Showing posts with label quant. Show all posts

Thursday, 30 April 2015

Quant Quiz For SSC Exam

Direction (1-10):-Look carefully for the pattern, and then choose which pair of numbers comes next.

1. 28 25 5 21 18 5 14

A. 11 5

B. 10 7

C. 11 8

D. 5 10

2. 8 11 21 15 18 21 22

A. 25 18

B. 25 21

C. 25 29

D. 24 21

3. 9 16 23 30 37 44 51

A. 59 66

B. 56 62

C. 58 66

D. 58 65

4. 2 8 14 20 26 32 38

A. 2 46

B. 44 50

C. 42 48

D. 40 42

5. 9 11 33 13 15 33 17

A. 19 33

B. 33 35

C. 33 19

D. 15 33

6. 2 3 4 5 6 4 8

A. 9 10

B. 4 8

C. 10 4

D. 9 4

7. 17 17 34 20 20 31 23

A. 26 23

B. 34 20

C. 23 33

D. 23 28

8. 6 20 8 14 10 8 12

A. 14 10

B. 2 18

C. 4 12

D. 2 14

9. 21 25 18 29 33 18

A. 43 18

B. 41 44

C. 37 18

D. 37 41

10. 75 65 85 55 45 85 35

A. 25 15

B. 25 85

C. 35 25

D. 85 35

Answers with Explanation:-

1. A

Explanation:

This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.

2. B

Explanation:

This is an alternating addition series, with a random number, 21, interpolated as every third number. The addition series alternates between adding 3 and adding 4. The number 21 appears after each number arrived at by adding 3.

3. D

Explanation:

Here is a simple addition series, which begins with 9 and adds 7.

4. B

Explanation:

This is a simple addition series, which begins with 2 and adds 6.

5. A

Explanation:

In this alternating repetition series, a random number, 33, is interpolated every third number into a simple addition series, in which each number increases by 2.

6. D

Explanation:

This is an alternating addition series with a random number, 4, interpolated as every third number. In the main series, 1 is added, then 2 is added, then 1, then 2, and so on.

7. D

Explanation:

This is an alternating subtraction series with repetition. There are two different patterns here. In the first, a number repeats itself; then 3 is added to that number to arrive at the next number, which also repeats. This gives the series 17, 17, 20, 20, 23, and so on. Every third number follows a second pattern, in which 3 is subtracted from each number to arrive at the next: 34, 31, 28.

8. D

Explanation:

This is an alternating addition and subtraction series. In the first pattern, 2 is added to each number to arrive at the next; in the alternate pattern, 6 is subtracted from each number to arrive at the next.

9. D

Explanation:

This is a simple addition series with a random number, 18, interpolated as every third number. In the series, 4 is added to each number except 18, to arrive at the next number.

10. B

Explanation:

This is a simple subtraction series in which a random number, 85, is interpolated as every third number. In the subtraction series, 10 is subtracted from each number to arrive at the next.

Tuesday, 21 April 2015

Quant Quiz For SSC Exam

1. Thirty men can complete a work in 36 days. In how many days can 18 men complete the same piece of work?

(1) 48

(2) 36

(3) 60

(4) 72

2. Gaurav spends 50% of his monthly income on household items, 20% of his monthly income on buying clothes, 5% of his monthly income on medicines and saves remaining Rs. 11,250 . What is Gaurav’s monthly income?

(1) Rs. 38,200

(2) Rs. 34,000

(3) Rs. 41,600

(4) Rs. 45,000

3. The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?

(1) 28

(2) 39

(3) 93

(4) Can’t say

4. At present Ayushi is eight times her daughter’s age. Eight years from now, the ratio of the ages of Ayushi and her daughter will be 10 : 3 respectively. What is Ayushi’s present age ?

(1) 32 years

(2) 40 years

(3) 36 years

(4) Can’t say

5. In how many different ways can 4 boys and 3 girls be arranged in a row such that all the boys stand together and all the girls stand together?

(1) 75

(2) 576

(3) 288

(4) 24

6. X can do a piece of work in 20 days and Y can do it in 10 days. They started together, but after 6 days X leaves off. Y will do the rest work in

(1) 1 day

(2) 2 days

(3) 7/3 days

(4) 3 days

7. A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?

(1) 19/3% gain

(2) 17/3% loss

(3) 17% gain

(4) 20/9% loss

8. In an exam, 60% of the total student passed. If the number of failed students is 320 then the total number of students is

(1)600

(2)700

(3)800

(4)900

9. A cycle is bought for Rs 840 and sold at Rs 920. What is the percentage gain

(1)10.50%

(2)8.52%

(3)7.35%

(4)9.52%

10. If sandeep salary is 30% more than Amar’s salary, the how many percent is Amar’s salary less than that of Sandeep’s?

(1)56%

(2)23.07%

(3) 50/3%

(4)50.6%

Answers

1. (3)
Required number of days = (30 * 36)/18 = 60

2. (4)
Let total income of Gaurav be x. Then
(100 – 50 – 20 – 5)% of x = 11250
x = 45000.

3. (3)
Let the number be xy
(10x + y) – (10y + x) = 54
x – y = 6 And x + y = 12
Solving the equations we get x = 9 and y = 3
So the number is 93.

4. (1)
Let the age of Ayushi’s daughter be x. Then Ayushi’s age is 8x.
(8x + 8)/ (x + 8) = 10/3
x = 4
Ayushi present age = 8x = 32 years.

5. (3)
Required number of ways = 4! * 3! * 2! = 288.

6. 1
(X + Y)’s 6 days’ work = 6 * (1/20 + 1/10) = 9/10
Remaining work = 1 - 9/10 = 1/10
1/10 work is done 2y Y in 10 * 1/10 = 1 day

7. 4
Let the CP is Rs x.
Then, x * 110/100 = 990
x = 900
Now CP is Rs 900 and SP is 880.
% loss = 20/900 * 100 = 20/9%

8. 3
Let the number of student is x out of that 40% have failed.
40/100 * x = 320
x = 320 * 100/40 = 800

9. 4
CP = Rs 840 and SP = Rs 920
Gain = 920 – 840 = Rs 80
gain percentage = 80/840 * 100 = 9.52%

10. 2;
Amar’s salary is less than of Sandeep 2y
(R/100 + R * 100)% = (30/(100 + 30) * 100)%
(30/130 *100 )% = 300/13% = 23% APPROX

Saturday, 14 February 2015

Geomatry lines & Angles Notes and Quiz

Dear Readers,

As you know lines and angles is critical in the study of geometry. Whether we know it or not, we see all sorts of angles on an everyday basis. In order to continue our study of geometry, it will be necessary to learn about the different properties of lines, angles, and their measures. The sections below introduce the different classifications of angles (acute, obtuse, right, or straight).

Right angle: An angle of 90° is called a right angle.
Acute angle: An angle of less than 90° is called an acute angle.
Obtuse angle: An angle of greater than 90° is called an obtuse angle.
Reflex angle: An angle of greater than 180° is called reflex angle.
Complementary angles: If the sum of the two angles is 90°, then they are called complementary angles.
Supplementary angles: If the sum of the two angles is 180°, then they are called supplementary angles.

Angle Relations: Vertically opposite angles: If two lines intersect each other, then the vertically opposite angles are equal. ∠a = ∠c and ∠b = ∠d
a, c and b, d are vertically opposite angles.

Angles in parallel lines: If a transversal intersects two parallel lines:

a. each pair of consecutive interior angles are supplementary.
∠4 + ∠5 = 180°
∠3 + ∠6 = 180°
b. each pair of alternate interior angles are equal.
∠5 =∠3, ∠6 = ∠4
∠5 = ∠3 =∠1 =∠7
∠6 = ∠4 = ∠2 = ∠8

Collinear: Three or more than three points are said to be collinear, if there is a line which contains them all.

Concurrent: Three or more than three lines are said to be concurrent, if there is a point which lies on them all.

Proportionality Theorem: