Q. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digits number?
1) 69
2) 78
3) 96
4) Cannot be determined
Q. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :
1) 20
2) 30
3) 40
4) 45
Q. A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by :
1) 3
2) 5
3) 9
4) 11
Q. In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :
1) 24
2) 26
3) 42
4) 46
Q. Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.
1) 3
2) 10
3) 17
4) 20
Q. A and B together have Rs. 1210. If 4/ 15 of A's amount is equal to 2/ 5 of B's amount, how much amount does B have?
1) Rs. 460
2) Rs. 484
3) Rs. 664
4) Rs. 550
Q. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :
1) 2 : 5
2) 3 : 5
3) 4 : 5
4) 6 : 7
Q. A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
1) Rs. 500
2) Rs. 1500
3) Rs. 2000
4) Rs. 2400
Q. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
1) 2 : 3 : 4
2) 6 : 7 : 8
3) 6 : 8 : 9
4) 4 : 9 : 8
Q. In a mixture 60 litres, the ratio of milk and water 2:1. If the this ratio is to be 1:2, then the quantity of water to be further added is:
1) 20 litres
2) 30 litres
3) 40 litres
4) 60 litres
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