1. P and Q can do a piece of work in 20 days and 40 days respectively. They started the work together and Q left after some days of work and P finished the remaining work in 8 days. After how many days from the start did Q leave?
2. Divide Rs. 2,602 between A and B, so that the amount of A at the end of 6 years is equal to the amount of B at the end of 8 years, compound interest being at 4% per annum.
3. Find the simple interest on Rs. 68,000 at 16 2/3% per annum for 9 months.
4. If a:b=3:7 and b:c=7:6, then Find the ratio between c and a
5. The ratio of two numbers is 3:4 and H.C.F is 4. Their L.C.M. is _________
6. A number x is divisible by 13. When this number is divided by 16, 24, 32 it leaves a remainder 6 in each case. The least value of x is __________.
7. There are 80 students in a class. If 25% are absent on a particular day. Find the number of students present in the class.
8. The ratio of boys and girls in a class is 5: 3. If 16% of boys and 8% of girls failed in an examination, then find the percentage of passed students.
9. Find the sum of
1+3+5+...+ 55
10. The next term in the given sequence is
0, 2, 24, 252, 3120, _______.
11. In the series
6 4 1 2 2 8 7 4 2 1 5 3 8
how many pairs of successive numbers have a difference of 2 each?
12. A dice is thrown four times and its four different positions are given below
2 1 3 6
3 5 2 3 4 5 2 5
Find the number on the face opposite the face showing 2.
13. Find the missing term of the sequence :
7, 12, 19, 24, 43, _________, 91
14. The reading in a field book are as given below
To C
(in meters)
150
20 to D 120
80 50 to B
30 to E 50
From A
The area of the field is
15. A person distributes his pens among four friends A, B, C and D in the ratio 1/3:1/4:1/5:1:6 then the minimum number of pens that the person should have is __________.
16. If the ratios formed using the numbers 2, 5, x, 20 are in the same order of proportion, then the value of x is
17. If the HCF of 108 and 234 is expressible of the form 23x-51 then what is the value of x ?
18. Find the HCF of the polynomials x³+x²-x+2 and 2x³-5x²+5x-3.
19. Simplify: (4⁻¹+4⁻²+4⁻³)⁰ × (4⁻¹+4⁻²+4⁻³)¹.
20. The average mark of 25 students was found to be 78.4. Later on, it was found that score of 96 was misread as 69. Find the correct mean of the marks.
21. D, F, G, H, I and M are sitting in a row. I and M are in the centre, and F and D are at the beginning and at the end. G is sitting on the left of D. Then who is sitting on the right of F?
22. If A = 26, SUN = 27, then CAT = ?
23. If a ≠ b ≠ c is given, which one of the following is correct?
24. The missing term in the given alpha-numeric series is
2 X 2, 7 T 4, 14 P 12, 23 L 48, __________
25. Two unbiased dice are rolled once. Find the probability of getting the product of face value is 4 or the difference of the face value is 5.