Q1.

Find the compound ratio of 4 : 5, 2 : 3 and 6 : 7 is

  • 16 : 35

  • 4 : 5

  • 19 : 16

  • None

Solution:

NA

Q2.

If 3A = 5B = 6C, Find  A : C

  • 2 : 1

  • 1 : 2

  • 1 : 3

  • 3 : 4

Solution:

NA

Q3.

Eight people are planning to share equally the cost of the rental car. If one person withdraws from the arrangement and the others share equally entire cost of the car, then the share of each of the remainingpersons increased by.

  • 1/7

  • 1/6

  • 3/7

  • 1/15

Solution:

NA

Q4.

A bag contains Rs. 187 in the form of 1 Rupee, 50 paise and 10 paise coinsin the ratio 3 : 4 : 5. Find the number of each type of coins. 

  • 102,  136, 170

  • 102, 145, 160

  • 90, 100, 110

  • 170, 102, 150

Solution:

NA

Q5.

A, B and C are three cities. The ratio of average temperature between A and B is 11 : 12 and that between A and C is 9 : 8. The taio between the average temperature of B and C is.

  • 11 : 12

  • 27 : 34

  • 27 : 22

  • 2 : 3

Solution:

NA

Q6.

Rs. 407 are to be divide among A, B and C so that their shares are in the ratio 1/4 : 1/5 : 1/6. The respective shares of A, B and C are (in Rs.)

  • 155, 142, 110

  • 165, 132, 110

  • 165, 90, 152

  • 110, 132, 165

Solution:

NA

Q7.

The Income of A and B are in the ratio 3 : 2 and their expenditure are in the ratio of 5 : 3. if each saves Rs. 1500, then B's income is Rs. 

  • 1600

  • 6000

  • 5600

  • 35000

Solution:

NA

Q8.

If 2y - 2y-1 = 4,  Find Yy

  • 3

  • 9

  • 27

  • 216

Solution:

NA

Q9.

The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13, their present ages (in years) are

  • 50, 70

  • 70,50

  • 50, 60

  • 30,  70

Solution:

NA

Q10.

log144 is equal to

  • 2log4 + 3log2

  • 4log2 + 3log2

  • 3log3 - 4log2

  • 4log2 + 2log3

Solution:

NA

Q11.

If log2 [log3 (log2 x)] = 1, then x is equal to

  • 128

  • 256

  • 512

  • 64

Solution:

NA

Q12.

If  X = 31/3 + 3-1/3 then find the value of 3x3 - 9x

  • 9

  • 3

  • 15

  • 10

Solution:

NA

Q13.

 If log4 ( x2 + x ) - log4 (x + 1) = 2,   find x

  • 16

  • 11

  • -3

  • -2

Solution:

NA

Q14.

If (2x). (3y). (5z)  =  360, then what is the value of x, y, z

  • 1, 2, 3

  • 3, 2, 1

  • 1, 3, 2

  • 3, 3, 3

Solution:

NA

Q15.

If  loga b + loga c = 0,  then which one is true

  • b = c

  • b = 11

  • b = c = 1 

  • bc = 1

Solution:

NA

Q16.

The students of two classes are in the ratio 5 : 7, if 10 students left from each class, the remaining students are in the ratio of 4 : 6 then the number of students in each class is

  • 40, 60

  • 30, 55

  • 50, 70

  • 25, 35

Solution:

NA

Q17.

The ratio compounded of 4 : 5 and sub - duplicate of "a":9 is 8 : 15. Then the value of "a" is

  • 3

  • 4

  • 2

  • 8

Solution:

NA

Q18.

Find two numbers such that mean proportional between them is 18 and third proportional between them is 144.

  • 6, 24

  • 9, 81

  • 9, 36

  • 7, 36

Solution:

NA

Q19.

If the salary of P is 25% lower than that of Q and the salary of R is 20% higher than that of Q, the ratio of the salary of R and P will be 

  • 5 : 8

  • 7 : 3

  • 3 : 5

  • 8 : 5

Solution:

NA

Q20.

A  person has assets worth Rs. 1,48,200. He wish to divide it amongst his wife, son and daughter in the ratio 1/2 :1/3 : 1/6 respectively. From the assets, the share of his son will be

  • Rs. 24,700

  • Rs. 49,400

  • Rs. 74,100

  • Rs. 47,900

Solution:

NA

Q21.

If   x = log2412,   y = log3624        Z = log4836      then the value of xyz + 1 = 

  • 2yz

  • 2xy

  • xy

  • 2xz

Solution:

NA

Q22.

If x2 + y2 = 7xy, then log{1/3(x + y)} is equal to

  • logx + logy

  • 1/2(logx + logy)

  • 1/3 (logx + logy)

  • log(xy)

Solution:

NA

Q23.

If 7x - 15y = 4x + y, find the value of (3x2 + 2y2)/(3x2 - 2y2)

  • 131/125

  • 134/65

  • 2/3

  • 3/4

Solution:

NA

Q24.

If 6 is the mean proportion between two numbers x and y and 48 is the third proportional to x and y, find the numbers.

  • 3, 18

  • 3,12

  • 6,12

  • 12,18

Solution:

NA

Q25.

Find the value x, 

log2 x + log4 x + log16 x = 21/4

  • 8

  • 4

  • 64

  • 2

Solution:

NA

Q26.

If  logx 25 - logx 5 + logx (1/125) = 2,  find the value of x.

  • 1

  • 1/2

  • 5

  • 1/5

Solution:

NA

Q27.

If (loga)/(b - c) = (logb)/(c - a) = (logc)/ (a - b)

find the value of aa.bb.cc 

  • 2

  • 3

  • 1

  • 4

Solution:

NA