 # Maths Quiz for 2016-17 Exams

1. A Juice seller has three types of juice, 403 litre of 1st kind, 434 litre of 2nd kind and 465 litre of 3rd kind. Find the least possible number of cases of equal size in which different types of juice can be filled without mixing.
(a) 46
(b) 44
(c) 42
(d) 31
Size of each cask must be equal to greatest capcity .Hence ,capacity of cask must be equal to the HCF of 403, 434 and 465.
capacity of a cask = required HCF i.e.31
Required no of cask = 403/31 + 434/31 + 465/31
= 13 + 14 + 15 = 42

2. Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is
(a) 996
(b) 696
(c) 669
(d) 896
Let the number be 29x and 29y respectively
where x and y are prime to each other.
so LCM of 29x and 29y = 29xy
Now,29xy = 4147
so xy = 143 = 11*13
so Numbers are
29*11 = 319 and 29*13 = 377
so Required sum = 377+319 = 696

3. If 4 is added to one-fifth of a number and 10 is subtracted from one-fourth of that, then both becomes equal. Then find the number.
(a) 260
(b) 280
(c) 240
(d) 270
Let the number be = x
so x/5 + 4 = x/4 – 10
x/4 – x/5 = 10 + 4
(5x-4x)/20 = 14
x = 20*14 = 280

4. In a three digit number, the digit at the hundred place is twice the digit at the unit’s place and the sum of digit is 18. If the digits are reverse then number is reduced by 396. The difference of hundred’s and ten’s place digit of the number is
(a) 1
(b) 2
(c) 3
(d) 5

5. 8 men can do a work in 12 days. After 6 days of work, 4 more men are engaged to finish the work. In how many days would the remaining work be completed?
(a) 2
(b) 3
(c) 4
(d) 5
W1/M1D1 = W2/M2D2
1/(8*12) = 1/2/(12*D2)
D2 = 4 days

6. The average value of property of Mittal, Ambani and Singhaniya is  Rs.11111 crore. The property of Singhaniya is as less as the average property as of Mittal is greater than the average property. Then, the value of property of Ambani is
(a) 111 crore
(b) 11111 crore
(c) 3703.7 crore
(d) Can’t be determined
Acc. to ques.
(M+A+S)/3 = 11111
M+A+S = 33333
M – 11111 = 11111-S
M+S = 22222
so value of property of Ambani
= 33333-22222= 11111

7. There are 10 compartments in a passenger train which carries on an average 20 passengers. If 12 passengers are sitting in each compartment and no compartment has equal number of passengers then maximum how many passenger can be accommodated in any compartment?
(a) 64
(b) 45
(c) 56
(d) None of these

8. A jar is full of honey. A person draws 20% of the honey from the jar and replaces it with sugar solution. He has repeated the same process 4 times and these there is out of 512 gm of honey left in the jar. The initial amount of honey in the jar was
(a) 1.25 kg
(b) 1 kg
(c) 1.5 kg
(d) None of these

9. Renuka got married 8 years ago. Today her age is 1(1/3) times her age at the time of marriage. Her daughter’s age is 1/8 times of her age. Her daughter’s age is
(a) 3 years
(b) 4 years
(c) 6 years
(d) 8 years

10. A and B have to write 810 and 900 pages respectively in a same time period. But A completes his work 3 hours ahead of time and B completes 6 hours ahead of time. How many pages did A write per hour if B wrote 21 pages more in each hour?
(a)  45
(b)  72
(c)  54
(d)  100