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3051.

A square is inscribed in a circlethen another circle is inscribed in the square . Another squareis then inscribed in the circle.Finally a circle is inscirbed in the innermostsquare . Thus there are 3 circlesand 2 squaresas shown in the figure . The radius of the outer - most circle is R . What is the radius of the inner - most circle ?

Answer»

`(R)/(2) `
`(R)/(sqrt(2))`
`sqrt(2R) `
NONE of these

ANSWER :A
3052.

If (a-7)(b-10)(c-12)= 1000, then the lest possible value of (a + b + c) equals :

Answer»

59
29
14
any INTEGER LESS than 1000

ANSWER :A
3053.

Priyambda wins the race over Kokilaben by 150 m in a race of 1 km but when she gives a startup of 5 seconds to Kokilaben she wins by 65 m. Find the speed of Kokilaben.

Answer»


ANSWER :17 m/s
3054.

If (sqrt(1296))/(x)=(x)/(2.25), then find the value of x.

Answer»

6
8
7
9

Answer :D
3055.

How many degrees are there in an angle which equals one - fifth of its supplement?

Answer»

`15^@`
`30^@`
`75^@`
`150^@`

ANSWER :B
3056.

Which of the following algebric expressions are polynomials? x^3-3x^2+4sqrtx

Answer»

SOLUTION :`X^3-3x^2+4sqrtx` is not POLYNOMIAL SINCE `4sqrtx=4x(1/2) `POWER of x is 1./2 .
3057.

Let A and B be independent events such that P(A)=0.6 and P(B)=0.6 find(P(overset-A nn B).

Answer»

0.24
0.16
0.36
none of these

Answer :B
3058.

Find the smallest number which is exactly divisible by x, y , z .

Answer»


ANSWER :LCM of X,y,Z
3059.

A person starts typing the numbers from1 to 1999. He press the keys total 'n' number of times. The value of n is L

Answer»

6889
1000
2888
None of these

ANSWER :A
3060.

In the given triangle ABC, CD, BF and AE are the altitudes. If the ratio of CD: AE : BF = 2:3:4, then the ratio of AB : BC: CA is :

Answer»

`4:3:2`
`2:3:4`
`4:9:16`
`6:4:3`

ANSWER :D
3061.

A passenger sitting in a train of length 100 m, which is running with speed of 60km/h passing through two bridges, notices that the crosses the first bridge and the second bridge in time intervals which are in the raito of 7 : 4 respectively. If the length of first bridge be 280 m, then the length of second bridge is.

Answer»

490 m
220m
160m
can't be determined

Answer :C
3062.

Find the value of i^(170).

Answer»

SOLUTION :`i^170=(i^4)^42xxi^2=i^2=-1`
3063.

The ratio of income of A, B and C is 7:9:12. The ratio of expenditure is 8: 9:15. If savings of A is (1)/(4) of itsincome. Then the ratio of there savings.

Answer»

`56:69:99`
`56:99:60`
`69:56:99`
`56:99:79`

ANSWER :B
3064.

Parveen gets 40 marks out of 50 in computer science 70 out of 100 in manufacturing science and 142 out of 150 in proffesional communication The average marks of Parveen(in percent)in all the three subjects is:

Answer»

0.84
0.76
0.71
0.6

Answer :A
3065.

What will be the present worth of4840 due 2 yr hence, when the interest is compounded at 10% per annum? Also, find true discount.

Answer»


ANSWER :RS. 840
3066.

In the Regional Science Centre, Lucknow the rate of ticket is increased by 50% to increase the revenue, but simultaneously 20% of the visitors decreased. What is percentage change in the revenue of Regional Science Centre. If it is known that the centre collects the revenue only from the visitors and it has no other financial supports:

Answer»

`+20%`
`-25%`
`+30%`
can't be determined

Answer :A
3067.

How many of the following relations is/are always true for any real values of p and q? abs(p+q) = absp + absq abs(p-q) = absp - absq abs((p)/q) = abs((p)/q)

Answer»

1.None
2.one
3.two
4.three

Answer :C
3068.

A person X started 3 hours earlier at 40 km/h from a place P, then another person Y followed him at 60 km/h, started his journey at 3 O' clock, afternoon. At what time the difference between X and Y was 30 km, but before Y overtakes X?

Answer»

`6:30` PM
`7:30` pm
`8:75` pm
none of these

Answer :B
3069.

A vistern can be filled by two supply pipes in 20 minutes and 30 minutes respectively. But a waste pipe can empty it in an hour. Both the spply pipes were opened together to fill the empty cistern, but by mistake the waste pipe was also open. Some timelaterthe waste pipe was closed. How much later was the waste pipe closed, if the cistern is filled in 14 minutes?

Answer»

6 minutes
8 minutes
10 minutes
12 minutes

Answer :C
3070.

if the quadratic equation is 3x^2+2x-1=0. then positive value of x is

Answer»

`4`
`1/3`
`-1/3`
`3`

ANSWER :D
3071.

How many necklaces of 12 beads can be made from 18 beads of various colours?

Answer»

`(118xx13!)/(2)`
`(110xx14!)/(2)`
`(119xx13!)/(2)`
`(110xx12!)/(2)`

ANSWER :C
3072.

The ratio of income of A, B and C is 3 : 4:5 and there expenses are in the ratio 4: 5:6. If savings of A is (1)/(4) of its income. Then find the ratio of their savings.

Answer»

`12:19:26`
`13:20:27`
`19:12:26`
`14:21:29`

ANSWER :A
3073.

A shop keeper sells three varieties of perfumes and he has a large number of bottles of the same size of each variety in this stock. There are 5 places in a row in his show case. The number of different ways of displaying the three varieties of perfumes in the show case is

Answer»

A. 250
B. 125
C. 150
D. 300

Answer :B
3074.

The radius of an iron rod decreased to one-fourth. If its volume remains constant , the length will becomes :

Answer»

2 times
8 times
4 times
16 times

Answer :D
3075.

1/4[sqrt(3)cos2 3^(@)-sin2 3^(@)]=

Answer»

`cos53^(@)`
`COS7^(@)`
`(1)/(2)cos7^(@)`
`(1)/(2)cos53^(@)`

ANSWER :D
3076.

(sec8A-1)/(sec4A-1)=?

Answer»

`(TAN2A)/(tan8A)`
`(tan8A)/(tan2A)`
`(cot8A)/(cot2A)`
`(cot2A)/(cot8A)`

ANSWER :A::B
3077.

The product of two numbers is 216. If the H.C.F is 6, then their L.C.M is:

Answer»

a. 72
b. 60
c. 48
d. 36

Answer :A
3078.

(1/(log_(a)bc+1) + 1/(log_(b) ac +1) + 1/(log_(c)ab+1)+1) is equal to:

Answer»

1
2
0
abc

Answer :A
3079.

There are these bottles of water K, L, M whose capacities are 9 litres, 5 litres and 4 litres respectively. For transferring water from one bottle to another and to drainout the bottles, the there exists a piping system. The flow through these pipes is computer controlled. The computer that controls the flow through these pipes can be fed with three types of instructions, as explolner below. Initially K is completely filled up with water and L, M are empty. How much water would be there in bottle labelled L after the execution of the sequence of the following four instructions : First instructuion : Fill (L, K) Second instruction : Fill (M, L) Third instruction : Empty (L, K) Fourth instruction : Empty (M, L)

Answer»

0 litre
4 litres
5 litres
none of these

Answer :B
3080.

A series is given as : 1,4,9,16,25,36,….. Then the value of T_(n + 1) - T_(n) is, where T_n is the nth term of the series is:

Answer»

`n^2-1`
2n+1
`n^2+1`
NONE of these

Answer :B
3081.

If xya= (3x+y)^2 - (3x−y)^2 , then the value of a is

Answer»

12
6
0
18

Answer :D
3082.

If p+1/P=q then for p gt 0 :

Answer»

q = 0
`-2ltqlt2`
`q ge 2`
NONE of a,b,c

Answer :C
3083.

Rotomac produces very fine quality of writing pens. Company, knows that on an average 10% of the produced opens are always defective, so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at₹ 10 each. It estimates the overall profit on all the manufactured pens to be25%. What is the manufacturing cost of each pen?

Answer»

₹ 6
₹ 7.2
₹ 5.6
₹ 8

Answer :B
3084.

Twodiceare rolledsimultaneously . Find theprobability of gettingatleast one'5'.

Answer»

`3/5`
`1/5`
`5/36`
`11/36`

ANSWER :D
3085.

परिमेय असमिका का हल ज्ञात करों .(x^2+6x-7)/(|x+3|)lt0

Answer»

`(-3,-1)UU(-1,7)`
`(-7,-3)uu(-3,1)uu(1,3)`
`(-7,3)uu(3,1)`
`(-7,-3)uu(-3,1)`

ANSWER :D
3086.

Number of different colleges in India in different years is given in the graph below. Distribution of different colleges in the years 1980 and 1990 shown in the pie charts below : What is percentage increase in the number of colleges from 1960 to 1990 ?

Answer»

10
9.4
10.4
4.7

Answer :B
3087.

Number of different colleges in India in different years is given in the graph below. Distribution of different colleges in the years 1980 and 1990 shown in the pie charts below : By what percentage did the no. of Engineering colleges go up from 1960 to 1970 ?

Answer»

0.38
0.28
0.42
cann't be determined

Answer :D
3088.

Number of different colleges in India in different years is given in the graph below. Distribution of different colleges in the years 1980 and 1990 shown in the pie charts below : if the projected increase in the number of colleges in 2000 over 1990 is to be the same in all the categories of colleges, the percentage of medical colleges in 2000 will be :

Answer»

0.09
0.11
0.07
0.13

Answer :B
3089.

Number of different colleges in India in different years is given in the graph below. Distribution of different colleges in the years 1980 and 1990 shown in the pie charts below : Till 1990 what was the highest increase in the number of colleges in mu decade ?

Answer»

1.5
1.6666
2
1.4

Answer :B
3090.

Find the difference between the simple and compound interest on Rs. 8000 for 3 years at 5 percent.

Answer»


ANSWER :RS. 61
3091.

A train from A leaves at 7 am at the speed of 70 km/ h to reach B and similarly. A train from B leaves at the speed of 60 km/h at 8 am. If distance between A and B is 720 km. Find the time taken by them to meet each other.

Answer»


ANSWER :`1 PM`
3092.

Simplify : (2(3)/(4))/(1(5)/(6)) +7/8 xx(1/3 + 1/4) + 5/7 + 3/4of 3/7

Answer»

`(56)/(77)`
`113/28`
`2/3`
`3(2)/(9)`

ANSWER :D
3093.

If 36 men can build a wall of 140 m length in 10.5 days, how many men could take 9 days to build a similar type of wall of length 50 m?

Answer»


ANSWER :15
3094.

A person loses ₹ 20 by selling some bananas at the rate of ₹ 3 per banana and gains ₹ 30, if he sells them at ₹ 3.25 per banana. The number of bananas sold by him:

Answer»

100
200
120
2400

Answer :B
3095.

If cosec39^(@)=x, then the value of (1)/(cosec^(2)51^(@))+sin^(2)39^(@)+tan^(2)51^(@)-(1)/(sin^(2)51^(@)sec^(2)39^(@)) is.

Answer»

`SQRT(X^(2)-1)`
`sqrt(1-x^(2))`
`x^(2)-1`
`1-x^(2)`

Answer :C
3096.

Find the distance of a line 4x+3y+13=0 from a point (4,3)

Answer»


ANSWER :`d=|(C)/(SQRT(a^(2)+B^(2)))|`
3097.

The circumference of a circle is 128 m. What is the area of the circle ?

Answer»

`4096/pi`
`5056/pi`
`5550/pi`
NONE of these

Answer :B
3098.

writedownall thepermutationsof theset of fourletters E,O,N,Ttakentwoat atime

Answer»


ANSWER :`(n-r-1).(n-r)`
3099.

Find the value of :20% of 1 hour

Answer»

A) 10 minutes
B) 20 minutes
C) 30 minutes
D) 40 minutes

Solution :2 LAKH rupees
3100.

Two pencils are the 24 cm and 42 cm . If we want to make them of equal size then minimum no. of similar pencils is :

Answer»

6
11
12
none of these

Answer :A