Ques 1.
A number consists of two digits whose sum is one fourth of the number. If the digits are reversed , the number becomes 27 more than the original .Find put the two-digit number.
(a) 45
(b) 56
(c) 36
(d) 81
Ans 1. Let the ten digit's and the unit's digit of the number be x and y respectively .
1/4 ( 10x + y) = x + y and
10y + x = 10x + y + 27
solving the two equation we get x =3 and y = 6.
Hence, the number is 36.
1/4 ( 10x + y) = x + y and
10y + x = 10x + y + 27
solving the two equation we get x =3 and y = 6.
Hence, the number is 36.
Ques 2.
Ten years hence a man will be twice as old as his son be, but two years ago e was four times as old as his son then was .find the sum of their present ages.
(a) 36 years
(b) 34 years
(c) 44 years
(d) 52 years
Ans 2. let the man's present age be x and his son's present age be y.
. . x + 10 = 2 ( y + 10) and
x -2 = 4 ( y - 2)
From the above equation we get x + y= 34.
. . x + 10 = 2 ( y + 10) and
x -2 = 4 ( y - 2)
From the above equation we get x + y= 34.
Ques 3.
An army of 12000 consists of Europeans and Indians. The average height of a European is 5 ft 10 inches and that of an Indian 5 ft 9 inches and that of the whole army is 5 ft 9 3/4 inches.
Find the numbers of Indians in the army .
(a) 2000
(b) 3000
(c)4000
(d) 5000
Ans 3.
Ques 4.
Two hours riders travel 150 km and 65 km in 12 hours and 5 hours respectively .Find the ratio if average speeds of the riders.
(a) 5 :6
(b) 15 : 16
(c) 25 : 26
(d) None of these
Ans 4.
Ques 5.
An alloy contains copper and zinc in the ratio 5 : 3 and another alloy contains copper and tin in ratio 8 ;5 . If equal amounts of both the alloys are melted together ,find the weight of tin per kg in the resulting alloy.
(a) 90 g
(b) 192 g
(c) 149 g
(d) None of these
Ans 5.
Ques 6.
A candidates got 20% of the total marks and failed y 18 marks .Another candidate got 32% of the total marks and got 42 marks more than the necessary pass marks. Find the total number of marks.
(a) 400
(b) 450
(c) 500
(d) 600
Ans 6.
. . In selling 130 kg he gains cost price of 130 x 0.065 kg of sugar.
Ans 8.Ques 7.
What is 10%of 15% of 20% of Rs 500 ?
(a) Rs 1.30
(b) Rs 1.50
(c) Rs 15
(d) Rs 130
Ans 8.Ques 8.
A person sold his watch for Rs 75 and got a percentage of profit equal to the cost price .find the cost price of the watch .
(a) Rs 100
(b) rs 150
(c) Rs 75
(d) Rs 50
Ans 9. In selling 1 kg of sugar the grocer gains the cost price of 0.065 kg of sugar.Ques 9.
A grocer who professes to sell sugar at cost price used a light weight of 935 g instead of a kg in selling 130 kg sugar .How much does he gain in the transaction is 2 1/2 kg for ten rupees ?
(a) Rs 3.80
(b) Rs 35
(c) 37.18
(d) None of these
. . In selling 130 kg he gains cost price of 130 x 0.065 kg of sugar.
Ans 10.Ques 10.
The cost price of a certain book to a bookseller is Rs 37.50 .Find the price he should quote for the book if he wants to secure a profit of 20% after allowing 6 1/4% commission to the customers.
(a) Rs 48
(b) Rs 50
(c) Rs 75
(d) None of these