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7501.

What is the inverse function off(x)=10^(x)?

Answer»


ANSWER :B
7502.

From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability that the drawn card is a king or a queen.

Answer»

`2/13`
`8/13`
`11/13`
NONE of these

Answer :A
7503.

Volume of a hollow sphere is11352/7​ cm^(3) . If the outer radius is 8cm, find the inner radius of the sphere. (Take π=22/7)

Answer»


ANSWER :A
7504.

Four vessels are kept on a table in a manner that their quantity keeps on becoming 3 times when measured from left towards right.25% of the first vessel, 30% of the second vessel, 40% of the third vessel and 20%of the fourth vessel are empty. If all the four vessels are emptied into the fifth vessel, then the total quantity is what percent of total quantity of the four vessel?

Answer»


ANSWER :`74(5)/(8)`
7505.

A person buys two watches for Rs. 1,000. He sells one at a loss of 5% and the other at 20% gain and onthe whole he gains Rs. 50. Find the cost price of each watch.

Answer»


ANSWER :RS 600, Rs 400
7506.

Vishal goes to a shop to buy a radio costing Rs 2568. The rate of sales tax is 7%. He talks the shopkeeper to reduce the price of the radio to such an extent that he has to pay Rs 2568, inclusive of sales tax. Find the reduction needed in the price of the radio

Answer»


ANSWER :179.76 RS
7507.

If 1 + 2 + 3 + …+ k = N^2 and N is less than 100 then the value of k can be, where N in N Natural Numbers:

Answer»

8
1 and 49
8 and 36
both (a) and (B)

ANSWER :D
7508.

What is the time rquired by a train of length of 350 m to cross an electric pole with a speed of 70m/s?

Answer»

3 s
3.5 s
5 s
10 s

Answer :C
7509.

My grandfather was 8 times older than me 16 years ago. He would be 3 times of my age, 8 years from now. Eight years ago, what was the ratio of my age to that of my grandfather?

Answer»

`3:8`
`1:5`
`1:2`
NONE

ANSWER :B
7510.

A retailer bought 3850 linc pens and 1848 cello pens at the same price. He sells linc pens in such a way that he can buy 650 linc pens with the selling price of 481 linc pens but he can only buy 408 cello pens with the selling price of 629 cello pens. What is his overall profit percentage?

Answer»

`4.8%`
`9.6%`
`13%`
NONE of these

Answer :D
7511.

Find the no. of zeros in experssion : 1^(2) xx 2^(2) xx 3^(3) xx 4^(4) xx ……..xx100^(100)

Answer»

1200
1300
250
1050

Answer :B
7512.

Arjun, Bhishma and Nakul run on the circular path at the speed of 20 m/s, 30m/s and 50m/s respectively in the same direction. The circumference of the track (or path) is 600 m. When will they be together again for the first time at the starting point?

Answer»


ANSWER :(i) 60 s
(II) 12 s
7513.

A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack?

Answer»


ANSWER :`4/663`
7514.

If 5 boys take 7 h to pack 35 toys, how many boys can pack 65 toys in 1 h?

Answer»

26
39
45
65

Answer :C
7515.

A car reached Raipur from Sonagarh in 35 min with an average speed of 69 km/h. If the average speed is increased by 36 km/h, how long will it take to cover the same distance?

Answer»

24 MIN
27 min
23 min
29 min

Answer :C
7516.

A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6. getting 112 as the answer. The correct answer should have been

Answer»

124
122
118
114

Answer :B
7517.

What is the total number of 4 digit numbers that can be formed using the digits 0,1,2,3,4,5 without repetition, such that the number is divisible by 9?

Answer»

36
28
15
18

Answer :A
7518.

The next term of the sequence 1,5,14,30,55,... is

Answer»

91
85
90
95

Answer :A
7519.

A man borrows X 5100 to be back with compound interest at the rate of 4% pa by the end of 2 yr in two equal yearly instalments. How much will each instalment be ?

Answer»

X 2704
X 2800
X 3000
X 2500

Answer :A
7520.

Find the type 0f triangle with sides 4,5,6 cm

Answer»


ANSWER :ACUTE ANGLE TRIANGLE
7521.

The shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount . But somehowthe customer managed to purchase only 70% of the required amount . What is the net difference in the expenditure on that product?

Answer»

`10%`more
`5%` more
`12.5%`LESS
`17.5%` less

Answer :C
7522.

Speed of a bus is 45 km/h. If it stops for a few minutes in an hour then its average speed becomes 42 km/h. Find out the time duration it stops for in an hour.

Answer»


ANSWER : 4 MIN.
7523.

What is the single equivalent discount for successive discounts of 10%, 20% and 15% on marked price for motor bike?

Answer»


ANSWER :`38.8%`
7524.

The sum of Rs. 9900 is divided among A, B and C such that B gets 2/3 of A and C.C gets 3/8 of A and B. Then they get separately?

Answer»

`3900, 3300, 2700`
`3960, 3200, 2740`
`3960, 3240, 2700`
`3000, 3200, 2700`

ANSWER :C
7525.

If sinalpha=(-3)/(5), where piltalphalt(3pi)/(2), then cos""(alpha)/(2)=?

Answer»

`-(1)/(SQRT(10))`
`(1)/(sqrt(10))`
`(3)/(SQRT10)`
`(-3)/(sqrt(10))`

Answer :A
7526.

Given log 2 = 0.3010 and log 3= 0.4771. Find the value of log 0.0075

Answer»


ANSWER :`=-2.1249`
7527.

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

Answer»


ANSWER :10
7528.

M.P. of an article is 50% more than its C.P. If S.P. and M.P. both are increased by 20% then profit doubles. If initial M.P. was Rs. 300. The find initial S.P. ?

Answer»


ANSWER :RS. 250S
7529.

If 2^n can exactly divide p! such that the quotient is an odd positive integer , then the value of n which is not possible is:

Answer»

a. 43
b. 44
c. 45
d. all of these

ANSWER :D
7530.

A shopkeeper on the eve of Diwali allowed a series of discount on television sets. Find the selling price of a television set, if the marked price of television is 1000 and successive discounts are 10% and 5%.

Answer»


ANSWER :855
7531.

A clockgains 10 s in every 3 h if the clock was set right at 4:00 am on Monday morining then the time it will indicate on Tuesday evening at 7:00 pm

Answer»


ANSWER :`7:02:10` PM
7532.

Difference of two numberis 1660 . If 6(1)/(2)% of one number is equal to 8(1)/(2)% of the othernumber, the smaller number is :

Answer»


ANSWER :`5395`
7533.

If a_n=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and b_n=1-a_n, then find the minimum natural number n, such that b_n>a_n

Answer»

4
8
9
6

Answer :D
7534.

Recently, a small village, in Tamilnadu where only male shephered reside with four sheep each, was devastated by Tsunami waves. Therefore 8 persons and 47 sheep were found to be dead and the person who luckily survived, left the village with one sheep each since 21 sheep were too injured to move so have been left on their own luck, in the village. The number of sheep which were earlier in the village is :

Answer»

84
120
can't be determined
none of these

Answer :D
7535.

The sum of the last 10 digits of the sum of the expression: (1^1 xx 2^2 xx 3^3 xx 4^4 xx 5^5) + (1^6 xx 2^7 xx 3^8 xx 4^9xx 5^10) + (1^11 xx 2^12 xx 3^13 xx 4^14 xx 5^15) + …… +(1^96 xx 2^97 xx 3^(98) xx 4^(99) xx 5^(100)) is :

Answer»

16
18
20
none of these

Answer :B
7536.

The profit percentage on the three articles A, B and C is 10%, 20% and 25% and the ratio of the cost prices is 1 : 2 : 4. Also the ratio of number of articles sodl of A, B and C is 2 : 5 : 2 then the overall profit percentage is.

Answer»


ANSWER :0.21
7537.

A triangle is formed by the x axis and the lines 2x + y = 4 and x-y+1 = 0 as three sides. Taking the side along x-axs as Its base, the corresponding altitude of the triangle is :

Answer»

2 unit
3 unit
`SQRT5` unit
1 unit

ANSWER :A
7538.

A six digit number of the form abcabc is written where a, b, c in I^(+) , then which statement is true about this number:

Answer»

It is always DIVISIBLE by 7 and 11
it is divisible by 143
it is divisible by 1001
all of (a),(b) and (c ) are CORRECT

ANSWER :D
7539.

A owes B Rs. 1120 payable 2 year hence, B owes A Rs. 1081.50 payable 6 months hence. If they decide to settle their accounts forthwith by payment of ready money and the rate of interest be 6% per annum, then who should pay and how much?

Answer»


ANSWER :B, RS. 50
7540.

If 1,log_9(3^(1-x)+2), log_3(4*3^x-1) are in A.P then x equals to

Answer»

`log_(4)3`
`log_(3)4`
`1+log_(3)4`
`log_(3)(3//4)`

ANSWER :D
7541.

Two poles of heights 6m and 11 m stand on plane ground. If the distance between their feet is 12 m, find the distance between their tops.

Answer»

13 m
17m
18 m
23 m

Answer :A
7542.

If area of regular octagonis 18 ( sqrt(2)+ 1 ) . Find this side

Answer»


ANSWER :`a = 3 `
7543.

The ratio of milk and water in three vessels are 2 : 1, 1 : 5and 5 : 7. The capacity of all vessels are same. All are poured into a fourth vessel, then find the ratio of milk and water in fourth vessel.

Answer»
7544.

triangle ABC is a right angled at A and AD is the altitude to BC. If AB= 7 cm and AC = 24 cm. Find the ratio of AD is to AM if M is the mid-point of BC.

Answer»

25:41
32:41
336/625
625/336

Answer :C
7545.

On the whole surface of earth the ratio of land and water is 1:2. The land and water in northern hemisphere is ratio 3 : 4. Then what is the ratio of land and water in southern hemisphere.

Answer»

`5:16`
`4:11`
`5:11`
`4:7`

ANSWER :A
7546.

On the whole surface of earth the ratio of land and water is 1:2. The land and water in northern hemisphere is ratio 2 : 3. Then what is the ratio of land and water in southern hemisphere.

Answer»

`4:11`
`11:4`
`5:12`
`4:7`

ANSWER :A
7547.

There are two alloys made up of copper and aluminum. In the first alloy copper is half as much as aluminum and in the second alloy copper is thrice as much as aluminum. How many times the second alloy must be mixed with first alloy to get the new alloy in which copper is twice as much as aluminum?

Answer»


ANSWER :`1:4`
7548.

There are four types of candidates in our coaching preparing for the CAT. The number of student of engineering , science, commerce, and humanities id 40, 60, 50 and 30 respectively and the respective percentage of students who qualified the CAT 80%,75%,60% and 50% respectively the overall percentage of successful candidates in our institute is :

Answer»

`67.77%`
`66.66%`
`68.5%`
NONE of these

Answer :A
7549.

If sin2x=n sin 2y, then the valueof (tan(x+y))/(tan(x-y)) is :

Answer»

n+1/n-1
n-1/n+1
1-n/n+1
1+n/1-n

Answer :A
7550.

Ravikishan is a sales executive who has five different simcard for his mobile handset. Each simcard supports different talk-time. For each simcard the talk-time is always in integers and measured in minutes only. When he is working in the remote fields, he carries exactly five fully charged simcard with him. On ten different days he used different pairs of simcard and observed the total talk-time each day as 122,124,125,126,127,128,129,130,132, and 133min. What is the highest talk time that a simcard supports?

Answer»

67 min
69 min
71 min
68 min

Answer :D