1 . A two digit number is less than 3 times the product of its digits by 8 and the digit
in the ten?s place exceeds the digit in the unit?s place by ?2?.Find the number.
2 . If a light flashes every 6 seconds, how many times will it flash in ? of an hour?
3 . At a special sale, 5 tickets can be purchased for the price of 3 tickets. If 5 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 5 tickets?
4 . A bus started from bustand at 8.00am, and after staying for 30 minutes at a destination, it returned back to the busstand. The destination is 27 miles from the busstand. The speed of the bus is 18mph. During the return journey bus travels with 50% faster speed.At what time does it return to the busstand?
5 . A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.
6 . A horse is placed for grazing inside a square field 12m long and is tethered
to one corner by a rope 8m long. Find the grazing area of the horse.
7 . Two coal loading trucks handle 9000 tonnes of coal at an efficiency of
90% working 12 hours per day for 8 days. How many hours a day, 3 coal
loading trucks should work at an efficiency of 80% so as to load 12000 tonnes
of coal in 6 days.
8 . If 12 man can do a piece of work in 36 days. In how many days 18 men can do
the same work?
9 . In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
10 . Today is 3rd November. The day of the week is Monday. This is a leap year. What
will be the day of the week on this day after 3 years?
11 . Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
12 . In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
13 . A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The
amount paid by him was Rs._______ for the horse and Rs.________ for the cart.
100 , 200
14 . 4 men or 8 women can do a piece of work in 24 days. In how many days, will
12 men and 8 women do the same work?
15 . A millionaire bought a job lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.
16 . The efficiency of the first machine tool is 20% less than that of the 2nd
one. The first machine tool operated for 5 hours, whereas, the second one
operated for 4 hours and together they machined 4000 work pieces. Find the
number of work-pieces machined by the first machine tool.
17 . From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
18 . A salesperson by mistake multiplied a number and got the answer as 3, instead of dividing the number by 3.What is the answer he should have actually got?
19 . A number when divided by 19, gives the quotient 19 and remainder 9. Find the
20 . A can run a km in 3 min and 54 sec and B can run the same distance in 4 min
and 20 sec. By what distance can A beat B?