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7101.

The decimal equivalent of the binary number (11010.101)_(2) is

Answer»

`2^(23) + 1`
`2^(24) + 1`
`2^(92) + 1`
`2^(96) + 1`

ANSWER :D
7102.

The value of x^(1/2). y^(-1) .z^(2/3) , when x = 9, y = 3, and z = 8 is

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4
6
12
18

Answer :A
7103.

Shyam and Radha statrt their journey from A and B respectively at 10 a.m. to meet each other. After meeting each other Shyam reached at B in 24 min and Radha reached at A in 54 min. At what time will they meet ?

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ANSWER :`10:36` am
7104.

A survey of film watching habits of people living in five cities P, Q, R, S and T is summarised below in a table. The column I in five table gives percentage of film-watchers in each city who see only one film a week. The column II gives the total number of film-watchers who see two or more films per week. Which city has the highest number of film watchers who see only one film in a week?

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P
R
S
T

Answer :D
7105.

(cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=?

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`tan54^(@)`
`tan36^(@)`
`tan18^(@)`
`COT18^(@)`

ANSWER :A::D
7106.

The average weight of a group of 5 boys is 26. If we replace a boy of weight 25 in the group with another boy so that new average increases by 3, find the weight of the new body.

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33
40
34
56

Answer :D
7107.

Sometimes ago in a Cinema hall a blockbuster movie was being shown. Due to excessive demand of the show, manager of the cinema hall increased the prices of tickets in all the three categories. 25% in first class, 12.5% in special class and 40% in balcony. If the collection of one show was ₹ 218925, then find the collection from the balcony only given that the ratio of price of ticket (increased price) for first class, special class and balcony is 5: 9: 14 :

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109462.5
58800
14400
Data insufficient

Answer :D
7108.

If m and n are whole numbers such that, m^n = 169, then the value of (m-3)^(n+1) is

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1000
121
10
1

Answer :C
7109.

Sabarmati express takes 18 seconds to pass completely through a satation 162 m long and 15 seconds through another station 120 m long the length of the Sabarmati express is:

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132 m
100 m
80 m
90 m

Answer :D
7110.

The average age of a group of 6 boys is 19. If the new average age after a boy joins the group is 21.28, find the age of new boy.

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APPROX 23
Approx 32
Approx 35
none of these

Answer :D
7111.

The population of a village is 5000 and it increases at the rate of 2% every year. After 2 years, the population will be :

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5116
5202
5200
5204

Answer :B
7112.

(sintheta+sin2theta)/(1+costheta+cos2theta)=?

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`tantheta`
`sintheta`
`COSTHETA`
`TAN^(2)theta`

Answer :A
7113.

Find HCF of x^(3) + 3x^(2) y + 2xy^(2) and x^(4) + 6x^(3)y + 8x^(2) y^(2)

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ANSWER :`X(x+2y)`
7114.

A vessel contains 200 ltof milk. 20 ltof milk taken out from it and replaced by water. Then again from mixture 40 ltare taken out and replaced by water. Find the quantity of milk in this mixture now.

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ANSWER :`144 " LT "`
7115.

Findthe remainder when (17)^(23) + (29)^(23) is divided by 23.

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0
1
2
3

Answer :a
7116.

A company make a profit of ₹ 9,00,000, 20 % of which is paid as taxes. If the rest is divided among the partners P,Q and R in the ratio of 1:1:1/2:2 then the shares of P , Q & R :-

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240000, 320000, 160000
320000, 240000, 160000
160000, 320000, 240000
160000, 240000, 320000

Answer :D
7117.

A cylinderical chocobar has its radius r unit and height 'h' unit. If we wish to increase the volume by same unit either by increasing its radius alone or its height alone, then how many unit we have to increase the radius or height?

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`(r^2+2r)/H`
`(r^2-2rh)/h`
`(2r^2-rh)/h^2`
`(pir^2)/2H`

ANSWER :C
7118.

A rectangular block has length 10 cm, breadth8 cm and height 2 cm. From this block , a cubical hole of side 2 cm is drilled out . Find the volume and the surface area of the remaining solid :

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`152 cm^(3) , 512 cm^(2) `
`125 cm^(3) , 215 cm^(2) `
`152 cm^(3) , 240 cm^(2) `
`125 cm^(3) , 512 cm^(2) `

Answer :C
7119.

9 people went to a hotel for combined dinner. 8 people out of9 spend Rs. 27 each on dinner . 9th person spend Rs. 16 less than then average of all persons. Find the total expenditure on dinner.

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ANSWER :RS. 225
7120.

A number which whendivided by 10 leaves a remainder of 9, whendivided by 9 leaves a remainder of 8, and whendivided by 8 leaves a remainder of 7 , is :

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1539
539
359
1359

Answer :C
7121.

An item costing Rs 200 is being sold at 10% loss. If the price is further redcuced by 5%, the selling price will be:

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₹ 170
₹ 171
₹ 180
₹ 181

Answer :B
7122.

Which of the following is false? (i) If only the positive values of x are taken, the quadratic graph does not intersect the K-axis. (ii) if only negative values are taken, the quadratic graph does not intersect the X-axis. (iii)The intercept of X-axis can be known when we substitute x =0, in the quadratic function. (iv)There can be minimum zero and maximum two x-intercepts .

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(A) (i) and (IV)
(B) (i),(ii),(iii)and (iv)
(C) (i),(ii) and (iii)
(D) NONE of these

Answer :D
7123.

The value of log_(2)log_(2)log_(2)(65536) is:

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4
2
1
0

Answer :C
7124.

Progressive express left for New Delhi increasing its speed in each hour. Its started its journey from lucknow, but after four hours of its journey it met with accident its speed in the fourth hour was 7/5 times that of the third hour and the speed in the third hour was 10/7 times that of the second hour and in the second hour it was 7/5 times that of the first hour. if it would have been travelled with the half of the speed that of the third hour, then it would have gone 160 km less in the same time . The average speed of the train during the journey of 4 hours was:

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50 km/hr
90 km/hr
80 km/hr
Can't determined

Answer :B
7125.

A gentleman has 6 friends to invite. In how many ways, can he send invitation cards to them, if he has three servants to carry the cards?

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ANSWER :729
7126.

IF the priceof three types of riceare480576 and696 per quintal, then find the ratio in whichthese types of rices should be mixed,so that the resulant mixturecost564 per quintal ?

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0.92440972222222
1.1764699074074
0.5884375
`11:77:7`

ANSWER :D
7127.

Patna expresses travels first 560 km in 7 hours and rest 360 km in 9 hours.What is the average speed of the train?

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39 km/h
43 km/h
63 km/h
57.5 km/h

Answer :D
7128.

If a cube of maximum possible volume is cut off from a solid sphere of diameter d , then the volumeof the remaining(waste ) material of the sphere would be equal to :

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`(d^(3))/(3)(PI-(d)/(2))`
`(d^(3))/(3)((pi)/(2)-(1)/(sqrt(3)))`
`(d^(2))/(4)(sqrt(2)-pi)`
none of these

ANSWER :B
7129.

The smallest square number divisible by 10, 16 and 24 is:

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900
1600
2500
3600

Answer :D
7130.

Find the product of ((1)/(2)x^(2)-(1)/(3)y^(2))and((1)/(2)x^(2)+(1)/(3)y^(2))

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`1/9 y^4-1/4 x^4`
`1/4 x^4-1/9 y^4`
`4x^2-9y^4`
`1/4 x^4-1/9 y^9`

ANSWER :B
7131.

Find the 20th term of the AP 10,6,2,-2,-6,-10,……

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-66
106
96
none of these

Answer :A
7132.

A certain sum of money becomes 3 times of itself in 50years. Find the Rate of interest.

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ANSWER :0.04
7133.

If A = [k^3 + (k + 2)^3 + (k + 4)^3 + (k+ 6)^3 + (k+ 8)^3 + ……(k + 38)^3] and B = [k + (k + 2) + (k + 4) + (k + 6) + (k + 8) + …..(k + 38)] Now, if 'A' is divided by 'B', then the remainder will be (for every positive integer k) :

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A)0
B)1
C)k
D)NONE of these

ANSWER :A
7134.

For (_8)/3lexle8/3 the minimum and maximum values of f(x)=x^2-6x+18 are

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`81,(370)/9`
`11/9,26/9`
83173
`82/9,370/9`

ANSWER :D
7135.

The ratio of milk and water in two vessels having same capacity are 2 : 3 and 5 : 4. Both are pouredinto a third vessel, then find the ratio of milk and water in third vessel.

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ANSWER :`43: 47`
7136.

Let A=R-{3}, B=R-{1}. Let f:ArarrB be defined by f(x)=((x-2)/(x-3)), then

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a. F is bijective
b. Surjective
c. Injective
d. NONE of above

Answer :A
7137.

Answer these questions based on the following information. A rectangular field of 100xx10 is plotted into 10 square plots of 10xx10. Happy housing is a first customer who wants to buy 4 contiguous square plots to develop a society for women who are victims of domestic violence. in how many ways can he select 4 such plots that are all adjacent to each other?

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7
6
5
40

Answer :A
7138.

How many numbers between 1000 and 5000 are exactly divisible by 225 ?

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16
18
19
12

Answer :B
7139.

Find the value of (sin43^(@))/(cos47^(@)).

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0
1
`sin43^(@)`
`cos47^(@)`

ANSWER :B
7140.

The sequence of sets S_(1), S_(2),S_(3),S_(4),….. is defined as S_(1) = {1}. S_(2) = {3,5}, S_(3) = {7,9,11}, S_(4) = {13,15,17,19}….etc. The last element of the set S_(100) is:

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10099
9899
9900
none of these

ANSWER :A
7141.

The value of k if k35624 is divisible by 11 :

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2
5
7
6

Answer :D
7142.

A mixture of certain quantity of milk with 8 L of water is worth 45 paise per litre. If pure milk be worth 54 paise per litre, how much milk is there in the mixture?

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40 L
35 L
25 L
45 L

Answer :A
7143.

How many tiles 20 cm by 40 cm will be required to pave the floor of a prayer hall of a room 16 m long and 9 m wide :

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18000
2700
1800
14400

Answer :C
7144.

The total expenses of a hostel were Rs. 8000 per month. Some students left the hostel due to which the new expenses come down by Rs. 1000. Find the percentage decrease in expenses of the hostel.

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SOLUTION :`1000/8000 RARR 1/8 rarr 125%`
7145.

A train starts from a station and after traveling 100 km meets with an accident. And then the speed of the train reduces by 1/4th of its former speed. And travelling the remaining distance it reaches to its destination 1(7)/(8)hours late . Iftheaccident occured 60 Kmaheadthen it reaches 15 min earlier . The find its originalspeed and the distanceof its journey ?

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ANSWER :80 KM/h, 550 km
7146.

The value of log_(sqrt(5)) 5832 is

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12
9
6
none of these

ANSWER :D
7147.

Answer these questions independently of each other 5 men and 4 women are to be seated for a dinner, In a row, such that all the women do not sit together. Find the number of ways in which this arrangements can be done.

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345600
348800
347200
216006

Answer :A
7148.

7% of S.P. of an article is equal to 8% of C.P. and 9% of S.P. is Rs 1 more than 10% of C.P. Find C.P. of article?

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ANSWER :RS. 350
7149.

Answer these questions independently of each other 5 men and 4 women are to be seated for a dinner, In a row, such that women occupy the even places. Find the number of ways in which this arrangements can be done.

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2880
1440
720
2020

Answer :A
7150.

A sum of Rs. 16400 was taken at the rate of 5% per annum to be paid back in two equal annual installments. Find the value of each installment.

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ANSWER :RS. 8820