Q. If x2 - y2 = 7 and x - y = 1, then the length of a diagonal of a rectangle with length and width respectively x cm and y cm will be
1) 5 cm
2) 6 cm
3) 7 cm
4) 8 cm
Q. The next term in the sequence
1, 3, 9, 15, 25, 35, 49, ... will be -
1) 80
2) 64
3) 81
4) 63
Q. One tap can fill a water tank in 3 hours and another tap can empty it in 4 hours. If the tank is one-third full and both the taps are opened together, then the time taken to fill the tank will be -
1) 8 hours
2) 9 hours
3) 10 hours
4) 11 hours
Q. The number of ways in which 12 identical pens can be distributed between two students, if each student is to get at least two pens, is -
1) 8
2) 9
3) 10
4) 11
Q. Two trains, each of length 150 metres, are moving in opposite directions with equal speed of 90 km per hour. The time taken by the trains to cross each other will be -
1) 3 seconds
2) 4.5 seconds
3) 6 seconds
4) 9 seconds
Q. A man walks 3 km towards north of his house and turns left and walks 2 km. Then he turns right and walks 1 km. Then he again turns right and walks 5 km. How far is he now from his house?
1) 4 km
2) 5 km
3) 8 km
4) 11km
Q. The sum of ages of three brothers born at intervals of 5 years, is 36 years. The difference between the ages of eldest and the youngest brother is -
1) 5 years
2) 10 years
3) 12 years
4) 15 years
Q. Find the least perfect square that is divisible by 21, 36 and 66.
1) 214344
2) 213444
3) 231444
4) 214434
Q. A vessel contains 20 liters containing milk and water in the ratio 3 : 2. Ten liters of this milk is removed and replaced with equal amount of pure milk. If this process is repeated once again, find the final ratio of milk and water.
1) 4 : 1
2) 5 : 3
3) 9 : 1
4) 1 : 4
Q. Which number will best complete the relationship given below?
6 : 24 :: 120 : ?
1) 212
2) 215
3) 229
4) 210
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