Ratio, Proportion and Partnership
- Ratio, Proportion & Partnership
- CRE 1 - Ratio
- CRE 2 - Proportion
- CRE 3 - Partnership
- PE 1 - Ratio
Percentage, Profit & Loss
- Percentage
- Profit & Loss
- CRE 1 - Percentage
- CRE 2 - Percentage Change
- CRE 3 - Successive Percentage Change
- CRE 4 - Profit & Loss
- CRE 5 - Discount
- PE 1 - Percentage
Simple and Compound Interest
- Simple & Compound Interest
- CRE 1 - Simple Interest
- CRE 2 - Compound Interest
Average, Mixture & Alligation
- Average
- Mixture & Alligation
- CRE 1 - Simple Average
- CRE 2 - Numbers Added/Removed
- CRE 3 - Weighted Average
- PE 1 - Average
- PE 2 - Average
Time and Work
- Time and Work
- CRE 1 - Basics
- CRE 2 - Working in Shifts
- CRE 3 - Payments
- CRE 4 - Man Days (single group of people)
- CRE 5 - Man Days (multiple groups of people)
- CRE 6 - Pipes & Cisterns
- PE 1 - Time and Work
Time, Speed and Distance
- Time, Speed and Distance
- CRE 1 - Basics
- CRE 2 - Relative Speed
- CRE 3 - Trains
- CRE 4 - Boats & Streams
Numbers
- CRE 1 - Simplification
- PE 1 - LCM & HCF
- PE 2 - LCM & HCF
- PE 3 - Unit's Digit
Indices & Surds
- CRE 1 - Indices
- CRE 2 - Surds
Linear & Quadratic Equations
Permutations, Combinations & Probability
Geometry, Mensuration & Trigonometry
- Geometry Basics
- CRE 1 - Geometry Basics
- CRE 2 - Triangles
- CRE 3 - Circles
- CRE 4 - Mensuration
- CRE 5 - Trigonometry
Data Interpretation
- CRE 1 - Tables
Arrangements, Ranking & Ordering
- PE 1 - Arrangements
- PE 2 - Ranking
- PE 3 - Ordering
Analogy & Odd One Out
- PE 1 - Word Analogy
- PE 2 - Word Analogy
- PE 3 - Alphabet Analogy
- PE 4 - Numbers Analogy
- PE 5 - Odd One Out
Number & Alphabet Series
- PE 1 - Number Series
- PE 2 - Alphabet Series
Coding & Decoding
- PE 1 - Coding & Decoding
Clocks & Calendars
- PE 1 - Clocks
- PE 2 - Calendars
Venn Diagram
- CRE 1 - Venn Diagram
- CRE 2 - Venn Diagram
progression
Mathematical Operations
- PE 1 - Mathematical Operations
Dice & Cubes
- PE 1 - Dice
Visual Reasoning
Blood Relation & Direction Sense
- PE 1 - Blood Relation
- PE 2 - Direction Sense
General Knowledge & Current Affairs
Syllogisms

CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

1. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

What is the measure of the complementary angle, if the measure of an angle is 57°?

A.
55°
B.
33°
C.
45°
D.
37°

2. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

What is the measure of the supplementary angle, if the measure of an angle is 57°?

A.
43°
B.
133°
C.
12°
D.
123°

3. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

A line which cuts two or more parallel lines is known as a

A.
Perpendicular
B.
Line bisector
C.
Transversal
D.
Perpendicular bisector

4. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

Which of the following is a reflex angle?

A.
30°
B.
120°
C.
180°
D.
230°

5. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

Two lines intersect each other and make four angles. Of these, any two adjacent angles are

A.
Equal
B.
Complementary
C.
Supplementary
D.
None of these

6. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

It is given that, m ∠A + m ∠B + m ∠C = 210° and m ∠B is thrice that of m∠C. If ∠B and ∠C are supplementary, the measures of ∠A, ∠B and ∠C respectively are

A.
30°, 135°, 45°
B.
30°, 120°, 60°
C.
45°, 110°, 55°
D.
30°, 108°, 36°

7. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

Measure of the supplementary angle of ∠A is 100° more than that of the complementary angle. What is the type of ∠A?

A.
Acute angle
B.
Reflex angle
C.
Obtuse angle
D.
Not possible

8. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

Which of the following is definitely true for two lines in a plane?

A.
If two lines are not parallel, they will intersect each other at some point
B.
Two lines perpendicular to a given line, are parallel to each other
C.
All of the above are true
D.
None of these

9. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

m∠P is 30° more than the measure of its supplementary angle. Which of the following is the measure of ∠P?

A.
85°
B.
105°
C.
125°
D.
None of these

10. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

In the given figure, the lines L₁ and L₂ are parallel to each other and the line segments PQ and PR are perpendicular to each other. Moreover, m ∠PQR = 55° and lines ST, PQ, and PR intersect at point P. Find m ∠TPR.

A.
50°
B.
45°
C.
35°
D.
55°

11. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

The lines AB, CD, EF and GH are parallel. It is known that AE : CG = 3 : 5 and AC : AG = 1 : 4. If the length of BD is 10 cm, what is the length (in cm) of FH?

A.
15
B.
18
C.
22
D.
12

12. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

In the figure below, y - x = 50°. Find x, y respectively.

A.
125°, 75°
B.
75°, 125°
C.
65°, 115°
D.
60°, 120°
E.
None of these

13. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

In the figure below, find the value of x?

A.
24
B.
25
C.
36
D.
20
E.
None of these

14. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

A line L₁ cuts three parallel line segments AB, CD, and EF at points P, Q, and R respectively and another line L₂ cuts them (AB, CD, and EF) at points S, T, and U respectively. If 3 × PQ = 2 × QR and the length of the segment ST is 4 cm, then what is the length of the segment TU?

A.
6 cm
B.
2 cm
C.
4 cm
D.
8 cm

Answer: Option A

Explanation :

Transversals make intercepts of equal proportions on parallel lines.

Using the Equal Intercept Ratio theorem, we have,

$\frac{PQ}{QR}$ = $\frac{ST}{TU}$

∴ $\frac{2}{3}$ = $\frac{4}{TU}$

∴ TU = 6 cm

Hence, option (a).

15. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

As shown in the figure, line AC and line FG are parallel to each other and m ∠ABF = 55°. If ray BD and segment EF are parallel and m ∠DBF = 30°, then find m ∠EFG.

A.
25°
B.
35°
C.
45°
D.
40°

16. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

In the given figure, lines l and m are parallel to each other. Transversals AI and BK are also parallel to each other. If m ∠HJI = 50° and m ∠JHI = 45°, then find m ∠CBD.

A.
105°
B.
125°
C.
85°
D.
120°

17. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

In the figure, DE and AE bisect ∠ADC and ∠DAB respectively. AB is parallel to CD. Find m ∠AED.

A.
60°
B.
75°
C.
80°
D.
90°
E.
100°

18. CRE 1 - Geometry Basics | Geometry, Mensuration & Trigonometry

In the given figure, m ∠AEJ = 55°, m ∠BIC = 130°. Also, AE || BF, CG || DH and AD || JH. BI and CI are the angle bisectors of the ∠CBF and ∠BCG respectively. What is the measure of ∠DHG?