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6901.

The salary of A is 20% lower than B' s salary and the salary of C 56.25% greater than A's salary. By how much percent the salary of B is less than the salary of C.

Answer»

`15%`
`20%`
`25%`
`33.33%`

ANSWER :B
6902.

If first and (2n−1)^(th)terms of an A.P., G.P. and H.P. are equal and their n^(th)terms are a, b, c respectively, then

Answer»

a. a+c=2b
B. a+c=b
c. b^2 =ac
d. NONE of these

Answer :B
6903.

The ratio of present ages of X and Y is 4:5. Which of the following can't be the ratio of ages of X and Y, 20 years ago ?

Answer»

A) 2 : 5
B) 8 : 15
C) 9 : 10
D) 3 : 5

Answer :`15%, 12%`
6904.

In the following algorithm x, y and z are variables which change their values in each step such that the value of the expression on the right hand side is assigned to the variable on the left hand side of the equation. Each cycle consists of 5 steps, S_(1), S_(2), S_(3).... are the sum of each corresponding cycle 1, 2, 3....... START Step 0. x=1, y=-2, z=3 Step 1. x=y-z Step 2. y=z-x Step 3. z=x-y Step 4. S=x+y+z Step 5. Go to step 1. What is the value of S_(4)?

Answer»

987
754
`-178`
NONE of these

Answer :B
6905.

Two stations P and Q are at a distance of 160 km. Two trains start moving from P and Q to Q and P respectively and meet each other after 4 h. If speed of the train strating from P is more than that of other train by 6 km/h, then find the speeds of both the trains, respectively.

Answer»

19 km/h, 13 km/h
13 km/h, 9 km/h
17 km/h, 23 km/h
16 km/h, 10 km/h

Answer :C
6906.

In the following algorithm x, y and z are variables which change their values in each step such that the value of the expression on the right hand side is assigned to the variable on the left hand side of the equation. Each cycle consists of 5 steps, S_(1), S_(2), S_(3).... are the sum of each corresponding cycle 1, 2, 3....... START Step 0. x=1, y=-2, z=3 Step 1. x=y-z Step 2. y=z-x Step 3. z=x-y Step 4. S=x+y+z Step 5. Go to step 1. Which one of the following is correct for each cycle?

Answer»

`S=2x`
`S=3x`
S is an ODD number
none of these

Answer :A
6907.

If the difference between the compound interest and the simple interest on a certain sum for 2 yr at 8% per annum is ? 32, then the sum is

Answer»


ANSWER :RS. 5000
6908.

If a+b+c=6, a^(2) +b^(2)+ c^(2)=16, find ab+bc +ca= ?

Answer»


ANSWER :10
6909.

What will be the difference between simple interest and compound interest at 4% per annum on a sum of 5000 after 3 yr ?

Answer»

24.32
28.56
32.48
36.18

Answer :B
6910.

From the top of a cliff 90 metre high, the angles of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) respectively. The height of the tower is:

Answer»

45 m
60 m
75 m
30 m

Answer :B
6911.

B takes two times time as long as (A + C) together take to complete a work C takes three times time as much as (A + B) together take to complete a work. If all three working together can complete the work in 25 days. Then find the number of days in which A, B and C can complete the work individually.

Answer»


Answer :`A to 60` DAYS,`B to 75` days, `C to 100` days
6912.

King Dashratha of Ayodhya on his birthday decided to offer 100 coins of gold among his 4 sons and 3 wives. The denomination of each coin is ₹1. He put all the 100 coins in 7 bags in such a way that by taking a proper combination of various bags any integral sum (i.e. ₹ 1, 2, 3, 4, ... .100) can be obtained and it is known that the only whole sum of any bag can be taken. If the two least amounts are combined with highest one then minimum how many persons combined their coins to get the same amount:

Answer»

2
3
4
5

Answer :A
6913.

Find the value of ^10C_2 + ^10C_3 + ... + ^10C_10

Answer»

100
`10^2 - 10`
`2^10 - 11`
`2^10 - 2`

Answer :C
6914.

The two pie charts show the market share of different companies which produces TV and Refrigerator (noth) in the first quarter of 2005-06. The difference is not shown to scale.

Answer»

`7.2^(@)`
`14.4^(@)`
`21.6^(@)`
NONE of these

Answer :B
6915.

If tan((pi)/(2)-(theta)/(2))=sqrt(3), then the value of costheta is.

Answer»

0
`(1)/(sqrt(2))`
`(1)/(2)`
1

Answer :C
6916.

King Dashratha of Ayodhya on his birthday decided to offer 100 coins of gold among his 4 sons and 3 wives. The denomination of each coin is ₹1. He put all the 100 coins in 7 bags in such a way that by taking a proper combination of various bags any integral sum (i.e. ₹ 1, 2, 3, 4, ... .100) can be obtained and it is known that the only whole sum of any bag can be taken. If all coins, of these who have odd number of coins, are combined then minimum how many people are required to combine their coins to make the same amount having even number of coins:

Answer»

10
13
11
9

Answer :C
6917.

Find the total number of quadratic polynomial ax^2+bx+c, if a,b,c are some three positive distinct integers less than 2000, such that (x+1) is the factor of the quadratic polynomial ax^2+bx+c.

Answer»

19996002
1860004
19876004
none of these

Answer :D
6918.

Shaan got a total of Rs. 912 in the denomination of equal numbers of Rs. 1, Rs. 5 and Rs. 10 coins. How many coins do Shaan posses?

Answer»

6
3
4
none

Answer :C
6919.

The number of ways in which 13 gold coins can be distributed among three persons such that each one gets at least two gold coins is

Answer»

128
73
37
64

Answer :B
6920.

Ashmitcan solve80 %of theproblemgivenin a bookandamishacan solve70%. What is the probabilitythatatleastoneof themwillsolvea problem , selectedatrandomfromthe book ?

Answer»

`0.60`
`0.06`
`0.94`
`0.56`

ANSWER :C
6921.

ABCD is a rectangle. Let E be a point on AB andF a point on CD such that DE is parallel to BF.If AE=3 cm and if the area of triangle BFC = 6 square cm. Consider the following statements : 1. Area of rectangle ABCD can be of the formpq^(2) square cm where p,q are distinct primes. 2. Area of the figure EBFD is of the form r^(2) square cm where r is rational but not an integer. Which of the above statements"is/are"correct ?

Answer»

Only I
Only II
Both I andII
Neither I nor II

Answer :A
6922.

The tens digit of the 2^(248) is :

Answer»

1
7
5
none of these

ANSWER :C
6923.

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?

Answer»

A) 710 acres
B) 760 acres
C) 810 acres
D) 860 acres

Answer :A
6924.

The area of the floor of a rectangle hall of length 40m is 960m^2. Carpets of size 6m*4m are available, then, how many carpets are required to cover the hall?

Answer»

a. 20
B. 30
c. 40
d. 45

Answer :B
6925.

A lawn is in the shape of rectanglle of length 60m and width 40m. Inside the lawn there is a footpath of uniform width 1m bordering the lawn. The area of the path is :-

Answer»

a. 194m^2
b. 196m^2
C. 198m^2
d. 200m^2

Answer :C
6926.

The reading style of Sunny is quite unusual. He reads one page on the first day, 2 pages on the second day, 3 pages on the thrid day etc. How many pages Sunny can read in 24 days?

Answer»

242
300
276
none of these

Answer :B
6927.

By an engine the consumption of coal is directly pro portional to the square of its velocity. When velocity is 50 mile/hour then consumption is 100 kg. If cost of coal is 25paise /kg, and expenditure is 9 Rs./hour in second case. Then find the consumption in travelling 250 mile.

Answer»

325 KG.
300 kg.
225 kg.
270 kg.

ANSWER :B
6928.

A car mechanic purchased four old cars for ₹ 1 lakh. He spent total 2. lakh in the maintenance and repairing of these four cars. What is the average sale price of the rest three cars to get 50% total profit if he has already sold one of the four cars at ₹ 1.2 lakh?

Answer»

1.5 lakh
1.1 lakh
1.2 lakh
1.65 lakh

Answer :B
6929.

In the given figure O is the centre of the circle and angleCD = 26^(@), find angleAOD :

Answer»

`52^(@)`
`154^(@)`
`128^(@)`
DATA insufficient

Answer :A
6930.

Whatis the ratio whose terms differ by 40 and the measure of which is 2/7?6: 56b. 14 : 556c. 16 : 56d. 16 : 72

Answer»

0.70555555555556
0.61736111111111
0.65
0.71666666666667

Answer :C
6931.

Multiply 83 by 87.

Answer»

Solution :STEP 1: `3 xx 7 = 21`
Step 2: `8 xx (8 + 1) = 72.`
`83 xx 87 = 7221`
6932.

There are three persons L. M and N who each invested in two different scheme S_(1) and S_(2). L invested Rs. 1,60,000 for 2 yr in scheme S_(1) and 60,000 for 4 years in scheme S_(2). M invested Rs. 60,000 for 3 years in S_(1) and he did not invest in scheme S_(2). M also obtained a profit of 20,000 by selling his car. N invested Rs. 100000 for 5 years in scheme S_(1) and 20,000 for 3 years in scheme S_(2) . total profit obtained from scheme S_(1) is 4 lakh and scheme S_(@) is 1,80,000. If L had invested his sum at Simple Interest for 3 yr at the rate of R%. p.a instead in scheme S_(1) and M has invested his sum at compound Interest at (R+5%) p.a. for 1 year and difference in interestobtained is 60,000 then find value of R%.

Answer»

0.1
0.09
0.15
0.18

Solution :Ratio of profit share of L , M and N in scheme `S_(1)`
`160000xx2:60000xx3:10000xx5`
`16:9:25`
Profit share of L from Schem
`S_(1)=(16)/(50)xx400000=128000`
Profit share of M from scheme
`S_(1)=(9)/(50)xx400000=72000`
Profit share of N from scheme
`S_(1)=(25)/(50)xx400000=200000`
Ratio of profit share of L and N in scheme `S_(2)`
`60,000xx4:20,000xx3`
`12:3`
Profit share of L in scheme `S_(2)=(12)/(15)xx180000=144000` ltbgt Profit share of N in scheme `S_(2)=(3)/(15)xx18,0000=36000`
`(160000xxRxx3)/(100)-6000xx((R+5)/(100))=60,000`
`2400R-300R-1500=30000`
`8R-5=1500=30000`
`7R=105`
`R=15%`
6933.

P and Q start running on the circular track in opposite directions they starts from a point A and meet for the first second and third time at B,C and A respectively. what is the ratio of speeds of P and Q?

Answer»

`2:1`
`3:1`
`4:1`
NONE of these

Answer :A
6934.

A company produces three products. The products are processed on 3 different machines. The time required to manufacture one unit of each the three products and the daily capacity of three machines are given in the table below : Read the following additional data for question number 9, 10 and 11. The profit per unit for product 1, 2 and 3 is Rs. 3, Rs. 4 and Rs 5. What combination of P_(1), P_(2) and P_(3) will yield maximum profit under the manufacturing constraints? 1. P_(1) - 25, P_(2) - 50, P_(3) - 100 2. P_(1) - 20, P_(2) - 60, P_(3) - 80 3. P_(1) - 100, P_(2) - 0, P_(3) -50 4. P_(1) - 0, P_(2) - 80, P_(3)- 100

Answer»

A. 4
B. 2
C. 3
D. 1

Answer :B
6935.

The S={(1,3,5,7,9,…,99)(102,104,106,…200)} i.e., in the first part there are odd integers less than 100 and in the second part there are even integers greater than 100, but upto 200. The highest power of 5 that can exactly divide the product is

Answer»

52
51
97
can't be determined

Answer :A
6936.

The product of two numbers is 216. If the HCF is 6, then their LCM is:

Answer»

72
60
48
36

Answer :D
6937.

Out of the four arbitrary non - collinear points three points are taken at a time, then the number of planes that can drawn through the three points is :

Answer»

3
4
6
12

Answer :B
6938.

In a square ABCD, an equilateral triangle ABE is drawn inside the square on side AB. Diagonal DB cuts the triangle at point O find the value of angle AOB?

Answer»

a. 45degree
B. 60degree
c. 63degree
d. 75degree

Answer :B
6939.

There is a three digits number abc and a two digit number xy such that the product of abc with xy is same as the product of cba with yx, if x and y can be similar digits, then the number of such pairs of P and Q is :

Answer»

99
900
810
can't be determined

Answer :C
6940.

There are three persons L. M and N who each invested in two different scheme S_(1) and S_(2). L invested Rs. 16,0000 for 2 yr in scheme S_(1) and 60,000 for 4 years in scheme S_(2). M invested Rs. 60,000 for 3 years in S_(1) and he did not invest in scheme S_(2). M also obtained a profit of 20,000 by selling his car.invested Rs. 100000 for 5 years in scheme S_(1) and 20000 for 3 years in scheme S_(2) . total profit obtained from scheme S_(1) is 4 lakh and scheme S_(@) is 18,0000. What is the ratio of total profit obtanined by N from scheme S_(1)

Answer»

`23:47`
`54:47`
`36:43`
`23:50`

Solution :Ratio of PROFIT share of L , M and N in scheme `S_(1)`
`160000xx2:60000xx3:10000xx5`
`16:9:25`
Profit share of L from Schem
`S_(1)=(16)/(50)xx400000=128000`
Profit share of M from scheme
`S_(1)=(9)/(50)xx400000=72000`
Profit share of N from scheme
`S_(1)=(25)/(50)xx400000=200000`
Ratio of profit share of L and N in scheme `S_(2)`
`60,000xx4:20,000xx3`
`12:3`
Profit share of L in scheme `S_(2)=(12)/(15)xx180000=144000` ltbgt Profit share of N in scheme `S_(2)=(3)/(15)xx18,0000=36000`
Required ratio `=(72000+20000):200000`
`46:100`
`=23:50`
6941.

A cuboid of dimensions 51, 85 and 102 cm is first painted by red colour then it is cut into minimum possible identical cubes. Now the total surface area of all those faces of cubes which are not red is :

Answer»

`119646 cm^2`
`52020 cm^2`
`18514 cm^2`
`36414 cm^2`

ANSWER :A
6942.

If x, y, z are real numbers such that x+y+z=4 and x^(2)+y^(2)+z^(2)=6, then x,y,z lie in :

Answer»

`[(3)/(2),2]`
`[(2)/(3),2]`
`[0, (2)/(3)]`
none of these

Answer :B
6943.

If (sec theta + tan theta)/(sec theta - tan theta) = 5/3, then sin theta is equal to

Answer»

`2//3`
`3//4`
`1//4`
`1//3`

ANSWER :C
6944.

Find the slope and the intercept on the y-axis of the line sqrt3x+3y=6:

Answer»
6945.

What is the area of triangle whose sides are 9cm, 12cm and 15cm?

Answer»

a. 45cm^2
b. 54cm^2
c. 56cm^2
d. 64cm^2

Answer :D
6946.

Two candidates fought an election. One of them got 64% of the total votes and won with 992 votes. What was the total number of votes polled ?

Answer»

1500
1580
1550
none of these

Answer :D
6947.

ABCD is a parallelogram of base 3cm and height 4cm. Find the area of the parallelogram.

Answer»

a. 12cm^2
B. 14cm^2
c. 15cm^2
d. 60cm^2

Answer :B
6948.

If the cost price of 12 articles be equal to the selling price of 20 articles, then find the loss percent in the transaction.

Answer»

16
20
25
26

Answer :A
6949.

The circumference of the circle whose area is 24.64 m^2 is:-

Answer»

a. 17.2cm
b. 17.4cm
C. 17.6cm
d. 18.0cm

Answer :C
6950.

A man bought an article and sold it at a gain of 5%. If he had bought it at 5% less and sold it for Rs. 1 less, he would have made a profit of 10%. The Cost Price(C.P.) of an article was

Answer»

RS. 150
Rs. 200
Rs. 250
Rs. 350

Answer :B