This is a discussion of the Math questions that appeared in the CTET Paper I of January 2012.
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2. Some riders
• Not meant for the Mathematicians!
• For those who are “scared” of Math
• Some of the methods discussed are strictly for
fun, yet may give astonishing results
3. Some Fundamentals of MCQ
• All choices except one are wrong
• Framing the wrong choices takes just one
minute!
– Paired choices
– Units
– Direction
4. Now, if 9:59 A.M. is your correct answer, what
choices would you frame?
Select one:
• a. 9:59 A.M.
• b. 10:01 A.M. Choice Pair!
• c. 9:59 P.M.
• d. 9:57 A.M.
Then, three choices are
A.M. while one is P.M.!
5. What time is 4 hours 59 minutes before
2:58 P.M.?
Select one:
• a. 9:59 A.M.
• b. 10:01 A.M.
• c. 9:59 P.M.
• d. 9:57 A.M.
6. In which of the following divisions, will the
remainder be more than the remainder you get
when you divide 176 by 3?
Select one:
• a. 174 ÷ 4
• b. 175 ÷ 3
• c. 176 ÷ 2
• d. 173 ÷ 5
7. Remainders
• 176 ÷ 3 Maximum remainder is 2.
• Only one correct answer.
• To check, start with the highest divisor, that
is, 5.
• 173 ÷ 5 170 is a multiple, so remainder is 3.
8. Remainders…some more fundas
• Divisibility rule also gives remainder (?)
• 176 ÷ 3
• 1+7+6=14; 1+4=5
• Remainder will be 5 ÷ 3, that is, 2.
• Are there more divisibility rules than you
know of?
9. More divisibility rules
• 11: Keep subtracting the last digit from the
number to get a 0
• 31: Keep subtracting thrice the last digit from
the number to get a 0
• 41: Keep subtracting 4 x the last digit from the
number to get a 0
Can you derive more now? Is there an exception?
http://mathforum.org/dr.math/faq/faq.divisibleto50.html
10. 500 cm + 50m + 5 km =
Select one:
• a. 500 m
• b. 555 m
Answer must be
more than 5 km or
• c. 5055 m
5000 m.
• d. 55 m
11. Sum of place values of 6 in 63606
Select one:
• a. 60606
• b. 6606
• c. 6066
• d. 18
12. The difference of 5671 and the number
obtained on reversing its digits is
Select one:
• a. 4906 Answer must be
• b. 3916 divisible by 9!
• c. 7436 Why?
• d. 3906
Quick way of checking
divisibility?
13. Study the following pattern:
1× 1 = 1 Quick counting:
11×11 = 121 1.How many 1’s in
111×111 = 12321 each number?
.......... .......... 2.How many digits
What is 11111× 11111? in each product?
Select one:
• a. 123454321
• b. 12345421
• c. 123453421
• d. 1234321
14. Which of the following is correct?
Select one:
• a. Predecessor of successor of 1000 is 1000.
• b. Predecessor of predecessor of 1000 is 999.
• c. Successor of predecessor of 1000 is 1001.
• d. Successor of predecessor of 1000 is 1002.
15. A shop has 239 toys. Seventy more toys were
brought in. then 152 of them were sold. The
number of toys left was
Select one:
• a. 239 + 70+ 152
• b. 239 – 70 + 152
• c. 239 + 70 – 152
• d. 239 – 70 – 152
16. A pencil costs two and a half rupees. Amit buys
one and a half dozen pencils and gives a 100
rupee note to the shopkeeper. The money he
will get back is
Select one:
• a. Rs. 45
• b. Rs. 65
• c. Rs. 30
• d. Rs. 55
17. In the product 3759 × 9573, the sum of tens’
digit and units’ digit is
Select one:
• a. 7
• b. 9
• c. 16
• d. 0
18. If 567567567 is divided by 567, the quotient is
Note that the
Select one: choices “look”
• a. 111 similar, but are far
apart!
• b. 10101
• c. 1001001 The given number is
567 followed by 6
• d. 3 digits. So the answer
choice must be the
one with “1”
followed by 6 digits!
19. 19 thousands + 19 hundreds + 19 ones is equal
to
Select one:
• a. 21090
• b. 20919
• c. 19919
• d. 191919
20. How many 1/8 are in 1/2 ?
Select one:
• a. 8
• b. 4
• c. 2
• d. 16
21. The figure consists of five squares of the same
size. The area of the figure is 180 square
centimeters. The perimeter (in cm) of the figure
will be
Select one:
• a. 45
• b. 48
• c. 72
• d. 36
22. The solid as shown in the figure is made up of
cubical blocks each of side 1 cm. The number of
blocks is
Select one:
• a. 52
• b. 60
• c. 72
• d. 48
Must be a multiple of 5, 4 and 3.
23. CTET (Jan 2012) Paper I:
Math Discussion
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