Question Bank  Arithmetic  Hemant Malhotra

@hemant_malhotra 7/13

Q50) Bhagat and Chandu start simultaneously from village X to village Y, with their respective speeds in the ratio of 3 2. After traveling onefourth of the total distance. Chandu triples his speed and travels for some more time. Following which, he again changes his speed and completes the rest of the journey. Bhagat, however maintains his initial speed throughout the journey. If both Bhagat and Chandu reach the village Y at the same time, and the time for which Chandu travel'ed at thrice his initial speed was onethird or his total time of travel, then find the ratio of the respective speeds with which Bhagat and Chandu reach the village Y.
a) 24 : 7
b) 18 : 7
c) 7 : 2
d) 3 : 1
e) 4 : 1

Let total distance be 360x
and speed be 3x and 2x
Time by B = 360x/3x = 120
so Total time by C has to be 120
Now first 1/4 = 360 * 1/4 = 90x
Now first distance 1/4 = 360*1/4 = 90 so time = 45
next , 1/3 of total time ie 120 so 40
time left 40+42 = 85 so 12085 = 35
and distance left =360x  90x  240x = 30x
so speed has to be 30x/35 = 6x/7
so final ratio
3x: 6x/7
or 7:2

Q51) A vendor sells 20 apples for a Rupee gaining there – by 50%. How many apples did he buy for a Rupee ?
(a) 30
(b) 12
(c) 14
(d) 16

Q52) Ram and Kanti working together can complete a job in 11^(13/16) days. Ram started working alone and quit the job after completing 1/3rd of it, and then Kanti completed the remaining work. They took 25 days to complete the work in this manner. How many days could Kanti have taken to complete the job working alone?

Total days=189/16 days
let total work =189
so work done in one days=16 unit
Let Ram's work in one day=a unit
Kanti's work in one day=(16a) unit
now work completed by Ram =189 * 1/3=63 unit
numbr of days =63/a
now remaining days=25((63/a))
((25a63)/a
work (16a) * (25a63)/a=126
so a=9
now Kanti's work=7
so kanti will take =189/7=27

Q53) Ram and Shyam have some coins. If Ram gives x coins to Shyam, he would have thrice as many coins as Shyam would. If Ram gives 2x coins to Shyam, he would have twice as many coins as Shyam would. What is the ratio of the number of coins with Ram and Shyam initially?
a) 7 : 1
b) 5 : 2
c) 5 : 1
d) Cannot be determined.

Q54) Ram and Rohan are walking towards each other. When they both started together at 08:00 hours, they meet at 08:04 hours. If Ram starts at 08:00 and Rohan starts at 08:03 hours from their initial position, they meet at 08:05 hours. How much minutes would Rohan take to reach Ram if Ram doesn't walk at all ?
a) 8
b) 9
c) 10
d) 11
e) 12

Q55) A man sells two scooters for Rs.12000 each. He makes a profit of 20% on one and a loss of 20% on the other. The profit/loss, on the whole, is
a) Rs.1000 profit
b) Rs.1000 loss
c) Rs.960 profit
d) Rs.960 loss

Q56) If the selling price of 10 apples is equal to the cost price of 14 apples, which, in turn is equal to onethird of the total discount offered upon 70 apples. Then find the profit / loss percentage when the markup percentage is halved and the discount percentage is decreased by 5 percentage points?

Q57) John bought 20 kg of wheat at the rate of Rs.8.50 per kg and 35 kg at the rate of Rs.8.75 per kg. He mixed the two. Approximately at what price per kg should he sell the mixture to make 40% profit at the cost price?
a. Rs.12
b. Rs.8
c. Rs.16
d. Rs.20

Q58) M litres of milk solution contains 80% milk. Instead of adding certain amount of water to change the 80% milk solution to 60% milk solution, same amount of milk is added by mistake. To the resulting solution W litres of water is added and the initial objective of 60% milk solution is attained. What is the ratio of M and W.

Q59) I sold 4 items @ rs 300, 300, 300, 700 and customer settled whole deal on 1400 rs with 200 rs as bargain money and he gave me 1300 rs and promise to pay 100 rs later . on next day he came and return 700 rs item so, tell me how much money should I give him back ?

Q60) A shopkeeper claims to sell his items at 10% loss. but he secretly makes a profit of 20% by using a false weight. what is effective profit % that he makes on 100 gm.

Q61) Maalchand had 100 pieces each of articles A and B. A was cheaper in price than B. Fearing police raid, Maalchand decides to sell all the pieces in two days. On the first day, he sold A and B at 10% and 30% profit respectively. Although, he made a net profit of 25%, the articles did not sell much and was not more than 25 pieces of each type. On second day, A and B were sold at 30% and 10% profit respectively. In the process, all the articles of Maalchand were sold, but his net profit for the second day was reduced to 20%. Which among the following is not true?
(a) the cost price of each piece of article A was less than 18% cheaper than each piece of article B
(b) the total sale on the first day was 19.5% of the total sale
(c) the net profit on the total sale was 20.9%
(d) all of the foregoing
(e) none of the foregoing

Q62) A contains Petrol and diesel in the ratio 7:9 ,mixture B contains Diesel and petrol in the ratio 13:11 . In what ratio should the two be mixed so that proportion of petrol in the the resultant mixture is 50%?

OA= Not Possible
In A & B content of petrol is less than 50% so it's not possible to obtain 50% petrol from mixture

Q63) x can do a piece of work in 20 days working 7 hrs a day. The work is started by x and on the second day one more man whose capacity to do work is twice that of x, joined. on the third day another man whose capacity is thrice as that of x, joined and the process continues till the work is completed. in how many days will the work be completed, if everyone works for 4 hours a day

Q64) The average of three consecutive multiples of 3 is a.
The average of four consecutive multiples of 4 is a + 27.
The average of the smallest and largest of these seven integers is 42.
Determine the value of a.

3(k+1) = a
4p+6 = a+27
4p+3k = 72
3 equations 3 variables.
k = 8 ; p = 12 and a = 27.