Find the number of zeroes at the end of the product 2 × 4 × 6 × 8 × 10 … × 180 a) 1 b) 0 c) 21 d) 120 Sol: 2 × 4 × 6 × 8 × 10 … × 180 ⇒ 290(1 × 2 × 3 × 4 × 5 × […]
Find the number of zeroes at the end of the product 2 × 4 × 6 × 8 × 10 … × 180 Read More »
If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x-2y)? (a) 14 (b) 12 (c) 10 (d) 13 Sol: In such questions directly check divisibility by 11, 9 and 8. For a number to be divisible by 11, the difference of the sum of
If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 72 Read More »
The price of tea increases by 32%, therefore the expenditure on tea increase by 10%. If 10 kg tea was bought earlier, then what is the quantity can buy now? a) 12 kg b) 8 1/3kg c) 6 2/3kg d) 9kg Sol: Let original price of the tea is and consumption after increase in price
What should replace * in the number 94*2357, so that the number is divisible by 11? (a) 3 (b) 7 (c) 1 (d) 8 Sol: For a number to be divisible by 11, the difference of sum of alternative numbers is divisible by 11. Hence, (7+3+*+9)-(5+2+4) =(19+*)-(11) =8+* * must be 3 for 94*2357 to
What should replace * in the number 94*2357, so that the number is divisible by 11 Read More »
If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x+y+z? (a) 9 (b) 16 (c) 5 (d) 27 Sol: It is given that 708x6y8z9 is divisible by 99. Thus, 708x6y8z9 is divisible by both 11 and 9 For divisibility by 9, sum of digits is divisible by 9 (7+0+8+x+6+y+8+z+9
If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x+y+z Read More »
A man borrowed Rs.50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs.15,000 as part payment of the loan and interest. How much does he still owe to the bank after three such instalments? a) 17200 b) 16900 c) 15500 d) 14300 Sol: 50000×11/10=55000-15000=40000 40000×11/10=44000-15000=29000 29000×11/10=31900-15000=16900
Find the reflection of a point (2, –5) when mirror is placed on y = –2.5? a) (2, 0) b) (0, 2) c) (0.5, –5) d) (5, –0.5) Sol: As shown by figure Point P = (2, –5) is shown in fourth quadrant is at y = – 2.5 Difference of mirror with P y
Find the reflection of a point (2, –5) when mirror is placed on y = –2.5? Read More »
Milk and water are mixed in a vessel A in the proportion 5 : 2, and in vessel B in the proportion 8 : 5. In what proportion should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 9 :
A and B together can complete a job in 8 days. Both B and C, working alone can finish the same job in 12 days. A and B commence work on the job, and work for 4 days, whereupon A leaves. B continues for 2 more days, and then he leaves too. C now starts
Find the difference between the simple interest and the compound interest payable annually on a sum of Rs.6,500 at 7% per annum for 3 years. (Correct to two decimal places.) a) 90.90 b) 97.78 c) 92.50 d) 88.80 Sol: 6500×7/100=455 455×7/100=31.85 31.85×7/100=2.295 3(31.85)+2.295=97.78
