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6851.

A tap can fill a cistern in 9 hours. After one-third of the tank is filled, three more similar taps are opened. What is the total time (in hour) taken to fill the tank completely?

Answer»

1.5
2/3
4
NONE of these

Answer :C
6852.

A nine digit number abcdefghtis such that a is divisible by 1, ab is divisible by 3 and abcd is divisible by 4 and so on where none of a, b, c, d, … is same andevery digit is a non-zero digitsuch a number is :

Answer»

123456789
381654729
126453789
826435791

Answer :B
6853.

Shweta is very expect in bargaining . Once she went to a nearby shop. When Shweta asked the Price of Shampoo Sachet the shopkeeper told her the price by increasing 15% of the original cost. But Shweta insisted to decrease the price by 15% so the shopkeepersold it by decreasing the price by 15% What is the loss or profit of shopkeeper and by how much per cent?

Answer»

no LOSS
profit of `15%`
loss of 2.25%
NONE of these

Answer :C
6854.

Rs 2186 is divided into M, N and P such that if Rs 26, Rs 28 and Rs 32 are subracted from the share of M, N and P then ratio of their share becomes 9: 13 : 8. Find the share of M.

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RS 575
Rs 640
Rs 656
Rs 672

ANSWER :C
6855.

A sum of 7930 is divided into 3 parts and given at loan at 5% simple interestto A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then the A received a loan of(रु 7930 की राशि 3 भागो में विभाजित की जाती है और A , B तथा C को क्रमश: 2 ,3 एव4 वर्षो के लिए 5 % के साधरण बियाज पर ऋण के रूप में दी जाती है| यदि समय पूरा होने पर तीनोको मिश्रधन बराबर मिले तो A ने कितने रुपए का ऋण लिया था )

Answer»


ANSWER :RS. 552, Rs. 528, Rs. 506
6856.

If a six digit number is formed by repeating a two digit number three times (e.g. 141414), then that number will be divisible by :

Answer»

1001
101
10001
10101

Answer :d
6857.

P and Q are two points on circle with centre O. The point R is on the minor arcPQ. The tangents from P and Q meet at S. If anglePSQ=20^(@) them anglePRQ is-

Answer»

`200^@`
` 160^@`
`100^@`
`80^@`

ANSWER :C
6858.

In the given figure, l,m and n are three parallel lines and t1 and t2 are two transversal lines which cut l,m and n at A, B, C and P, Q, R, respectively. Which of the following options is correct?

Answer»

`(BC)/(PQ) = (AB)/(QR)`
`(AP)/(BQ) = (BQ)/(CR)`
`(AB)/(BC) = (PQ)/(QR)`
`(BQ)/(AP)=(PQ)/(AB)`

ANSWER :C
6859.

x varies directly as (y^2+z^2). At y = 1 and z = 2, the value of x is 15. Find the value of z, when x = 39 and y = 2 :

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2
3
4
6

Answer :B
6860.

The odd positive integers are arranged in a traingle as follows : Find the sum of the number in the nth row of this arrangement :

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a. `N^2 + n`
B. `2n^2 -2 + n`
c. `n^3`
d. none of these

Answer :C
6861.

There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. In how many arrangements does B_1 have cap C_1?

Answer»

5!
`5^4`
`^5P_4`
NONE of these

Answer :B
6862.

A and B together can do a piece of work in 12 days. While B and C together can do a piece of work in 8 days. C and A together can do a piece of work in 6 days. In how many days will this work be completed by B alone?

Answer»


ANSWER :48 DAYS
6863.

If log_(10)2 = 0.3010, then log_(2) 10 is:

Answer»

3.01
1.505
3.3222
none of these

ANSWER :C
6864.

When the three numbers 104, 221 and 377 are divided by a number we get the same remainder in each case. Such a largest possible number is :

Answer»

56
13
39
it does not exist

Answer :C
6865.

If alpha + beta = 90^@ and alpha: beta = 2: 1, then the value of sin alpha : sin beta is

Answer»

`SQRT3 : 1`
`2 : 1`
`1 : 1`
`sqrt2:1`

ANSWER :A
6866.

A lends a sum of money for 10 years at 5% SI. B lends double the amount for 5 years at the same rate of interest . Which of the following statements is true in his regard ?

Answer»

A will GET twice the amount of interest that B WOULD get
B will get twice the amount of interest that A would get
A will get the same amount of interest that B would get
B will get FOUR times the amount of interest that A would get

Answer :C
6867.

Which of the following are the factors of 2^(387) + 3^(344) ? (i) 216 (ii) 643 (iii) 735 (iv) 7073

Answer»

(a) 92 CM
(b) 95 cm
(c) 102 cm
(d) 113 cm

Answer :D
6868.

If a o+ b = a^3 + b^2+ 1 a © b = (a - b)^2+ 1 a ** b = a^3 - b^2 + 1 The value of P = (((1 o+ 2) ** 2) © 1) is :

Answer»

40001
10804
40401
None of these

ANSWER :D
6869.

A computer typist types a page with 20 lines in 10 minutes but he lives 8% margin on the left side of the page. Now he has to type 23 pages with 40 lines on each page which he leves 25% more margin than before. How much time is now required to type these 23 pages?

Answer»

`7(1)/(2)` hrs
`7(2)/(3)` hrs
`23(1)/(2)` hrs
3.916 hrs

Answer :A
6870.

Abhinav and Brijesh started walking simultaneously 23km//h and 4km//h from the same point 'C' on two different paths which diverge from each other at an angle of 120^(@). They walked for 6 hours and they stopped at A and B respectively. What is the least possible distance between Abhinav and Brijesh when they are at A and B respectively.

Answer»

`36sqrt(37)`
`6sqrt(37)`
`12SQRT(37)`
NONE of these

Answer :B
6871.

Value of (625)^{0.16} \times(625)^{0.09} is

Answer»

16
8
4
5

Answer :A
6872.

Answer the questions based on the following information. There are four numbers a,b,c,d such that a+b+c+d=12Find the number of integral solutions of the equation, such that agt-4, bgt-3,cgt-2,dgt-1.

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1330
1331
1690
340

Answer :A
6873.

A sum invested at the rate of interest 5% S.I grows to Rs. 5400 in 4 years. The same amount in 3 years at the rate of 10% per annum S.I will grow to

Answer»

RS. 5700
Rs. 5750
Rs. 5800
Rs. 5850

Answer :A
6874.

The value of 5^{1 / 4} \times(125)^{0.25} is:

Answer»

`\SQRT{5}`
5`\sqrt{5}`
5
25

Answer :A
6875.

Answer the questions based on the following information. There are four numbers a,b,c,d such that a+b+c+d=12Find the number of non-negative integral solutions of the equation.

Answer»

25
244
455
425

Answer :D
6876.

Answer the questions based on the following information. There are four numbers a,b,c,d such that a+b+c+d=12Find the number of positive integral solutions of the equation.

Answer»

125
165
143
156

Answer :B
6877.

Find the average of the square of first consecutive even numbers starting from 2 to 12, where the last even number is 12.

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12.20
60.66
16.45
17.80

Answer :B
6878.

Answer the questions based on the following information. There are four numbers a,b,c,d such that a+b+c+d=-12.Find the number of integral solutions of the equation, such that (a,b,c,d)lt0

Answer»

195
-165
92
165

Answer :B
6879.

If 4^{2 x}=\frac{1}{32} then xis

Answer»

5/4
4/5
3/5
None of these

Answer :C
6880.

The average weight of 8 women increases by 2.5 kg when a new woman replaces one of them weighing 65 kg. Find the weight of the new woman.

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80
67
85
20

Answer :C
6881.

There are three sections A, B and C in class X of a school. The average weight of all the students in classes A and B together is 26 kg. The average weight of all students in classes B and C together is 24 kg. What is the average weight of the students in all the three classes put together. If the average weight of the students in the classes A, B and C are 24 kg, 27 kg and 21 kg respectively.

Answer»


ANSWER :24 KG
6882.

Find the altitude and base of an isosceles triangle whose vertical angle is 65^(@) and whose equal sides are 415 cm :

Answer»

350cm, 646cm
350cm, 446cm
630cm, 445cm
none of these

Answer :B
6883.

An article is listed at Rs. 65. A customer bought this article for Rs 56.16 and got two successive discounts of which one is 10%. Find the other discount of this discount scheme that was allowed by the shopkeeper

Answer»


ANSWER :`46(46)/(49)%`
6884.

If (a+b): (b+c): (c+a)= 5: 6: 9 and a+b+c=10. What is the value of c :

Answer»

2
3
5
7

Answer :C
6885.

A person has to covera distance of 48 km . If theincreases his speed by4 km/hhe reaches1 hour early . Find the hisinitial speed .

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ANSWER :12 km/h
6886.

Rs. 2500 was borrowed for 3 years. What will be the compound interest if the rate of interest for first year is 3% per annum, second year is 4% per annum and for third year is 5% per annum respectively?

Answer»


ANSWER :RS 311.90
6887.

If x and y are positive real number, then :

Answer»

`xgtyrArr-xgt-y`
`x gt y RARR-x LT -y`
`x gt y rArr 1/x gt 1/y`
`xgtyrArr(-1)/xlt(-1)/y`

Answer :B
6888.

If vec(A) makes an angle alpha, beta and gamma from x,y and z axis respectively then sin^(2)alpha+sin^(2) beta+sin^(2) gamma=

Answer»

0
1
2
3

Answer :B
6889.

A can do a piece of work in 24 days, while B can do it in 30 days. With the help ofC they can finish the whole work in 12 days. How much time is required for C to complete the work, alone?

Answer»

100 days
120 days
125 days
72 days

Answer :B
6890.

A person observed that he required 30 s time to cross a circular ground a long its diameter than to cover it once along the boundary. If his speed was 30m//min, then the radius of the circular ground is

Answer»

10.5 cm
3.5 m
5.5 m
7.5 m

Answer :B
6891.

The simplified value of sqrt(900) + sqrt(0.09) - sqrt(0.000009) is

Answer»

30.297
`30.197`
`30.097`
`30.397`

ANSWER :A
6892.

In the following algorithm x, y and z are variables which change their values in each step such that the value of the expression on the right hand side is assigned to the variable on the left hand side of the equation. Each cycle consists of 5 steps, S_(1), S_(2), S_(3).... are the sum of each corresponding cycle 1, 2, 3....... START Step 0. x=1, y=-2, z=3 Step 1. x=y-z Step 2. y=z-x Step 3. z=x-y Step 4. S=x+y+z Step 5. Go to step 1. Which of the following is correct?

Answer»

`S_(11)` is an odd number
`S_(13)` is a negative number
`S_(15)` is an EVEN number
both (B) and (C)

Answer :D
6893.

4572xx195-765410=?+65126

Answer»

50432
55242
60950
None of these

Solution :`891540-765410-65126=610054`
6894.

A man walks 6 km at a speed of 1 1/2kmph, runs 8 km at a speed of 2 kmph and goes by bus another 40 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph.

Answer»

A) `4 3/14`
B) `4 2/13`
C) `2 4/13`
D) `3 4/14`

ANSWER :A
6895.

What is the CI after 3 yr ? I. Rate is 5 % II After two years , Difference between Cl and SI is Rs 20.

Answer»

If the statement I alone is SUFFICIENT to answer the question but the statement II alone is not sufficient
If the statement II alone is sufficient to answer the question but the statement I alone is not sufficient
If both statements I and II TOGETHER are needed to answer the question
if either the statement I alone or STATMENT II alone is sufficient to answer the question

Answer :C
6896.

Answer these questions based on the following informations There are ten points on a plane, such that no three of them are collinear. Find the maximum number of diagonals in a decagon formed by joining the ten points.

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30
45
35
20

Answer :C
6897.

Answer these questions based on the following informations There are ten points on a plane, such that no three of them are collinear. Find the maximum number of straight lines formed by joining the ten points

Answer»

90
30
45
20

Answer :C
6898.

Simplify and find '?'48 \sqrt{?}+32 \sqrt{?}=\mathbf{3 2 0}

Answer»

A) 4
B) 8
C) 16
D) 32

Answer :C
6899.

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

Answer»

A) 35
B) 38
C) 40
D) 42

Answer :B
6900.

If DeltaABC is right - angle at B, AB = 6 units angle = 30^@ then AC is equal to

Answer»

12 UNITS
15 units
8 units
10 units

Answer :A