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6601.

Each edge of a cube is equally dividedinton parts , thus there are totaln^(3) smallercubes . Let , N_0 toNumber of smaller cubes with no exposed surfaces N_1 to Number of smaller cube with one exposed surface N_2 to Number of smaller cube with two exposed surface N_3to Number of smaller cubes with three exposed surfaces Whatis the value of N_3 ?

Answer»

`(N-2)^3`
`n^3`
n!
8

Answer :A
6602.

A certain sum of money becomes (5)/(4) times of itself in 4 years. Find the Rate of interest.

Answer»


ANSWER :`6(1)/(4)%`
6603.

3^(41)xx7^(42)xx8^(43) . find unit digit

Answer»


ANSWER :4
6604.

The sides AB, BC, CA of a triangle ABC have 3, 4 and 5 interior points respectively on them. The total number of triangles that can be constructed by using these points as vertices is:

Answer»

105
307
420
205

Answer :D
6605.

What is the value of log_(2)(log_(3)81)?

Answer»

0
1
2
6

Answer :C
6606.

Akbar and birbal setout at the sametime to walk towards each other respectively from agra and banaras 144 km apart. Akabr walks at the constant speed of 8 km/h. while birbal walks 4 km in the first hour 5 km in the second hour 6 km in the third hour and so on.Then the akbar and birbal will meet.

Answer»

4
5
6
none of these

Answer :C
6607.

For a community marriage 300 boys and 300 girls gathered for their marriage. But out of 600 people 200 were from America and 200 from France and rest 200 were from India itself. The rule was that no any person can marry with a person of different ethnicity or nationality. Minimum how many married couples will be formed, after marriage?

Answer»

100
150
200
none of these

Answer :A
6608.

Two men A and B travel from point P to Q, a distance of 84 km at 12 km/h and 16 km/h, respectively. B reachesQand returns immediately and meets AatR.Find the distance fromPtoR

Answer»

a. 72 km
b. 76 km
c. 78 km
d. 68 km

Answer :A
6609.

Four milkmen rented a pasture. A put to graze 16 cows for 3 months, B 20 cows for 4 months, C 18 cows for 6 months and D 42 cows for 2 months/ If A's share of rent be ₹ 2400, the rent paid by C is:

Answer»

₹ 3200
₹ 4200
₹ 4000
₹ 5400

Answer :D
6610.

The value oftheta(0 lt a lt pi/2) satisfying the equation sin^2theta–2costheta+1/4= = 0 is.

Answer»

`pi/2`
`pi/3`
`pi/4`
`pi/6`

ANSWER :B
6611.

Quantity I- In a question paper probability of a question not being answered by three students is 0,5, 0.4,0.7 respectively. Find the probability that at most two students will solve the question. Quantity II- Dipak have 5 black balls & 7 white balls, in his bag. If three balls are drawn at random from bag, then find probability of getting at least 1 black ball. Quantity III- nirmal speaks the turth 4 out of 5 times, and Puja speaks the truth 6 out of 7 times. What is the probability that they will contradict each othre in stating the same fact?

Answer»

(@,&)
(#,@)
(@,@)
(**,#)

Solution :Quantity -I
Probablity of at most two students wil SOLVE the question
=1- probability of all three studrnts will solve the question
`=1-(0.5)xx(0.6)xx(0.3)=1-0.09=0.91`
Quantity II-
Total balls `=5+7=12`
Probability of getting at least 1 BLACK BALL =1- probability of no black ball.
`=1-7/44=37/44=0.84`
Quantity III-
P (Nirmal speak truth) =`4/5`
P (Puja speak truth )`=6/7`
Required probability
`=4/5xx1/7+1/5xx6/7=10/35=2/7~~0.28`
Quantity I `GT` Quantity `II gt` Quantity III
6612.

A sum of Rs. 390200 is to paid back in three equal annual installments . How much is each instalment , if the rate of interest charged is 4%per annum compounded annually ?

Answer»

₹ 140608
₹ 120560
₹ 10000
₹ 18000

Answer :A
6613.

60 kg of certain variety of rice at32 per kg is mixed with 48 kg of another variety of rice and themixture is sold at he average price of28 per kg.If there be no profit or loss due to the new sale price, then the price of the second variety of rice is

Answer»

` 25.60 PER KG`
`25 per kg`
` 23 per kg`
` 30 per kg`

Answer :C
6614.

The number of women working in the IT department of the organization forms what per cent of the total number of employees in the organization from all departments together ?

Answer»


ANSWER :`4.8%`
6615.

The nth term of a series of which all the terms are positive is defined as T_n = n^2 + n then the sum of n terms of the series is :

Answer»

`(N(n+1)(n+2))/6`
`(n^3+4n)/n`
`(5N)/9[n^2+n]`
`(n(n+1)(n+2))/3`

Answer :D
6616.

Pipe A can fill a tank in 36 minutes and pipe B can fill it in 45 minutes. If both the pipes are opened to fill an empty tank, in how many minutes will it be full?

Answer»

15
18
20
25

Answer :C
6617.

What is the remainder when 678 + 687 + 6879 + 6890 is divided by 17 ?

Answer»

SOLUTION :The individual remainders when 678,687,6879,6890 are divided by 17 are 15,7,11,5,RESPECTIVELY. HENCE the requried remainder can be OBTAINED by dividing 15+7+11+5(=38) by 17. Thus the requried remainder is 4.
6618.

There was a leakage in the container of the refined oil. If 11 kg oil is leaked out per day then it would have lasted for 50 days, if the leakage was 15 kg per day, then it would have lasted for only 45 days. For how many days would the oil have lasted, if there was no leakage and it was completely used for eating purpose?

Answer»

80 DAYS
72 days
100 days
120 days

Answer :B
6619.

Find the amount of Rs. 1700 invested at 16% half yearly at simple interest for one year :

Answer»

2100
2244
2200
2500

Answer :B
6620.

If a + ib = sqrt((u + iv)/(x + iy)) then the value of a^2 + b^2 is:

Answer»

`SQRT((u^2+v^2)/(x^2+y^2))`
`(u^2-v^2)/(x^2-y^2)`
can't be determined
none of these

Answer :A
6621.

Express the following in the lowest terms (x^2+4x+4)/(x^2-4)

Answer»

SOLUTION : `(x^2+6x+9)/(x^2-9) =((x+3)(x+3))/((x+3)(x-3))=(x+3)/(x-3)`
6622.

Three boys are aged 2 years, 4 years and 8 years. They went to divide seventy rupees in the ratio of their ages. How much money would each get?

Answer»

Solution :The ratio of their AGES =A:B:C=2:4:8=1:2:4
So A get₹ 10,B gets ₹ 20 and C gets ₹ 40 if the ratio of their ages is 2:4:8
6623.

A shopkeeper charges sales tax of x%up to ₹2,000 and above it he charges y% A customer pays total tax of ₹320, when he purchases the goods worth ₹6,000 and he pay's the total tax of ₹680 for the goods worth ₹12,000. The value of (x-y) is :

Answer»

0
`-2`
`-4`
5

Answer :B
6624.

The ratio of the length of the diagonal of a rhombus is 2:5. Then, the ratio of the area of the rhombus to the square of the shorter diagonal :

Answer»

`5:4`
`5:2`
`2:5`
NONE of these

Answer :A
6625.

Convert (100011010110)_2 to octal.

Answer»

SOLUTION :
6626.

Petrol is 7 times heavy than Kerosene and Castrol mobil is 18 times as heavy as Kerosene. What should be the ratio of petrol and mobil in the new mixture to get the mixture which must be 11 times as heavy as kerosene?

Answer»

0.7368421052631
0.29444444444444
0.38819444444444
0.38194444444444

Answer :B
6627.

Serena and Venus were only two women participiting in a chess tournament. Every participant played two games with every other participant. The number of games that men played between themselves proved to exceed by 66, compared to the number of games the men played with women. How many participants were there?

Answer»

156
610
13
108

Answer :C
6628.

Whether 96184065 is divisible by 8 or not ?If not, then find remainder.

Answer»


ANSWER :R =1
6629.

6798xx223+6798xx77=k, then the value of k will be

Answer»

2034900
3029400
2039400
none

Solution :`6798xx223+6798xx77=6798(223+77)=6798(300)=2039400`
6630.

Ifsin(120^(@)-A)=sin(120^(@)-B),0ltA,Bltpi, then the values A and B are

Answer»

A = B
A = B or `A+B=(pi)/(3)`
`A+B=0,A+B=(pi)/(3)`
none of these

Answer :A::B
6631.

A person sold a TV for Rs 9400 and he lost a particular amount. When he sold another TV of the same type at Rs 10600, his gian was double the former loss. What was the cost price of each TV?

Answer»


ANSWER :RS. 9800
6632.

The MP of a camera is 3//2 of the CP and SP is 9//10 of MP. Find the percentage profit or loss.

Answer»

`25%` PROFIT
`35%` profit
`33.33%` loss
none of these

Answer :B
6633.

A committee of five persons is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is :

Answer»

`4//9`
`5//9`
`13/18`
NONE of these

Answer :A
6634.

Two varieties of soda water with different prices is mixed in the ratio of 2:3.The price of first soda water is rs 10 per litre while the price of second soda water is ts 15 per litre, respectively. The average price of the mixture (per litre) is:

Answer»

12
13
14
15

Solution :
`IMPLIES (X-10)/(15-x) = 3/2 implies 2(x-10) = 3(15-x)`
`implies x = 13`
6635.

In which year was the difference between the number of students in university -I and the numer of students in university-2 highest?

Answer»

a.2008
2009
c.2010
d.2012

Answer :D
6636.

Directions (Q. Nos. 11-15) Study the radar graph carefully and answer the questions that follow. Number of students (in thousand) in two different universities in six different years. If 25%of the students in University 2 in the year 2010 were females, what was the number of male students in the University 2 in the same year?

Answer»

11250
12350
12500
11500

Answer :A
6637.

Directions (Q. Nos. 11-15) Study the radar graph carefully and answer the questions that follow. Number of students (in thousand) in two different universities in six different years. What was the per cent increase in the number of students in University 1 in the year 2011 as compared to the previous year?

Answer»

135
15
115
25

Answer :D
6638.

Directions (Q. Nos. 11-15) Study the radar graph carefully and answer the questions that follow. Number of students (in thousand) in two different universities in six different years. What is the sum of the number of students in University 1 in the year 2007 and the number of students in University 2 in the year 2011 together?

Answer»

50000
55000
45000
40000

Answer :D
6639.

Directions (Q. Nos. 11-15) Study the radar graph carefully and answer the questions that follow. Number of students (in thousand) in two different universities in six different years. What was the difference between the number of students in University1 in the year 2010 and the number of students in University 2 in the year 2012?

Answer»

5000
15000
10000
1000

Answer :A
6640.

LetA andBbethe twoeventssuchthatP(A ) = 1/2,P(B )= 1/3andP(A nn B ) = 1/4, find P(A/B)

Answer»

<P>

SOLUTION :`P(A/B)=(P(A NN B))/(P(B))=(1//4)/1(1//3)=3/4`
6641.

If the average weight of the class of students is 15 and the average weight of another class of students is 30, then the find the ratio of the students of the first class to the another class of 30 students when the average weight of both the classes is 25:

Answer»

1:2
2:1
1:3
3:4

Answer :A
6642.

6 men or 10 women can reap a field in 15 days,then the number of days that 12 men and 5 women will take to reap the same field is

Answer»

5
6
8
12

Answer :B
6643.

A sequence of real numbers a_(1), a_(2), a_(3),......a_(n+1) is such that a_(1)=0, |a_(2)|=|a_(1)+1|, |a_(3)|=|a_(2)+1| Then (a_(1)+a_(2)+.........+a_(n))/(n) cannot be equal to.

Answer»

a. `1/2`
B. `-1/2`
C. 1
d. can't be determined

Answer :B
6644.

Which of the following function is an odd function?

Answer»

F(X)=`2^(-x^2)`
f(x)=`-2^(-x^2)`
f(x)=cosx
none of these

Answer :D
6645.

A sum of rs. 15000 amount gave rs. 4500 as interestin 5year. what is rate of interset?

Answer»

a. 3%
B. 4%
c. 5%
d. 6%

Answer :B
6646.

Find the minimum value of 3x^(2) - 6x + 11

Answer»


ANSWER :8
6647.

8 men can do a work in 12 days. After 6 days of work, 4 more men were engaged to finish the work. In how many days would the remaining work be completed?

Answer»


ANSWER :4
6648.

A number when divided by 10 leaves a remiander 9, when divided by 9 leaves a remainder 8, when divided by 8 leaves a remainder 7 ............ When divided by 2 leaves a remainder 1. Determine the number.

Answer»

31
1029
2519
1679

Answer :C
6649.

3tanthetatanphi=1, then (cos(theta-phi))/(cos(theta+phi))=?

Answer»

`(1)/(2)`
2
`(1)/(3)`
3

Answer :B
6650.

A train leaves the station at12:00morning and reaches its destination after 14 h 35 min. The time at the destination is

Answer»

2:35 pm
1:35 pm
2:35 am
2:40 pm

Answer :B