CENTRAL TENDENCY
1) The weight of 6 persons in a firm are 64, 66,63,69,75,68 kg respectively. What is their mean weight?
a) 56.7 b) 67.5 c) 76.5 d) 65.7
2) The profit (in Rs) of a small shopkeeper of a week is 207,205,210,221,230,204,218. What is his mean profit per day?
a) 115 b) 225 c) 215 d) 125
3) The AM of 1,3,5,.......,29 is
a) 13 b) 15 c) 14 d) 16
4) The word length in each of the 40 words are as follows:
X: 2 3 4 5 7
F: 6 8 12 10 4
What is the mean of the above distribution?
a) 4.35 b) 4.05 c) 4.25 d) 4.15
5) The AM of a variable x is 40. What will be the mean of the variable y, when y= 4x - 10.
a) 160 b) 165 c) 155 d) 150
6) The mean age of a group of 30 girls is 20 years, and that of a group of 20 boys is 30 years. If the two groups are taken together to form a new group, what is the mean of this group?
a) 22 b) 24 c) 23 d) 25
7) The mean marks of 170 students in a certain class is 75. The mean mark of boys in the class is 85, and of the girls is 65. Find the number of boys and girls in the class.
a) 85,85 b) 65,105 c) 75,95 d) 80,90
8) The mean marks obtained in an examination by two gr of students were found to be 75, 85 respectively. What will be the ratio of students in the two groups, if the mean marks for all students was 100.
9) Suppose x takes the value 2,4,6,8,10,12. Then what will be the value of ∑(xᵢ - mean x)?
a) 0 b) 1 c) 2 d) 3
10) Sum of the deviation from mean is
a) 0 b) 1 c) mean of the number d) can't determine
11) For a set of 10 observations, what will be the mean for the values of x: 10,10,10,.....10.
a) 8 b) 9 c) 10 d) 11
12) The AM of 7 items is 10. If one more item is added to the series, then the AM becomes 12. Find the value of 8th item.
a) 24 b) 26 c) 28 d) none
13) What will be the weighted AM of the first n natural numbers when the numbers are weighted by the corresponding numbers?
a) (n+1)/3 b) (2n+1)/2 c) (2n+1)/3 d) (2n+3)/2
14) The AM of a set of values is 15. If 5 is added to each value, the new AM will be
a) 10 b) 15 c) 20 d) none
15) The AM of 1, 2,2²,......2⁹ is
a) 18.341 b) 18.431 c) 18.143 d) 18.413
16) The weighted AM of first 11 natural numbers whose weights are equal to the corresponding numbers, is
a) 6.77 b) 8.55 c) 7.66 d) none
17) The marks of 7 students in a test in statistics are 0,100,12,18,17,10,32. A suitable average of these marks is
a) Mean b) median c) mode d) none
18) If 3,9,6,7,10,8,4,1,5,2 are the observations, then find the median
a) 5 b) 5.5 c) 6.5 d) 6
19) Which quartile is the median
a) 1st quartile b) 3rd quartile c) 2nd quartile d) none
20) If the relation between two variables x and y be 3x + 7y=50, and median of y is 5. Then median of x is
a) 4 b) 5 c) 6 d) 7
21) If the mean and median are 24 and 26 respectively. Find mode
a) 27 b) 28 c) 29 d) 30
22) In usual symbols, mode= 3 median - a x mean, where a is
a) 1 b) 2 c) 3 d) none
23) How many quartiles are there
a) 1 b) 2 c) 3 d) 4
Matrix - Test
) If A= 2 0 & B= 1 2
1 2 2 1 find A+ B
2) If A= 1 2 3 & B= 1 2
4 5 6 3 4
find A+ B
3) If A= 0 2 & B= 7 8
2 1 1 4 find
a) 2A + 3B
b) 3A - B
c) AB
4) If A= 1 3
3 4 and A²- kA - 5=0, then find k.
5) If A= 1 0 & B= 0 1
0 1 -1 0
Then show that (aA+ bB)(cA+ dB)= (ac - bd)A+ (ad + bc)B.
BANKING
Sap-1
1) Amit deposited Rs 150 per month in a bank for 8 months under the recurring deposits. If the rate of interest is 8% p.a. and intrest is calculated at end of every month?
2) Laxmi took a cumulative time deposit account of Rs 240 per month at 10% p.a. she received Rs 3840 on maturity. Find the period for this account.
3) Manoj opened Recurring Deposit Account in a bank and deposited Rs 500 per month for 3 years. The bank on Rs 20220 on maturity. Find the rate of interest paid by the bank.
4) Raju opened a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10% per annum.
5) Miss Anshu Gupta deposited Rs 350 per month for 20 months under Recurring Deposit Scheme. Find the total amount payable by the bank on maturity of the account if the rate of interest is 11% per annum.
6) Mrs. Mathew opened Recurring Deposit Account in a bank with Rs 500 per month for 5/2 years. Find the amount she will get on the maturity. If the interest is paid on monthly balance at 12.5% per annum .
7) Calculate the amount received on maturity of a recurring deposit of Rs 150 per month for 1 year 6 months. if the rate of interest is 11% per annum .
8) Amar deposits Rs 1600 per month in a Recurring Deposit for 3 years at the rate of 9% p.a simple interest. Find the amount Amar will get at the time of maturity.
9) A Recurring Deposit Account of Rs 1200 per month has a maturity value of Rs 12440. If the rate of interest is 8% and the interest is calculated at the end of every month, find the time (in months) of this Recurring Deposit Account .
10) Sujata deposited , a certain sum of money, every months, for 5/2 years in a cumulative Time Deposit Account. At the time of maturity she collected Rs 4965. if the rate of interest was 8% p.a., find the monthly deposit.
Sap-2
1) Sunita paid Rs 300 per month for 2 years. He received Rs 7875 as the maturity amount. Find the rate of interest.
2) Meena has a cumulative Time Deposit Account of Rs 340 per month at 6% per annum. If she get Rs 7157 at the time of maturity, find the time for which the account was held.
3) On depositing Rs200, every month paying 9% p.a interest, a person collected Rs 2517 at maturity. Find the period.
4) Mamta has a cumulative Time Deposit Account in a bank. She deposits Rs 800 per month and gets Rs 15198 as maturity value. If the rate of interest be 7% p.a., find the total time for which the account was held.
5) Karim has a recurring deposit account for 2 years at 10%. If he receives Rs 1900 as interest, find the value of monthly installment paid by him.
6) Saloni has a cumulative time deposit account of Rs 340 per month at 6% p.a., if she get 7157 at the time of maturity, find the total time for which the account was held.
7) A man deposited Rs 150, every month in a bank for 8 months under the recurring deposit scheme. Find the maturity value of his deposits, if the interest is calculated every month and the rate of interest is 8% p.a.
8) Calculate the amount receivable on maturity of
a) recurring deposit of Rs 1200, deposited every month for 24 months at 10% p.a.
b) recurring deposit of Rs 100, every month for 5 years at 11% p.a.
c) recurring deposit of Rs 500, every month for 27 months at 10.5% p.a.
