## QBM043

Q1. When 36 divide a number, it leaves a remainder of 19. What will be the remainder when 12 divide the number?
A.10

B.7

C.11

D.None of these
Q2.An isosceles triangle with equal angles = 75o is cut from a cardboard. How many such triangles need to be joined together to form a regular polygon?
1)10

2) 12

3)6

4) A regular polygon cannot be formed
Q3.Find a number such that if 5, 15 and 35 are added to it, the product of the first and third results may be equal to the square of the second.
a)10

b)7

c)6

d) 5
Q4.What is the ten's digit of 43^{6}?
a)4

b) 1

c) 9

d) none of these
Q5. A can do a piece of work in 36 days, B in 54 days and C in 72 days. All of them began together but A left 8 days and B left 12 days before the completion of the work. How many days in all did C put in till the entire work was finished?
(1)48 days

(2)24 days

(3)12 days

(4) None
Q6. The remainder obtained when a prime number greater than 6 is divided by 6 is: (1)1 or 3

(2) 1 or 5

(3) 3 or 5

(4) 4 or 5
Q7. The length of a ladder is exactly equal to the height of the wall it is resting against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then, the height of the wall is:
(1)12m

(2)15m

(3)18m

(4)11m
Q8-Q9
Pinky enters a shop to buy almonds, biscuits and chocolates. She has to buy at least 7 units of each. She buys more biscuits than she does almonds and more chocolates than she does biscuits. She picks up a total of 26 items.
Q8. How many almonds does she buy?
(1)7

(2)8

(3)9

(4) Cannot be determined
Q9.Which of the following is not a valid value for number of chocolates bought?
(1)9 (2)10 (3)11 (4) All are valid
Q10. Four bells begin to toll together and then at intervals of 6, 7, 8 and 9 seconds. The number of times they will toll together in 2 hours and the intervals at which they will are
(a) 14 times, 504 sec

(b) 15 times, 600 sec

(c) 13 times, 650 sec

(d) 11 times, 720 sec
Q11. Ram purchased a flat at Rs. 1 lakh and Prem purchased a plot of land worth Rs. 1.1 lakh. The respective annual rates at which the prices of the flat and the plot increased were 10% and 5%. After two years they exchanged their belongings and one paid the other the difference. Then:
(1) Ram paid Rs. 275 to Prem

(2) Ram paid Rs. 475 to Prem

(3) Ram paid Rs. 2750 to Prem

(4) Prem paid Rs. 475 to Ram
Q12. Mr. Akshay stays in a triangular colony. He stays at one vertex, with a bank and a market at the other two vertices. The roads meeting at the market are at 90. Akshay goes to the bank from his home and then to the market totally covering 160 m. He then walks straight back home from the market. If distance from home to bank is 40 m more then what he covered from bank to market, find the distance he walked from market to home.
(a) 80 m

(b) 120 m

(c) 100 m

(d) 155 m
ANS:
Q13. If you walk for 30 minutes at a rate of 4 miles per hour and then run for 15 minutes at a rate of 10 miles per hour, how many miles have you gone at the end of 45 minutes?
a. 5 miles

b.6 miles

c. 5.5 miles

d. 4.5 miles

e. None of these
Q14. How many zeros contained in 100!?
A. 100

B.24

C.97

D.Cannot be determined
Q15. Divide 183 into 3 parts in GP such that the sum of first and third terms is 2 1/20 times the second. What is the middle term?
a)84

b)75

c)60

d) 48

## few answers

Q1. The number is of the form 36N + 19 and when it is divided by 12 we get 7 as the reminder.

Q3. (N + 5) (N + 35) = (N + 15)^{2}

=> 10 N = 50 => N = 5

Q4. Reminder of 43^{6}/100 = Reminder of 57^{6}/100 = Reminder of 7^{6}/100 [Binomial (50 + 7)^{6}= 7^{6} + 100K ]

= 49

So unit digit =9 and Tenth digit =4