Q. If x = 4 cos A + 5 sin A and y = 4 sin A - 5 cos A, then the value of x2 + y2 is -
1) 25
2) 16
3) 0
4) 41
Q. How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?
1) 5
2) 11
3) 12
4) 13
Q. The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?
1) 25 years
2) 30 years
3) 35 years
4) 45 years
Q. A person bought a car and sold it for Rs. 3,00,000. If he incurred a loss of 20%, then how much did he spend to buy the car?
1) Rs. 3,60,000
2) Rs. 3,65,000
3) Rs. 3,70,000
4) Rs. 3,75,000
Q. How many zeroes are there at the end of the following product?
1 x 5 x 10 x 15 x 20 x 25 x 30 x 35 x 40 x 45 x 50 x 55 x 60
1) 10
2) 12
3) 14
4) 15
Q. Let XYZ be a three-digit number, where (X + Y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by -
1) 3
2) 9
3) 37
4) (X + Y + Z)
Q. Let p, q, r and s be natural numbers such that p - 2016 = q + 2017 = r - 2018 = s + 2019
Which one of the following is the largest natural number?
1) p
2) q
3) r
4) s
Q. How many five-digit prime numbers can be obtained by using all the digits 1, 2, 3, 4 and 5 without repetition of digits?
1) Zero
2) One
3) Nine
4) Ten
Q. A person X can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?
1) 6
2) 8
3) 10
4) 12
Q. A car travels from a place X to place Y at an average speed of v km/ hr, from Y to X at an average speed of 2v km/ hr, again from X to Y at an average speed of 3v km/ hr and again from Y to X at an average speed of 4v km/ hr. Then the average speed of the car for the entire journey -
1) is less than v km/ hr
2) lies between v and 2v km/ hr
3) lies between 2v and 3v km/ hr
4) lies between 3v and 4v km/ hr
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