Q. There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are the same. At 2:00 p.m., they together turn green. At what time will they change to green next, simultaneously?
1) 4:00 PM
2) 4:10 PM
3) 4:20 PM
4) 4:30 PM
Q. AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. Further A, B, C, D, E, F, G, H, and I are digits. If E = 0, F = 8, then what is A + B + C equal to?
1) 6
2) 7
3) 8
4) 9
Q. Consider the sequence ABC_ _ABC_DABBCD_ABCD that follows a certain pattern.
Which one of the following completes the sequence?
1) DACB
2) CDAB
3) DCCA
4) DDCA
Q. There are a large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, and 50 gm each. Consider the following statements:
I. To buy 78 gm of coins one must buy at least 7 coins.
II. To weigh 78 gm using these coins one can use less than 7 coins.
Which of the statements given above is/are correct?
1) Only 1
2) Only 2
3) Both 1 and 2
4) Neither 1 nor 2
Q. There are five persons P, Q, R, S, and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?
1) 6
2) 12
3) 18
4) 24
Q. A flag has to be designed with 4 horizontal stripes using some or all of the colours red, green, and yellow. What is the number of different ways in which this can be done so that no two adjacent stripes have the same colour?
1) 12
2) 18
3) 24
4) 36
Q. How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?
1) 12
2) 18
3) 36
4) 72
Q. 125 identical cubes are arranged in the form of a cubical block. How many cubes are surrounded by other cubes from each side?
1) 27
2) 25
3) 21
4) 18
Q. For any choices of values of X, Y and Z the 6-digit number of the form XYZXYZ is divisible by -
1) Only 7 and 11
2) Only 11 and 13
3) Only 7 and 13
4) 7, 11, and 13
Q. A 3-digit number ABC, on multiplication with D, gives 37DD where A, B, C, and D are different non-zero digits. What is the value of A + B + C?
1) 18
2) 16
3) 15
4) Cannot be determined due to insufficient data
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