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987

Number of DAYS from JAN 1 to Feb 11TH
= 31 + 11 = 42 days = 6 weeks
∴ TOTAL eggs=17 X 12 x 6 = 1224

28

This is a SIMPLE SUBTRACTION series. Each number is 6 LESS than the PREVIOUS number.

5/12

Let the NUMBER be X. Then,

2/3 x = 25/216 * 1/x

x2 = 25/216 * 3/2 = 25/144 

x = 5/12

38

let the NUMBER be 10 X + y where x < y
∴ x + y = 12

35

250 X 75/100 - 380 x ?/100 = 54.5
= 250 x 75 - 380 x ?
= 54.5 x 100= 18750 - 380 x ?
= 5450= 380 x
? = 18750 - 5450
= 13300
= ? = 13300/380 = 35

19

19

80578

NA

720

In FRUGAL there ae SIX DIFFERENCE LETTERS 
THEREFORE, 6 !

1253

1253

4

NA

15/19

11/13 = 0.8461,
13/15 = 0.8666,
27/31 = 0.87,
15/19 = 0.789

9216

9216

163

Average of 8 CONSECUTIVE ODD NUMBERS = 656/8

10

NA

65

65

124

Let the NUMBER be X 
THEREFORE, x² - (83)² = 8487
x² = 8487 + (83)²
x² = 8487 + 6889
x²= 15376
Therefore, x² = 15376

20, 25

Let the INTEGERS be X and (x + 5). Then, 

x(x + 5) = 500 

x2 + 5x - 500 = 0 

(x + 25)(x - 20) = 0 

x = 20

So, the numbers are 20 and 25.

1689

+111, +212, +313, +414

if x <= y

l. 3X2 - 12X - 2x + 8 = 0
or 3x(x - 4) -2 (x -4) = 0
∴ x = 4, 2/3
ll. 2y2 - 8y - 9Y + 36 = 0
or 2Y (y - 4) -9 (y - 4) = 0
or (2y - 9) (y - 4) = 0
∴ y = 4, 9/2

27/143

Total BALLS = 5 + 4 + 4 = 13
∴ n(S) = 13C3 = 286
2 blue balls can be selected from 4 balls in 4C2 = 6 ways and the REMAINING one BALL is to be selected from 9 balls in 9C1 = 9 ways 
∴ n(E) = 6 x 9
∴ P(E) = 6 x 9/286 = 27/143

25 LITRE

Original mixture = 5 litre; 
Milk = 3.5 litre;
WATER = 1.5 litre 
Let X litre of milk be added so that
the mixture becomes (x + 5) litres and the percentage of water becomes 5%
So, 1.5 = (x + 5) x 5/100
30 = x + 5
∴ x = 25 litre

57308

? = 68375 + 72848 - 34346 - 49569 = 141223 - 83915 = 57308

NONE of these

Since the difference between the divisors and the RESPECTIVE remainders is not CONSTANT, back substitution is the convenient method. None of the GIVEN numbers is satisfying the condition.

Cannot be DETERMINED

Let the ten's DIGIT be x and units digit by y.

Then,

(10x + y) - (10Y + x) = 63

9(x - y) = 63

x - y = 7

Thus, none of the numbers can be determined.

14.4

√207.36 = √20736/√100 = 144/10 = 14.4

109887

? = 113678 - 102691 = 109887

625

625

1260

Number of WAYS = 7!/2!2! = 1260
(∵ L and E COME twice)

12

7432/32 X ? = 2787
= ? = 2787 x 32/7432 = 12

3385

? = 480 X 350/100 + 620 x 275/100= 1680 + 1705 = 3385

œ(5/2) + œ(1/2)

“(5/2) + “(1/2)

48

Let the NUMBER be X.
or, x² + (74)² = 7780
or, x² = 7780 - 5476 = 2304
∴ x = 48

68

∵ 68 X 69 = 4692

289

? = (3√4913)² = (17)² = 289

576

? = 2 x 3 x 8 x 12012/11 x 7 x 13 = 576

365.4

Let the NUMBER be X.
∴ x x 5/7 = 145
∴ x = 145 x 7/5 = 203
Now, 203 x 180/100 = 365.4

2400

NA

36

36

1760

A + B + C + D + E/5 = 42
∴ C = 42,
∴ B = 40,
∴ D = 44
∴ B X D = 40 x 44 = 1760

168

Let the NUMBER be x.
∴ x x 4/6 x 6/5 x 5/7 = 96
∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168

28

Let the NUMBER be 10X + y.
∴ y = 3x + 2 .......(i)
And, X + y = 10 ......(ii)
From (i) and (ii), x = 2, y = 8
∴ Number = 28

8

This is a simple division series. Each NUMBER is divided by 5.
 Rule = (1st number / 5 = 2nd number) (2nd number / 5 = 3RD number)....
Now, (1000 / 5 = 200), (200 / 5 = 40), (40 / 5 = 8)...
So answer is a = 8.

14

This is a SIMPLE alternating addition and subtraction series. The first series BEGINS with 8 and adds 3; the second begins with 43 and SUBTRACTS 2.

E4

The LETTERS decrease by 1; the numbers are MULTIPLIED by 2.

178

This is an alternating DIVISION and addition SERIES: FIRST, DIVIDE by 2, and then add 8.

70

In this SERIES, 5 is added to the PREVIOUS NUMBER; the number 70 is INSERTED as every third number.

478

65% of 320+?=686
 208+?=686
?=686-208
?=478

28

28

3.2

3.2