1. A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by
(1) 7
(2) 11
(3) 13
(4) Smallest 3-digit prime number
2.A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is :
(1) 0
(2) 1
(3) 2
(4) 3
3.The number 1, 2, 3, 4,…………..1000 are multiplied together. The number of zeros at the end (on the right) of the product must be
(1) 30
(2) 200
(3) 211
(4) 249
4.The average age of 11 players of a cricket team is increased by 2 months when two of them aged 18 years and 20 years are replaced by two new players .The average age of the new players is :
(1) 19 years 1 month
(2) 19 years 9 month
(3) 19 years 11 month
(4) 19 years 5 month
5.The sum of the H.C.F. and L.C.M of two number is 680 and the L.C.M. is 84 times the H.C.F. If one of the numbers is 56, the other is :
(1) 84
(2) 12
(3) 8
(4) 96
6.A reduction of 33 1/3% in the price of an item would enable a purchaser to get 4 more a rupee. The price before reduction was :
(1) 2 per rupee
(2) 4 per rupee
(3) 12 per rupee
(4) 8 per rupee
7.Rs. 68000 is divided among A, B and C in the ratio of 1/2 ∶ 1/4 ∶ 5/16 , The difference of the greatest and the smallest part is :
(1) Rs. 6000
(2) Rs. 14440
(3) Rs. 9200
(4) Rs. 16000
8.The difference between simple and compund interest on a certain sum of money for 2 years at 4 per cent per annum is Rs. 1. The sum of money is :
(1) Rs. 600
(2) Rs. 625
(3) Rs. 560
(4) Rs. 650
9.The cost of manufacturing an article was Rs. 900. The trader wants to gain 25% after giving a discount of 10%. The marked price must be :
(1) Rs. 1500
(2) Rs. 1250
(3) Rs. 1200
(4) Rs. 1000
10.A and B together can do a work in 8 days, B and C together in 6 days while C and A together in 10 days, if they all work together, the work will be completed in :
(1) 3 3/4 days
(2) 3 3/7 days
(3) 5 5/47 days
(4) 4 4/9 days
Answers and solution:
1.(4) Let the unit digit be x and ten’s digit be y.
∴ Number
= 1000y + 100x + 10y + x
= 1010y + 101x = 101 (10y + x)
Clearly, this number is divisible by 101, which is the smallest three-digit prime number.
2.(4) The remainder will be same.
On dividing 9 by 6, reminder = 3
On dividing 81 by 6, remainder = 3
3.(4) Zeros are obtained if there is any zero at the end of any multiplicand and if 5 or multiply of 5 are multiplied by any
even number i.e(5)^n(2)^m has n zeros if n <m or zeros if m<n
Now ,we obtain the index of 5 as follows:
Index = (1000/5) + (1000/5^2) + (1000/5^3) + (1000/5^4)
= 200+40+8+1 = 249
4.(3) Total age increased
= 11×2=22 months
Total age of new players
= (18 + 20) years + 22 months
= 39 years 10 months
∴ Their average age
= (39 years 10 months)/12
= 19 years 11 months
5.(4) Let HCF be h and LCM be l.
Then, l = 84h and l + h = 680
=> 84h + h = 680
=> h = 680/85=8
∴ l = 680-8 = 672
∴ Other number
= (672×8)/56=96
6.(4)
7.(4) Ratio = 1/2 ∶ 1/4 ∶ 5/16
= 8 : 4 : 5
Sum of ratios = 8 + 4 + 5 = 17
∴ Required answer
= Rs. ((8-4)/17)×68000
= Rs. 4/17×68000
= 16000
8.(2)
9.(2) CP = Rs. 900
∴ S.P. = 125% of 900
= Rs. ((900×125)/100)
= Rs. 1125
Let the marked price be Rs. x
∴ 90% of Rs. x = Rs. 1125
=> x = (1125×100)/90=Rs.1250
10.(3)
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