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Answer Answer t he quest ions ions (1)
Donna, Jos eph and Mich Michael ael shared a bag o f marbles. T he bag cont ained 71 marbles. marbles. IfIf f riends shared marbles equally, equally, how many many marbles marbles would be lef t in t he bag?
(2)
=
- $6
+
+
+
+
+
= $60
+
=?
angle . IfIf each s ide o f rect angle (3) A wire o f lengt h 52 met er is t o be f o lded in t he f o rm of rect angle.
to be an integer (measured in meters meters ), what is t he maxim maximum um num number o f rectangles t hat ca f ormed by by f olding the wire. wire.
+ -9
(4 )
+ =
Find the value of
+
= 80
+
+
+
+
Choose correct answer(s) from given choice (5)
The following table shows the number of cycles manufactured by two companies in 3 mon
Mastermonth your semester with Scribd Company Com pany A Com Company pany B & The New York 1 160 Times 200 Special offer for students: Only $4.99/month.
2
1 80
160
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(7 )
Find the rule rule f or pattern sho wn below, below, 650
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(8)
(9 )
7 00
7 50
8 00
85 0
90 0
25 a. Count ing by 25
10 b. Count ing by 10
50 c. Count ing by 50
d. Count ing by 5
Find the next f igure.
a.
b.
c.
d.
Whic Which h of f ollowing ollowing has the greatest value ? 1,00,000) + (5 × 100) + (7 × 10) a. (8 × 1,00,000)
1,00,000) + (4 × 100) b. (7 × 1,00,000)
1,00,000) + (5 × 100) c. (7 × 1,00,000)
1,00,000) + (4 × 100) + (7 × 10) d. (8 × 1,00,000)
(10) Which Which pair of numbers numbers can complete complete t his conditio n?
× 1000 =
a.
84
b.
and 8400
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804 d.
84 0
Which rule can can be used t o explain explain this number pattern? (11) Which
and 84000
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(12) When a number number is put into the machine machine below, below, a dif f erent number co co mes o ut. IfIf 2 goes
comes comes o ut. IfIf 3 goes in, 12 12 comes comes o ut. IfIf 7 goes in, 28 28 comes comes o ut.
9 ↓
→?
Number Machine
If 9 goes in, what number number sho uld come come out ? a. 81
b. 27
c. 36
d. 45 4 5
Fill in the blanks (13) If
= 6,
and
= 12 = 10,
+ (14)
= 12
+
+
=
= = Carol Carol bro ught
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Along Alon g t he highway, hig hway, t here her e are elect ric po les o n o ne s ide o f t he highway hig hway and an d t elegraph elegr aph po po (15) Special offer for students: Only $4.99/month.
the o ther s ide. T he electric electric poles are all separat ed by 40 m and the telegraph poles are al
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Answers (1)
2 Step 1
T here are three f riends, and to dist ribute 71 marbles marbles among them let's let's divide divide 71 by 3. 7 1 ÷ 3 = 23, remainder remainder = 2 Step 2
So we can see t hat each f riend gets 23 marbles, marbles, and 2 are lef t in the bag.
(2)
$36 Step 1
From 2nd relation, we can see that value of 4 apples is $60. Theref ore value value of one apple apple = 60 ÷ 4 = $15 Step 2
From 1s t relation we can now find value of mug as following, = 15 - 6
= $9 $9 Step 3
Now we can f ind value value o f 4 mugs by multiplyi multiplying ng by 4, +
+
+
=4 ×9
+
+
+
= $36
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(4 )
64
( 5)
In the las t t wo mont hs Co mpany A and Company Company B manuf manuf actured same number number o f cyc c. In Step 1
Let us o bserve the given table and check check f or every optio n individu individually ally.. Step 2
Opt ion a: a: In In the f irst t wo months , Company Company A manuf actured 160 + 180 = 340 cycles cycles an
company B manufactured 200 + 160 = 360 cycles, This tells us that in the first two mon Company A manuf actured f ewer cycles cycles t han Company B. B. Hence Hence the given st atement is false. Step 3 Option b: In In 3 months , Company A manuf manuf actured 160 + 180 + 160 = 500 cycles cycles and
company B manuf manuf actured 200 + 160 + 180 = 540 cycles, cycles, T his tells us t hat in 3 mo mo nths Company A manuf actured f ewer cycles cycles t han Company B. B. Hence Hence the given st atement is false. Step 4
Opt ion c: c: In In the last two mont hs, Company A manuf actured 160 + 180 = 34 0 cycles cycles an
company B manuf manuf actured 180 + 160 = 340 cycles, cycles, T his tells us t hat in the last t wo mon Company A and Company B manuf actured same number number o f cycles. cycles. T he st atement is t Step 5 Option d: In In the f irst and last mont h, Company Company A manuf actured 160 + 160 = 320 cycl
company B manuf manuf actured 200 + 180 = 380 cycles, cycles, This t ells us that in the f irst and last
mo nth Co mpany A manuf manuf actured f ewer cycles cycles t han Company B. B. Hence Hence the given st atem is f alse. alse. Step 6
So we f ound out t hat stat ement ement c is true.
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(6 )
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b. 500 + 36 = 506 + 30 Step 1
Let us check the lef t hand s ide and the right hand side of every optio n individu individually ally.. Step 2 Opt ions a: a: LHS = 500 + 36 = 536
RHS = 50 + 36 = 86 Here LHS LHS is no t matching mat ching with RHS. Step 3 Opt ions b: LHS = 500 + 36 = 536
RHS = 506 + 30 = 536 Here LHS matches matches with RHS. Step 4 Opt ions c: c: LHS = 500 + 36 = 536
RHS = 503 + 6 = 509 Here LHS LHS is no t matching mat ching with RHS. Step 5 Opt ions d: LHS = 500 + 36 = 536
RHS = 560 + 3 = 563 Here LHS LHS is no t matching mat ching with RHS. Step 6
Hence we realize that option b is correct.
(7 )
c. Count ing by 50 Step 1
we obs erve the given series of numbers, numbers, every consecutive number number increases increases by 50: Master 7Ifyour semester with Scribd 00 - 650 = 50, 750 - 700 = 50, 800 - 7 50 = 50, 850 - 800 =Free 50, 900on -this 850 = 50 ..... Read For 30 Days Sign up to vote title & The New York Times Useful Not useful Step 2 Special offer for students: Only $4.99/month.
Hence Hence the rule f or t he given given patt ern is: count ing by 50. 50.
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( 8)
c.
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Step 1
We can can see t hat in each successive pictures pictures , the circle circle is ro tat ing clock-wise. clock-wise. Step 2
Sim Similarly, ilarly, the f illed illed rectangle is also rot ating clock-wise. Step 3
In the last picture, the circle is at top-right. Therefore in the next picture, it should be at bottom-right. Step 4
Similarly in the last picture, the filled square is at the left-bottom. Therefore in the next picture, picture, itit sho uld be at the top- left . Step 5
Theref ore, the next picture wil willl be as f ollows:
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(9 )
a. (8 × 1,00,000) 1,00,000) + (5 × 100) + (7 × 10) Step 1
To f ind out which which o ption has t he greatest greatest value, value, one way is to carry carry out all the calcul calcul involving involving multipli multiplications cations and additions f or all the given o ptio ns and then s ee which which opt gives us t he number number with with t he greatest value. value. But this way, way, we will will take a lot o f time to s the pro blem given given to us. Let Let us learn and use a s mart way. Step 2
All the th e o ptio pt ions ns given t o us have eit e ither her t he digit dig it 7 o r t he digit dig it 8 being bein g multiplied multip lied by 1,00,0 1 ,00,0 (One Lakh). Lakh). T his means, means, the number value value f or each o ptio n will will have either either 7 or 8 at t he lakh's place. Step 3
Since Since the lakh's place is is t he biggest place in all the opt ions given to us, t he numbers numbers wh
have 8 at the lakh's place are greater than t hos e numbers numbers which have have 7 at the lakh's pla Step 4
This means, means, our answer is one o f the f ollowing ollowing two choices: choices: (8 × 1,00,000) 1,00,000) + (5 × 100) + (7 × 10) OR (8 × 1,00,000) 1,00,000) + (4 × 100) + (7 × 10) Step 5
For bo th t hese optio ns, there is a 0 at the t en-tho usand's and the thousand's place. place. hundred's hundred's place, place, one option has the digit 5 and the o ther has 4 . Step 6
T his means, means, the o ptio n which which has the digit 5 at the hundred's place has the greates t va of all. all. Step 7
So, o ur answer is (8 × 1,00,000) 1,00,000) + (5 × 100) + (7 × 10).
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(10 ) c.
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84
and 84000
Step 1
We will will go by the o ptio ns in the given quest ion. Step 2
Opt ion a: a: 84 × 1000 = 8400, which doesn’t match with the right hand side of the option Step 3
Option b: 804 × 1000 = 84000, which doesn’t match with the right hand side of the opt Step 4
which matches matches with the right hand side o f the given optio Opt ion c: c: 84 × 1000 = 84000, which Step 5
Option d: 840 × 1000 = 80004, which doesn’t match with the right hand side of the opt Step 6
Hence Hence opt ion c is correct.
(11) c. Add 0, then add 1, then add 2, and so on Step 1
If we obs erve the given series caref ully, ully, the f irst member member is 1, and the seco nd mem member ber also 1. We may may not ice that 1 = 1 + 0. Step 2
T he next member member is 2, which which may may be writt writt en as 1 + 1, and the next one is 3 = 1 + 2, t he one is 4 = 1 + 3, and so on. Step 3
Henc e wesemester may may say that the s eriesScribd is f ormed by adding adding 0, then adding 1, then adding 2a Master Hence your with Read Free Foron 30this Days Sign up to vote title so on. & The New York Times Useful Not useful Step 4 Only $4.99/month. Special offer for students:
Thus the correct answer i
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(12) c. 36 Step 1
Lets write all pairs of input and output numbers, 2
⇒
8
3
⇒
12
7
⇒
28
Step 2
If we observe thes e numbers, numbers, we can can see that out put number is 4 t imes imes t he input num Step 3
Same pattern should be followed when number 9 goes in, therefore output number, =9×4 = 36 36
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(13)
24
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Step 1
Let us f irst try to f ind the value value of each each one of
,
,
and
.
Step 2
We are to ld: Since 3
= 6. mean 6, one one
will mean:
6
= 2. 2.
3 Step 3
Now remember: remember:
=2
Step 4
Next we are told: = 12 12 We can use the above f act to f ind the value value of one We know
= 2. So,
We can now say:
.
= 5 × 2 = 10. + 10 = 12
or
= 12 - 10 = 2
Since 2
= 2, o ne
will mean:
2
= 1. 1.
2 Step 5
Now remember: remember:
= 1.
6 Master Step your semester with Scribd In this way we we can f ind: & The New= York 2 and Times =3 Special offer for students: Only $4.99/month.
Step 7
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(14)
4
Sheet Music
Step 1
The f irst st atement atement tells us that o ne carton carton cont ains ains 2 ice-cream ice-creams. s. Step 2
Theref ore, 2 cartons = 2 × 2 = 4 ice-cream ice-creams. Step 3
The s econd stat ement ement tells us t hat o ne box contains 2 sandwic sandwiches. hes. Step 4
Theref ore, 4 bo xs = 4 × 2 = 8 sandwi sandwiche ches. s. Step 5
Thus, t he dif dif f erence erence between between the number number of sandwic sandwiches hes and ice-cream ice-creams s= 8- 4=4
(15)
12 0 Step 1
Since Since an electric electric po le is there at every 40 m, itit will be present at distances which which are multiples ultiples of 40. Step 2
Sim Similarly, ilarly, a telegraph po le is t here at every 24 m. It will will thus be present at distances whi are multi multiple ple of 24. Step 3
Now the dist ance at which which both t ypes of poles will be present again, sho uld be a multip multip
both 40 and 24. Therefore, we need to find the Least Common Multiple (LCM) of 40 an
order to f ind such such distance. distance . Scribd Master inyour semester with Step 4 & The New York Times LCM of 4 0Only and 24 = 120 m. m. Special offer for students: $4.99/month. Step 5
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