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3951.

The difference between simple and compound interest compounded annually on a certain sum of 10000 is 64 for 2 years. Find the interest?

Answer»

a. 8%
B. 64%
C. 4%
d. 2%

ANSWER :A
3952.

There are three containers A, B and C which contain water, milk and acid respectively in equal quantities.10% of the content of A is taken out and poured intoB. Then, the same amount from B is transferred to C,after then the same amount from C is transferred to A. What is the proportion of milk in container A atthe end of the process?

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ANSWER :`1/(121)`
3953.

The ratio of ages of Krishna and Balram is 3:4. Four years earlier the ratio was 5:7. Find the present ages of Krshna and Balram:

Answer»

Solution :LET the PRESENT age of Krishna and BALRAM be 3X and 4x Four years AGO their ages be (3x-4) and (4x-4) S0, `(3x-4)/(4x-4)=5/7 implies 7(3x-4)=5(4x-4)`
`implies 21x-28=20x-20`
`implies ` x=8
therefore present age of Krishna =3x=24 years and age of Balram=4x=32 years
3954.

The sum of Rs. 2495 is divided among A, B and C such that if we decrease Rs. 15 of share A, Rs. 30 of share B and Rs. 50 of share C. Then the ratio become 3 :2:7. What are the share of A, B and C.

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`615, 430, 1450`
`620, 435, 1425`
`600, 400, 140`
`620, 420, 1400`

Answer :A
3955.

Find the sum to n terms of the series 3+6 + 10 + 16 + …

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`(N(n-1))/2-1`
`n(n+1)+2^n-1`
n(n+2)+1
`3(2n+1)-2^n`

ANSWER :B
3956.

Find the value of ^10C_0 + ^10C_2 + ^10C_4 + ….

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`INFTY`
`2^9`
`2^10 - 1`
`4^9 - 1`

ANSWER :B
3957.

A cigarette pack is 5/6 th full of its capacity, then 5 cigarettes were taken out and 2 another cigarettes were put inside the pack. Now it is 4/5 full. How many cigarettes can this pack contain when it is full?

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90
80
72
can't be determined

Answer :A
3958.

The price of an article reduces to 576 after two successive discounts. The markup is 80%above the cost price of ₹ 500. What is the new profit percentage if instead of two successive discounts the markup price was further increased successively two times by the same percentage?

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`259.2%`
`59.2%`
`159.2%`
con't determinerd

Answer :C
3959.

The probability that an MBA aspirant will join IIM is 2/5 and that he will join XLRIis1/3. find the probability that he will join IIM or XLRI.

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`4/15`
`7/15`
`11/15`
`8/15`

ANSWER :C
3960.

There is a cyclic trapezium. It has mid point segment= 13 cm It's area 52 cm^(2). One base is 10 cm find it perimeter

Answer»


ANSWER :
3961.

Find the value of (13)^3

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SOLUTION :
`THEREFORE (13)^3 = 2197`
3962.

An Item costing ₹ 600 is being sold at 20% loss. If the price is further reduced by 12.5%, the selling price will be :

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₹ 400
₹ 380
₹ 420
₹ 525

Answer :C
3963.

A petrol pump dealer adds 2 litres of kerosene with every 8 litres of petrol before selling the petrol to his customers. The kerosene is actually 25% cheaper than the petrol. While selling it to his customers, he gives 10% less than what he claims to give and mark the price up by 71% with comparison to the cost price of petrol, What is the overall profit (%) earned by the dealer?

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10
11.11
12.1
0

Answer :D
3964.

In a 200 m race, A runs at a speed of 2 m/s. If A gives B a start of 10 m and still beats him by 5 s, what will be the Speed of B?

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`1 (17)/(21)` m/s
`3 (17)/(21)`m/s
`21 m//s`
`2 m//s`

ANSWER :A
3965.

Mr. Sharma travels by car and covers 25% of his journey with a speed of 10 km/h, 45% of his journey with a speed of 5km/h and remaining 30% of his journey with a speed of 15km/ h. What will be the average speed of Mr. Sharma for the whole journey?

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ANSWER :7.40 km/h
3966.

There is some average of 8 innings of a batsman. He scores 100 runs in9^(th)innings then average is increased by 9 runs. Find his current average

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ANSWER :28
3967.

If (x^(2))/(by+cz) = (y^(2))/(ax+ cz) = (z^(2))/(ax + by)=2 (x)/(x+2a) + (y)/(y+ 2b) + (z)/(z+ 2c)= ?

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ANSWER :2
3968.

Which of the following graph represents e^(-x)?

Answer»




ANSWER :B
3969.

The simplification of 3.bar(36) - 2.bar(05) + 1.bar(33) equals:

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`2.6`
`2.bar(61)`
`2.64`
`2.bar(64)`

ANSWER :D
3970.

A tank contains a mixture of 70 lt of milk and water. 65% of the milk and 30 % of the water are withdrawn.Therefore 60% part of the tank is remaining. Find the initial quantity of milk and water in the tank.

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ANSWER :`M to `20 , LT, `W to `50 lt
3971.

If x=7+4sqrt3 and xy=1 then the value of (1/x^2+1/y^2) is

Answer»

194
57
`85sqrt3`
`(7+4sqrt3)/(7-4sqrt3)`

ANSWER :A
3972.

Find the area of the shaded region in fig., where ABCD is a square of side 14 cm and four circles are of same radii each.

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`128 CM^(2) `
`192 cm^(2) `
`148 cm^(2) `
`168 cm^(2)`

ANSWER :A
3973.

A can do a piece of work in 2 hours, B can do thrice the work in 8 hours and C can do the same work as A in 8 hours. If all of them work together, how long it would take them to complete the work :

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1 hours
2 hours
3 hours
4 hours

Answer :A
3974.

Solve the following system of equations:1/(2x)-1/y=-11/x+1/(2y)=9,w h e r ex!=0,y!=0.

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2/3,2/5
1/4,1/5
1/6,1/4
(-1/6),(-1/4)

ANSWER :C
3975.

The volumes of a sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to the height of the cylinder is

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`2 PIR^(3) `
`8 pi R^(3) `
`(4)/(3) pi R^(3) `
NONE of these

Answer :A
3976.

In the given figure, angleCAB = 40^(@) and angleAKB = 105^(@). Find angleKCD :

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`65^(@)`
`35^(@)`
`40^(@)`
`72^(@)`

Answer :B
3977.

Multiply 287 by 19.

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SOLUTION :`287 XX(10 + 9) = 287 xx 10 + 287 xx 9`
= `2870 + 287 xx (10-1)`
3978.

Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is :

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`1:1`
`SQRT(2):1`
`1:3`
`1:2`

ANSWER :A
3979.

PT is a tangent to a circle with centre O and radius 6cm. If PT is 8cm then length of OP is:

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a.10cm
b. 12cm
c. 16 cm
d.none of these

ANSWER :A
3980.

Convert (0.825)_10 to octal.

Answer»

SOLUTION :
3981.

A, B and C completed a work costing Rs 1800. A worked for 6 days, B worked for 4 days and C worked for 9 days. If their daily wages are in the ratio of 5:6:4, how much amount will be received by A.

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A. 600
B. 500
C. 900
D. 450

Answer :A
3982.

If -4 is a root of the quadratic equation x^(2)-px-4=0 and the quadratic equation x^(2)-px+k=0 has equal roots, find the value of k:

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`9//4`
1
2.5
3

Answer :A
3983.

A sphere has the same curved surface as a cone of height 12 cm and base radius 5 cm. Find the radius to the nearest cm .

Answer»

SOLUTION :`4pi R^2 = pi xx 5 xx 13`
`IMPLIES r^2 = (65)/4`
`implies r = 4cm`(approx.)
3984.

A train covers a distance in 1 h 40 min, if it runs at a speed of 96 km/h on an average. Find the speed at which the train must run to reduce the time of journey to 1 h 20 min.

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a. 120 km/h
B. 90 km/h
c. W.A km/h
d. 150 km/h

Answer :A
3985.

The ratio of speeds of A is to B is 2:3 and therefore A takes 20 minutes more time than B takes.What is the time taken by A and B ?

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1 h
1.2 h
0.6 h
30 min

Answer :A
3986.

Three numbers are in the ratio 2 : 3 : 4. If their LCM is 240, the smaller of the three numbers is:

Answer»

40
60
20
80

Answer :A
3987.

If p /q = r/s ,then ((p +q)/( r + s )) = ?

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<P>a) `(PQ)/(rs) `
B) `(pr)/(qs)`
C) `((p - q)/(r -s))^2`
d) 1

Answer :A
3988.

Find rational number between a and b .

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19
9
17
none of these

Answer :D
3989.

The value of 1/(log_100n)+1/(log_99n)+1/(log_98n)+...+1/(log_2n) is :

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1
`1/(log_1001n)`
`1/(log_n991)`
`1/(log_n1001)`

ANSWER :B
3990.

What is the locus of the vertices of all the quadratic equations whose roots are m times the certain given roots sayalphaandbeta?

Answer»

Polygon
Parabola
A LINE PARALLEL to X-axis
Nothing can be said

Answer :C
3991.

Watch India Corporation made a wrist watch in which the minute hand makes one complete round of dial in 12 minute and accordingly the hour hand too. When I have set this watch at 12:00 noon on Ist February this year. Which time will be shown by this watch at 3 O'clock on the same day.

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`2 : 30` P.M.
`6 : 15` A.M.
3 O' clock
can't be determined

Answer :C
3992.

A sum of money at compound interest becomes Rs. 650 at the end of one year and Rs. 676 at the end of the second year. The sum of money is :

Answer»


ANSWER :RS. 625
3993.

If sqrt2:(1+sqrt3)::sqrt6:x then x=

Answer»

1+sqrt3`
`sqrt3-1`
`sqrt3+3`
`2SQRT3`

ANSWER :C
3994.

(A + B) working together can finish certain piece of work in 8 days and (B + C) can finish it in 12 days. If A works for 4 days and B works for 7 days, rest work is done by C in 9 days. In how many days C will finish the work working alone?

Answer»


ANSWER :24 DAYS
3995.

When we divide 15192327 by 99 the remainder will be :

Answer»

98
84
30
none of these

Answer :B
3996.

In a 50 litre mixture of water and milk, water is only 20%. The milkman gives 10 liters of this mixture to a customer and then he adds up 10 liters of pure water in the remaining mixture. The percenatge of water in the final mixture is :

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`84%`
`74%`
`26%`
`36%`

ANSWER :D
3997.

(2)/(3)of three-fourth of a number is :

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`(1)/(2)`
`(1)/(3)`
`(8)/(9)`
`(17)/(12)`

ANSWER :A
3998.

Find the co-orduinates of the point which divides the join of the points (2, 4) and (6, 8) externally in the ratio 5 : 3 :

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(5, 6)
(12, 14)
(3, 8)
(2, 7)

Answer :B
3999.

If sqrt(2)=1.4142, then find the value of 2xx(sqrt(2))/((2+sqrt(2))).

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`0.8284`
`0.8184`
`0.8283`
`0.8483`

ANSWER :A
4000.

If f(x)=x^(n), n in N and (gof)(x)=ng(x), then g(x) can be :

Answer»

a. `n|X|`
B. `root3(x)`
c. `e^(x)`
d. `LOGX`

ANSWER :D