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1951.

A student scored 30% marks and failed by 45 marks. Another student scored 42% marks and scored 45 marks more than the passing marks. Find the passing marks.

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ANSWER :270
1952.

The value of (cos^(3)20^(@)-cos^(3)70^(@))/(sin^(3)70^(@)-sin^(3)20^(@))=?

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5
7
1
3

Answer :C
1953.

A box contains two red, three green and four blue balls. In how many ways can three balls be drawn from the box if atleast one green ball is to be included in the draw?

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23
64
46
none of these

Answer :B
1954.

What was the day of the week on 17 july 1776 ?

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a) Wednesday
b) THURSDAY
c) Monday
d) Saturday

ANSWER :A
1955.

x@y = (x + y)^2 x#y = (x-y)^2 Find the value of (20@4)#35:

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280081
292681
262781
301756

Answer :B
1956.

A sells an article to B at profit of 20% . B sells it to C at 25% profit If C has paid Rs 225 then at what price A had purchased it ?

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ANSWER :RS. 150
1957.

Two bottles A and B contain diluted sulphuric acid.In bottle A the amount of water is double to that of acid. While in bottle B, the amount of acid is 3 times that of water. How much mixture should be taken from each bottle in order to prepare 5 ltof diluted sulphuric acid containing equal amount of acid and water?

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ANSWER :3 LT, 2LT
1958.

A milkman has two types of milk. In the first container the percentage of milk is 80% and in the secondcontainer the percentage of milk is 60%. If hemixes 28 ltof milk from the first container and the 32 ltof milk from the second container, then the percentage of milk in the mixture is :

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ANSWER :`691/3 %`
1959.

If a+b+c = 0 find (a^(2))/(bc) + (b^(2))/(ca) + (c^(2))/(ab)= ?

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ANSWER :3
1960.

If No . 1 to 50 are multiplied together . Findthe max power of 7.

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ANSWER :`=8`
1961.

A fruit seller declares that he sells fruits at the cost price. However, he uses a weight of 450 g instead of 500 g. His percentage profit is:

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`10%`
`11(1)/9%`
`12%`
`12(2)/9%`

Answer :B
1962.

Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20%of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant?

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ANSWER :`36%`
1963.

A function is defined as f(x)=a^(x)AA x in R and 0ltalt1, then which of the following is true? (i) It is an increasing function (ii) It is a decreasing function (iii) All such functions must meet at (0, 1)

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only (i) is TRUE
only (II) is true
(i) and (III) are true
(ii) and (iii) are true

Answer :D
1964.

A sum of money becomes 8 times of itself in 12 years at C.I. In how many years it will become 16 times of itself.

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ANSWER :16 YEARS
1965.

a:b::2:3,b :c::4:5, find a:b:c.

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`8:12:15`
`4:3:5`
`4:6:9`
`2:4:7`

ANSWER :A
1966.

Anjali and Bhagwat fired 45 shots each. Total 66 bullets hit the target and the remaining bullets missed it. How many times does the Anjali hit per one miss shown by the Anjali is twice that of Bhagwat?

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30
36
40
35

Answer :B
1967.

Bipin is 6 times old as Alok. Bipin's age will be twice of chandan's age after 10 years. If chandan's 7^(th) birthday was celebrated 3 years ago, what is Alok's present age?

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15 years
12 years
5 years
none of these

Answer :C
1968.

5/4 th of a number is 60 more than half of the same number the required number is :

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50
180
90
80

Answer :D
1969.

For any integers a and b with HCF (a, b) = 1 , what is HCF (a +b, a - b)equal to?

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It is ALWAYS 1
It is always 2
Either 1 or 2
None of the above

Answer :C
1970.

In the given pie-chart. what is the number of employees working in department A?

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It should reduce TWO binders and 1 TYPIST
It should reduce THREE binders only
It should reduce 1 typist, 1 composer and 1 binder
both (a) and (b) are possible

Answer :D
1971.

Find the cube root of 3375.

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1972.

ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB=3.6 cm, AC=2.4 cm and AD=2.1 cm, then AE is equal to :

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1.4 cm
1.8 cm
1.2 cm
1.05 cm

Answer :A
1973.

Titan sells a wrist watch to a wholesaler making a. profit of 10%. The wholesaler, in turn, sells it to the retailer making a profit of 10%. A customer purchases it by paying .₹ 990. Thus, the profit of retailer is 2(3)/11%. What is the cost incurred by the Titan to produce it?

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768
750
800
820

Answer :C
1974.

If costheta+cos^(2)theta=1, then find the value of sin^(4)theta+sin^(2)theta.

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`-1`
5
0
1

Answer :D
1975.

If [x] denotes greatest integer function less than or equal to x and {x} denotes fractional part then the number of real values of x satisfying equation (x−2)[x]={x}−1, is

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a. `-1`
b. 0
c. 1
d. none of these

Answer :A
1976.

8 years ago Rama's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter . Find the present age of Rama?

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ANSWER :6200
1977.

The sum of all 4 digit numbers which divided by 4 leave the remainder 1:

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12372750
12327027
12370705
109980

Answer :A
1978.

Multiply (a+b) by (c+d)

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SOLUTION :(a+b)(c+d)=ac+ad+bc+bd
1979.

A travel agency has three types of vehicles viz.four seater autorickshaw 10 seater maxi cab and 20 seater minibus the rate of each passenger(irrespective of its age or weight or seniority) for the auto rickshaw is ₹12 and for the maxicab is ₹15 and for the minibus is ₹8 for the one round the average occupancy of the seats is 100% ,80% and 75% respectively if he has only one vehicle of each kind,then the average earning for one round of each vehicle is:

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`₹96`
`₹90`
`₹86`
`₹70`

ANSWER :A
1980.

If (5y+62)^(@), (22^(@)+y) are supplementary, find y :

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`16^@`
`32^@`
`8^@`
`1^@`

ANSWER :A
1981.

Simplify the following expressions : 6/7 div 2/7 xx 14/3

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1982.

Solve for x : (x-1)^3+ (x-2)^3+(x-3)^3+(x-4)^3+(x-5)^3 = 0.

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`3,2+-sqrt6i`
`3,3+-sqrt6i`
`2,3+-sqrt5i`
`0,3+-sqrt5i`

ANSWER :B
1983.

If a triangle is inscribed in a regular decagon such that all the three vertices of the triangle are the vertices of the decagon, but none of the triangle's sides is the side of the decagon.How many such triangles can be formed?

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40
50
60
70

Answer :B
1984.

Find max^(m)&min^(m) value of 10sin^(2)alpha+23cos^(2)alpha.

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ANSWER :`-23`
1985.

At what time between 1 o clock and 2 o clock will the hands of a clockbe together

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ANSWER :`5(5)/(11)` MIN past 7
1986.

The sum of all the natural numbers from 51 to 100 is

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5050
4275
4025
3775

Answer :D
1987.

Munna and Chinna are partners in a firm out of which Munna is sleeping partner and Chinna is working partner. Munna invests Rs. 1,40,000 and Chinna invests Rs. 80,000. Chinna receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. Munna's share in the profit of Rs. 19600 is ?

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A) RS. 9580.25
B) Rs. 10600
C) Rs. 10664.15
D) Rs. 11060.48

Answer :2
1988.

A and B working together can finish certain piece of work in 10 days. If A works at (2)/(3)of his actual efficiency and B works at (5)/(3)of his actual efficiency, then work will be completed in 9 days. If A works at (1)/(2)of his actual efficiency and B works at double of his actual efficiency, then in how many days work will be finished?

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ANSWER :`8(4)/(7)` DAYS
1989.

A person bought some article at rate of 36 for Rs 189 and sold them at the rate of 45 for Rs 189. Find the profit or loss %.

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ANSWER :20% LOSS
1990.

If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-a) + r(a-b) equals to :

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0
1
3
abc/pqr

Answer :A
1991.

underset("n-digit")ubrace((666…6)) + underset("n-digit")ubrace((888…8)) is equal to :

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A)`(14(n^2 - 1))`
B)`(48)/(9) (10^(2N) -1)`
C)`(14)/(9) (10^n -1)`
D)none of these

Answer :C
1992.

Two cards are drawn at random from a well-shuffled pack of 52 cards. What is the probability that either both are red or both are queens?

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`17/112`
`55/221`
`55/121`
`33/221`

ANSWER :B
1993.

If P=2^(3).3^(10).5: Q = 2^(5).3.7, then HCF of P and Q is:

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`2.3.5.7`
`3.2^(3)`
`2^(2)3^(7)`
`2^(5).3^(10).5.7`

Answer :B
1994.

A sum of money becomes (7)/(6) of itself in 3 years at certain rate of simple interest. The rate per annum is

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`5(5)/(9)%`
`6(5)/(9)%`
18%
25%

Answer :A
1995.

If sintheta+costheta=(7)/(5), find sintheta.costheta.

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ANSWER :`(12)/(25)`
1996.

A has certain amount in his account. He gives half of this to his eldest son and one third of the remaining to his youngest son. The amount with him now is :

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`1//3` of the ORIGINAL
`2//3` of the original
`3//4` of the original
`1//6` of the original

Answer :A
1997.

For all the non-negative real x, what is the minimum and maximum non-negative value of y, where. y= -x^2+8x+20?

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0,36
18,36
0,20
none of these

Answer :A
1998.

sqrt(?)+28=sqrt(1681)

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13
225
216
169

Answer :D
1999.

One' is

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PRIME number
COMPOSITE number
Both (a) and (b)
NEITHER (a) nor (b)

ANSWER :D
2000.

Spiritual Guru H. E. Dalai Lama is on a world tour to speak on peace and compassion. His itinerary mentions only four continents - Asia, Africa, Europe and America - for this visit. What is the minimum number of countries he should visit to ensure that at least 21 Asian or at least 16 African or at least 11 European or at least 6 American countries must be visited?

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24
51
54
57

Answer :B