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501.

Two pipes A and B can fill a tank in 15 hours and 20 hours respectively while a therd pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed. Now how much time more is required to fill the tank?

Answer»

2 hrs
3 hrs
6 hrs
1 hr

Solution :LET the required time be T hours. Now PART filled by A
in `(10+T)` hours + part filled by B in `(10+T)` hours +
part empty by C in 10 hours = 1
` RARR (T+10)/15 + (T+10)/20 - 10/25 = 1 rArr T = 2 hrs`
Discussion
502.

If the perimeter of a rectangle and a square each is equal to 80 cm and the difference of their areas is 100 sq. cm, the sides of the rectangle are:

Answer»

25 cm, 15 cm
28 cm, 12 cm
30 cm, 10 cm
35 cm, 15 cm

Answer :C
Discussion
503.

If 18,x,x,256 are proportion, find x.

Answer»

SOLUTION :81 : x :: x : 256 `IMPLIES 81 xx 256 = x xx x impliesx = 144
Discussion
504.

A quality x varies inversely as the square of y. Given that x=4, when y=3, the value of x when y=6 is

Answer»

1
2
3
4

Answer :D
Discussion
505.

When 'n' is divisible by 5 the remainder is 2. What is the remainder when n^2is divided by 5 ?

Answer»

2
3
1
4

Answer :D
Discussion
506.

A dishonest milkman buy some milk at Rs. 10 /lt and mixed 5 lt water to this milk and then sold it Rs. 12 /lt and gains 30 % profit. Find the quantity of milk that he bought.

Answer»


ANSWER :`60 " LT "`
Discussion
507.

An examination consists of 80 questions carrying 1 mark each. Arpita answered 65%of first 40 questions right. Find the percent of questions she needs to get right in remaining questions to score 75%in the examination.

Answer»


ANSWER :`85%`
Discussion
508.

A and B working together can finish a job in x days. If A works alone and completes the job, he will take (x + 5) days. If B works alone and completes the same job, he will take (x + 45) days. What is x?

Answer»

25 days
15 days
60 days
None of these

ANSWER :B
Discussion
509.

A man bought a scooter and a car. He sold all of them at 30% profit. Scooter is sold at 10% profit. Cost price of scooter is 1/10 of the cost of car. Marked price of a car is ₹ 4,50,000. If he bought scooter at a discount of 20% on marked price and car at a discount of 10% on marked price then, what will be the ratio of marked price of scooter to the selling price of the car.

Answer»

25/264
25/268
35/260
34/260

Solution : C.P of CAR `= (90)/(100) xx 4,50,00 = ₹ 4,50,000`
C.P of scooter `= (1)/(10) xx 4,05,000 = ₹40,500`
MP of scooter = ₹50,625`
C.P of car and scooter = 4,50,000 + 40,500
`= 4,45,500`
S.P of car and scooter `= (130)/(100) xx 4,45,500 = ₹ 45,500 = ₹ 5,79,150`
S.P of car `= 5,79,150 -(110)/(100) xx 40,500`
`= 5,79,150-44,500`
`= 5,34,600`
Requried RATIO `= (50,625)/(5,34,600) = (25)/(264)`
Discussion
510.

In 12 hours how many times a minute-hand and hour-hand of a clock makes 90^(@) between them or becomes perpendicular to each other?

Answer»

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

Answer :22 times
Discussion
511.

Eight years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child still the average age of his family is same now. The age of Arthur at the time of his marriage was :

Answer»

22 YEARS
23 years
26 years
Can't determined

Answer :D
Discussion
512.

The remainder when (75^75)^75 is divided by 37 :

Answer»

A) 0
B) 1
C) 5
D) 7

Answer :B
Discussion
513.

Solve the following questions on the basis of following functions P_(n+1) = P_(n)-P_(n-1), P is the term of the sequence and P_(0) = 0, P_(1) =1 Q_(n+1) = Q_(n) +Q_(n-1), Q is the term of the sequence and Q_(0) = 0, Q_(1) = 1 Which of the following can be a positive value of Q_n+P_(n+1)?

Answer»

55
234
146
none of these

Answer :B
Discussion
514.

Solve the following expression : 193/75 + 37/81 - 81/65.

Answer»

SOLUTION :`193/75 + 37/81 + 18/65 = 87058/26325 = 3 8083/26325`
Discussion
515.

6(7)/(11)xx5(4)/(9)div9(1)/(4)=?

Answer»

21
13
9
4

Solution :`(73)/(11)XX(49)/(9)xx(4)/(37)=3.9=4`
Discussion
516.

In the given figure, two circles with their respective centres intersect each other at A and B and AB intersects OO at M, then m angleOMA is:

Answer»

`60^(@)`
`80^(@)`
`90^(@)`
can't be determined

Answer :C
Discussion
517.

Solve the following questions on the basis of following functions P_(n+1) = P_(n)-P_(n-1), P is the term of the sequence and P_(0) = 0, P_(1) =1 Q_(n+1) = Q_(n) +Q_(n+1), Q is the term of the sequence and Q_(0) = 0, Q_(1) = 1 What is the 12^(th) term of the series P_(n+1) starting from n =0?

Answer»

-1
0
1
none of these

Answer :B
Discussion
518.

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha lie between 0 and(pi)/(4), then find that value of tan2alpha.

Answer»

`(56)/(33)`
`(36)/(33)`
`(33)/(56)`
`(49)/(36)`

ANSWER :C
Discussion
519.

(19999)/( 21111) = ?

Answer»

0.947
0.749
0.497
0.794

Answer :A
Discussion
520.

Divakar and Subhank set out to meet each other from Delhi and Saharanpur, 330 km apart. Divakar travels 30 km on the first day 28 km on the second day, 26 km on the third day and so on. Subhank travels 20 km ont the first day, 24 km on the second day, 28 km on the third day and so on. In how many days they meet, if they started moving towards each other at the same time?

Answer»

4
5
6
none

Answer :C
Discussion
521.

For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : How many students passed in Chemistry only ?

Answer»

18
21
25
29

Solution :Total number of students =280
Number of students who passed MATHS =185
Number of students who passed Physics=210
Number of students who passed Chemistry =222
Students who passed in Maths and Physics=180
Studens who passed in Maths Chemisty =175
Students who passed in Physics and Chemistry =200 ltbgt Number of students who passed in ATLEAST one subject `=280-47=233`

`{:(x+w=180,...(i)),(w+z=200,...(II)),(w+y=175,...(iii)),(M+x+w+y=185,...(IV)),(P+x+w+z=210,...(v)),(C+y+w+z=222,...(vi)),(M+P+C+y+x+z+w=233,...(viii)),(By(iv)+(v)+(vi)=(vii)",",),(x+y+z+2w=384,...(viii)),(by(i)+(ii)+(iii)",",),(x+y+z3w+555,...(ix)),(By(ix)-(viii)",",),(w=171,),("From equation" (i)",",),(z=200-171=29,),("From equation"(iii)",",),(y=175-171=4,),(M=185-4-9171=1,),(P=210-9-171-29=1,),(C=222-4-29-171=18,):}`
Number of students passed in Chemistry only =18
Discussion
522.

For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : How many students passed in all the three subjects ?

Answer»

185
175
170
171

Solution :Total number of students =280
Number of students who PASSED Maths =185
Number of students who passed PHYSICS=210
Number of students who passed CHEMISTRY =222
Students who passed in Maths and Physics=180
Studens who passed in Maths Chemisty =175
Students who passed in Physics and Chemistry =200 ltbgt Number of students who passed in atleast one subject `=280-47=233`

`{:(x+w=180,...(i)),(w+z=200,...(ii)),(w+y=175,...(III)),(M+x+w+y=185,...(IV)),(P+x+w+z=210,...(v)),(C+y+w+z=222,...(vi)),(M+P+C+y+x+z+w=233,...(viii)),(By(iv)+(v)+(vi)=(vii)",",),(x+y+z+2w=384,...(viii)),(by(i)+(ii)+(iii)",",),(x+y+z3w+555,...(ix)),(By(ix)-(viii)",",),(w=171,),("From equation" (i)",",),(z=200-171=29,),("From equation"(iii)",",),(y=175-171=4,),(M=185-4-9171=1,),(P=210-9-171-29=1,),(C=222-4-29-171=18,):}`
Number of studetns who have passeed in all three subject =171
Discussion
523.

For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : How many studens failed in Physics and Maths ?

Answer»

65
18
58
47

Solution :Total NUMBER of students =280
Number of students who passed Maths =185
Number of students who passed Physics=210
Number of students who passed Chemistry =222
Students who passed in Maths and Physics=180
Studens who passed in Maths Chemisty =175
Students who passed in Physics and Chemistry =200 LTBGT Number of students who passed in atleast one subject `=280-47=233`

`{:(x+w=180,...(i)),(w+z=200,...(ii)),(w+y=175,...(iii)),(M+x+w+y=185,...(iv)),(P+x+w+z=210,...(v)),(C+y+w+z=222,...(vi)),(M+P+C+y+x+z+w=233,...(VIII)),(By(iv)+(v)+(vi)=(vii)",",),(x+y+z+2w=384,...(viii)),(by(i)+(ii)+(iii)",",),(x+y+z3w+555,...(ix)),(By(ix)-(viii)",",),(w=171,),("From equation" (i)",",),(z=200-171=29,),("From equation"(iii)",",),(y=175-171=4,),(M=185-4-9171=1,),(P=210-9-171-29=1,),(C=222-4-29-171=18,):}`
Number of students who failed in Physics and Maths `=47+29=65`
Discussion
524.

For what value of alpha does the equation 4cosalpha+3cos2alpha-2sin3alpha+cos4alpha=2sqrt(3)-1 hold?

Answer»

`(PI)/(6)`
`(pi)/(3)`
`(pi)/(4)`
`(pi)/(2)`

ANSWER :A
Discussion
525.

Rashi invested Rs. 16000 for two years at compound interest and received an amount of Rs. 17640 on maturity. What is the rate of interest?

Answer»


ANSWER :`5%`
Discussion
526.

What is the mean proportional of 3 + sqrt2 , 12 - sqrt32

Answer»

`4-2 SQRT2`
`2sqrt7`
`2SQRT5`
`6`

ANSWER :B
Discussion
527.

If sinA+sinB=C,&cosA+cosB=D,then sin(A+B)=?

Answer»

CD
`(CD)/(C^(2)+D^(2))`
`(C^(2)+D^(2))/(2CD)`
`(2CD)/(C^(2)+D^(2))`

ANSWER :A
Discussion
528.

In the previous question (no.46), how many different plates can be formed if the repetitions are not allowed?

Answer»

A) 468000
B) 13000
C) 15680
D) NONE of these

Answer :A
Discussion
529.

A set of five two-digit integers numbers is given .Average of first and third number is second number. Fourth number is half of first number. Sum of First, second and fourth numbers is 127. Second number is (A) and average of five numbers is (B) .Fifth number is 62. What can be the values of (A) and (B) respectively.

Answer»

64,50
62,55
62,50
64,55

Solution :LET FIRST and THIRD numbers be '2x' and '2a' respectively
Then, second number `=(2x)/(x)=x`
Then, five number are : `2x,(x+a),2a,x,62`
ATQ, `2x+x+x+a=127`
`4x+a=127`
From option (a) x+a=64
`implies 3x=63`
`implies x=21`
AVERAGE of five numbers
`=(42+64+2(64-21)+21+62)/(5)=55`
Discussion
530.

If u=v^(2)=w^(3)=z^(4) ,then log_(u)(uvwz) is equal to

Answer»

`1+1/2-1/3-1/4`
24
`1+1/2+1/3+1/4`
`1/24`

ANSWER :C
Discussion
531.

A diamond broke into three pait, the ratio of weight of three part is 2:3:4. The price of diamond is directely proportional to its square weight. If the loss of 52000 after breaking diamond then what was the starting price of diamond

Answer»

80000
50000
60000
81000

Answer :D
Discussion
532.

An unbiased die isrolledfindthe probability ofgettinga numberlessthan 7but geaterthan zero .

Answer»

0
`3//4`
1
`7/8`

ANSWER :C
Discussion
533.

A sum of X 8448 is to be divided between A and B who are respectively 18 and 19 yr old, in such a way that if they shares be invested at 6.25% per annum at compound interest, they will receive equal amounts on attaining the age 21 yr. The present share of A is

Answer»

? 4225
? 4352
X 4096
X 4000

Answer :C
Discussion
534.

Two vessels A and B contains acid of different concentration. The capacity of A and B are 6 lt and 3 lt respectively. We take out same quantity from both vessels and put into one another, now the concentration in both vessel are same. Find the taken out quantity.

Answer»

2 LITRES
1 litres
`1(1)/(2)` litres
`(3)/(4)` litres

Answer :A
Discussion
535.

Solve the following expressions. (2^2 + 2^3 + 2^-2 + 2^-3)

Answer»

SOLUTION :`12 + 3/8 = 99/8`
Discussion
536.

threefaircoinsare tossedsimultaneously. Findthe propability of getting twoheads .

Answer»

`3/5`
`3/8`
`5/8`
`2/5`

ANSWER :B
Discussion
537.

Find the total number of three digit numbers, which have their digits in increasing order, as in, for a three digit number abc, there must be altbltc.

Answer»

84
67
97
79

Answer :A
Discussion
538.

Working together, P and Q can do a job in 6 days, Q and R can do the same job in 10 days while P and R can do it in 5 days How long will it take, if all of them work together to complete the job?

Answer»

`4 (2)/(7)` DAYS
`4(3)/(7)` days
`4(4)/(7)` days
`4(5)/(7)` days

Answer :A
Discussion
539.

Romil invested Rs. 16000 for two years at compound interest and received an amount of Rs. 17640 on maturity. find the rate of interest?

Answer»


ANSWER :0.05
Discussion
540.

A person cover a distance of 450 km partly by train and partly by car. If he travels 100 km by train rest by car it takes 8 hours and if he covers 170 by train and rest by car it takes him 8 hours 12 minute to cover that distance. Find the speed of train.

Answer»


ANSWER :50 km/h
Discussion
541.

For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : How many students passed in Maths but failed in both Physics and Chemistry ?

Answer»

5
10
15
1

Solution :Total number of students =280
Number of students who passed Maths =185
Number of students who passed Physics=210
Number of students who passed Chemistry =222
Students who passed in Maths and Physics=180
STUDENS who passed in Maths Chemisty =175
Students who passed in Physics and Chemistry =200 LTBGT Number of students who passed in atleast one subject `=280-47=233`

`{:(x+w=180,...(i)),(w+z=200,...(II)),(w+y=175,...(iii)),(M+x+w+y=185,...(iv)),(P+x+w+z=210,...(v)),(C+y+w+z=222,...(vi)),(M+P+C+y+x+z+w=233,...(viii)),(By(iv)+(v)+(vi)=(vii)",",),(x+y+z+2w=384,...(viii)),(by(i)+(ii)+(iii)",",),(x+y+z3w+555,...(ix)),(By(ix)-(viii)",",),(w=171,),("From equation" (i)",",),(z=200-171=29,),("From equation"(iii)",",),(y=175-171=4,),(M=185-4-9171=1,),(P=210-9-171-29=1,),(C=222-4-29-171=18,):}`
Number of students who passed in Maths but faild in both Physics and Chemistry=1
Discussion
542.

For an examination consisting of three subjects -Maths Physics and Chemistry, 280 students appeared. When the results were declared, 185 students had passed in Maths, 210 had passed in Physics and 222 had passed in Chemistry. All those except 5 students who passed in Maths, passed in Physics. All those except 10 students who passed in Maths, passed in Chemistry. 47 students failed in all the three subjects. 200students who passed in Physics also passed in Chemistry : A students has to pass at leas two subjects to get promoted. How many students get promoted ?

Answer»

180
213
200
185

Solution :Total number of students =280
Number of students who passed Maths =185
Number of students who passed Physics=210
Number of students who passed Chemistry =222
Students who passed in Maths and Physics=180
Studens who passed in Maths Chemisty =175
Students who passed in Physics and Chemistry =200 ltbgt Number of students who passed in atleast one SUBJECT `=280-47=233`

`{:(x+w=180,...(i)),(w+z=200,...(ii)),(w+y=175,...(III)),(M+x+w+y=185,...(iv)),(P+x+w+z=210,...(v)),(C+y+w+z=222,...(VI)),(M+P+C+y+x+z+w=233,...(viii)),(By(iv)+(v)+(vi)=(vii)",",),(x+y+z+2w=384,...(viii)),(by(i)+(ii)+(iii)",",),(x+y+z3w+555,...(ix)),(By(ix)-(viii)",",),(w=171,),("From equation" (i)",",),(z=200-171=29,),("From equation"(iii)",",),(y=175-171=4,),(M=185-4-9171=1,),(P=210-9-171-29=1,),(C=222-4-29-171=18,):}`
Required answer
`=x+y+z+w`
`9+29+4+171+=213`
Discussion
543.

What percent decrease in salaries would exactly cancel out the 20 percent increase ?

Answer»

A) (16 + 2/3) %
B) (15 + 2/3)%
C) (14 +1/3)%
D) (13 + 4/5)%

ANSWER :C
Discussion
544.

A trader sells one type of sugar at 10 rupees per kg. and suffered a loss of 20%. While he sells the other type of sugar at Rs. 15 per kg and makes a profit of 25%. Now he mixes both type of sugar in equal proportion and sells the mixture at 18 rupees per kg. Find his profit and loss now-

Answer»


ANSWER :0.1
Discussion
545.

Find maximum number of four digit which is divisible by 12,15,18,27.

Answer»


ANSWER :`Rto0`
Discussion
546.

If a, b, c are all distinct positive numbers, then (a+b)(b+c)(c+a):

Answer»

LESS than 4
less than 4abc
greater than 8abc
greater than `(ABC)^(3)`

ANSWER :C
Discussion
547.

A started business with ₹ 45000 and B joined after ward with ₹ 30000. If the profits at the end of one year were divided in the ratio 2:1 respectively, then B would have joined A for business after:

Answer»

1 month
2 months
3 months
4 months

Answer :C
Discussion
548.

PQ and RS are two parallel chords of a circle whose centre is O and radius is 10 cm. If PQ = 16 cm and RS = 12 cm, find the distance between PQ and RS, if they lie : (i) On the same side of the centre O. (ii) On opposite side of the centre O.

Answer»

2, 14 CM
4, 14 cm
2, 12 cm
4, 12 cm

ANSWER :A
Discussion
549.

There is a circle of radius 5 cm. Thereare two chords AB and AC OF equal length = 6 cm . Find the length of chord BC .

Answer»


ANSWER :9 . 6 CM
Discussion
550.

When a^m cdot a^n = a^(mn),find the value of n(m-2) + m(n -2) is :

Answer»

0
1
-1
none of these

Answer :A
Discussion