WorksheetsMATHS (1ST, 2ND & 3RD TOPIC WITH PERMUTATIONS)
Total questions: 35
Worksheet time: 18mins
The students of two classes are in the ratio of 5:7, if 1 students left from each class, the remaining students are in the ratio of 4:6 then the no. of students in each class is:
30.40
25,24
40,60
50,70
If A:B = 2:5, then (10A + 3B) : (5A + 2B) = ?
7:4
7:3
6:5
7:9
If log2X + log4X = 6, then the value of X is:
16
32
64
128
The value of (3n+1 + 3n) ÷ (3n+3 − 3n+1 ) is ?
1/5
1/6
1/4
1/9
If logxy = 100 & log2X = 10, then the value of Y is:
210
2100
21000
210,000
Which of the numbers are not in praportion ?
6,8,5,7
7,3,14,6
18,27,12,18
8,6,12,9
Value of log3601 + log4601 + log5601 is?
0
1
5
60
The ratio of the no. of Rs.5 coins and Rs.10 coins is 8:15. If the value of Rs.5 coins is Rs.360, then the no. of Rs.10 coins will be:
72
120
135
185
If 1/2, 1/3, 1/5 & 1/X are in praportion, then the value of "X" will be:
15/2
6/5
10/3
5/6
5X + 63X − 2 is the duplicate ratio of 32 then find the value of X:
2
6
5
9
If the ratio of two numbers is 7:11. If 7 is added to each number then the new ratio will be 2:3 then the numbers are:
49 , 77
42 , 45
43 , 42
39 , 40
Find the possitive value ofK for which the equations X2 + kX + 64 = 0 and X2 − 8X + k = 0 will have real roots
12
16
18
22
A man sells 6 radios and 4 televisions for Rs.18,480. If 14 radios and 2 televisions are sold for the same amount, what is the price of the television?
Rs.1848
Rs.840
Rs.1680
Rs.3360
Ifone root ofthe equation is 2+ 5 , then the quadratic equation is?
X2 + 4X − 1 = 0
X2 − 4X − 1 = 0
X2 + 4X + 1 = 0
X2 − 4X + 1 = 0
The value of 6+6+6+......... is ?
-3
3
2
4
If the ratio of (5x-3y) and (5y-3x) is 3:4, then the value of x:y is
27:29
29:27
3:4
4:3
If roots of the equation
X2 + X + r = 0 are "α" & "β" and α3 + β3 = −6 . Find the value of "r"-5/3
7/3
-4/3
1
Roots of the equation 2X2 + 3X + 7 = 0 are α & β . The value of αβ−1 + βα−1
-2
3/7
-7/2
-19/14
If b2 - 4ac is a perfect square but not equal to zero then the roots are
real & equal
real, irrational & equal
real, rational & unequal
imaginary
A person on a tour has Rs.9600 for his expenses. If his tour is extended by 16 days he has to cut down his daily expenses by Rs.20, his original duration of the tour had been
48 days
64 days
80 days
96 days
Rs.8000 becomes RS.10,000 in two years at simple interest. the amount that will become Rs.6875 in 3 years at the same rate of interest is?
Rs.4850
Rs.5000
Rs.5500
Rs.5275
The difference between the simple interest and compound interest on a certain sum for 3 years at 5% p.a. is Rs.228.75. the compound interest on the sum for 2 years at 5% p.a. is?
Rs.3715
Rs.3075
Rs.3275
Rs.2975
X invest Rs.10,000 every year starting from today for next 10 years. Suppose interest rate is 8% p.a. compounded anually. calculate future value of annuity?
Rs.156454.88
Rs.144865.625
Rs.156554.88
Rs.None of these
The present value of an annuity of Rs.3000 for 15 years at 4.5% p.a. C.I. is:
Rs.23809.67
Rs.32218.67
Rs.32908.67
Rs.32578.76
The rate of simple interest on a sum of money is 6% p.a. for first 3 years, 8% p.a. for the next five years and 10% p.a. for the period beyond 8 years. if the simple interest accrued by the sum for the period of 10 years is Rs.1560. The sum is :
Rs.1500
Rs.2000
Rs.3000
Rs.5000
A sum of money doubles itself in 10 years. The no. of years it would trebles itself is:
25 years
20 years
15 years
30 years
In what time will Rs.3,90,625 amounts to Rs.4,56,976 at 8% p.a. when the interest is compounded semi-annually.
2 years
4 years
5 years
7 years
A machine can be purchased for Rs.50,000. Machine will contribute Rs.12,000 per years for the next 5 years. assume borrowing cost is 10% p.a. Determine weather machine should purchased or not.
Should be purchased
Should not be purchased
Can't say about purchase
None of these
How much amount is required to be invested every year so as to accumulate Rs.3,00,000 at the end of 10 years, if investment is made at 10% p.a. compounded annually.
Rs.18,823.65
Rs.18,828.65
Rs.18,832.65
Rs.18,882.65
A certain sum of money amounts to Rs.6300 in two years and Rs.7875 in 3 years and nine months at simple interest. Find the rate of interest per annum.
20%
18%
15%
10%
How long will Rs.12,000 take to amount to Rs.14,000 at 5% p.a. converted quarterly?
3 years
3.1 years
3.5 years
3.3 years.
In how many ways 5 children can be seated in a row
720 ways
120 ways
60 ways
none of these
How many words can be formed with the letters MONDAY
720
120
450
540
7 books are to be arranged in such a way so that two particular books are always at first and last place. Find the no. of arrangements.
60
120
240
480
In how many ways a letter "SHRIKANT" can be arranged so that it will start with "S" only and ends with "T" only.
360 ways
1440 ways
720 ways
540 ways
