1996 will be how many times the income in 1995?
The dimensions of a room are 10 m × 7m ×5 m. There are 2 doors and 3 windows in the room. The dimensions of the doors are 1 m × 3m, one window is of size 2 m× 1.5 m and the other two windows are of size 1 m × 1.5 m. The cost of painting the walls at Rs. 3 per m2 is
6(3 – x) –5 (2x – 4) = 4(3x–) + 14In the above equation the value of x is:
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:
23 10 40 172 885 5346
Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?
By selling an article for Rs. 100, a man gains Rs. 15. Then, his gain % is:
2, 6, 12, 20, 30, 42, 56, (__)
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
If a * b – 2a – 3b + ab, then 3 * 5 + 5 * 3 is equal to:
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
3 : 5 : 2
3 : 5 : 5
6 : 10 : 5
5 : 5 : 3
There are two examination rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is;
The value of √0.121 is:
Of an amount, 20% of 25% of 30% is Rs. 75. Then what is the original number?
A dog taken 4 leaps for every 5 leaps of a hare but three leaps of the dog is equal to 4 leaps of the hare. Compare their speeds
Mr. Bagdi purchased an Air Conditioner for Rs. 12,000/- and sold it for Rs. 15,000/-. What was the profit percentage?
A shopkeeper sold a T.V. set for Rs.17,940 with a discount of 8% and earned a profit of 19.6%. What would have been the percentage of profit earned if no discount was offered?
A Started a business with 4500 and another person B joined after some period with 3,000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2:1
After 3 Months
After 4 Months
After 6 Months
After 2 1/2 Months
What is the minimum value of x for which the expression x3 – 7x2 + 11x – 5 gives positive values
Cause: Incessant rains have lashed the city during the past forty eight hours. Which of the following can be a possible effect of the above cause?
(A) The transport systems of the city have come to complete halt for the past twenty four hours.
(B) Many low lying areas of the city are submerged under water.
(C) Many people living in slums are shifted to municipal schools. -,.
Only (A) and (B)
Only (B) and (C)
Only (A) and (C)
All (A), (B) and (C)