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
Q. Consider the following statements -
1. The minimum number of points of intersection of a square and a circle is 2.
2. The maximum number of points of intersection of a square and a circle is 8.
Which of the above statements is/ are correct?
1) 1 only
2) 2 only
3) Both 1 and 2
4) Neither 1 nor 2
Q. A man takes half time in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?
1) 1 : 2
2) 2 : 1
3) 1 : 3
4) 3 : 1
Q. How many pairs of natural numbers are there such that the difference of whose squares is 63?
1) 3
2) 4
3) 5
4) 2
Q. If 1 litre of water weighs 1 kg, then how many cubic millimeters of water will weigh 0.1 gm ?
1) 1
2) 10
3) 100
4) 1000
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