Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

237

Created by PLSBOOST

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

2 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

3 / 20

4 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

5 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

6 / 20

7 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

8 / 20

9 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

10 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

11 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

12 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

13 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

14 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

17 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

18 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

19 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

20 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	NONE	95 %	52 seconds
8	abdullah umar	95 %	56 seconds
9	Saad	95 %	1 minutes 1 seconds
10	abdullah umar	95 %	1 minutes 12 seconds
11	NONE\	90 %	51 seconds
12	NONE	90 %	56 seconds
13	Muhammad Awais	90 %	1 minutes 6 seconds
14	12345	90 %	1 minutes 11 seconds
15	Bilal	90 %	1 minutes 30 seconds
16	ibraheem	90 %	1 minutes 34 seconds
17	Taha	90 %	1 minutes 56 seconds
18	sddc	90 %	2 minutes 32 seconds
19	Ahmed Nafees	90 %	4 minutes 20 seconds
20	Maham	90 %	5 minutes 16 seconds
21	Arib	85 %	1 minutes 20 seconds
22	Hello 2	85 %	1 minutes 23 seconds
23	sadi	85 %	1 minutes 47 seconds
24	nelson	85 %	1 minutes 56 seconds
25	Mudasir bangash	85 %	2 minutes 20 seconds
26	Saeed	85 %	2 minutes 46 seconds
27	RIDWAN	80 %	1 minutes 13 seconds
28	N	80 %	1 minutes 39 seconds
29	Talha	80 %	1 minutes 49 seconds
30	Najeeb Ahmed	80 %	1 minutes 52 seconds
31	Saif	75 %	57 seconds
32	Hi	75 %	1 minutes 37 seconds
33	Ahmad	75 %	1 minutes 38 seconds
34	NOONE	75 %	1 minutes 40 seconds
35	rida	75 %	1 minutes 47 seconds
36	Nimra	75 %	1 minutes 54 seconds
37	Ahmad faiz khan	75 %	2 minutes 21 seconds
38	Muhammmad yahya	75 %	2 minutes 26 seconds
39	ma	75 %	2 minutes 47 seconds
40	Muhammad Awais	75 %	3 minutes 5 seconds
41	Yasir	75 %	6 minutes 16 seconds
42	raomohib	75 %	31 minutes 2 seconds
43	uzair	75 %	34 minutes 30 seconds
44	amna	70 %	1 minutes 41 seconds
45	Abdullah umar	70 %	1 minutes 58 seconds
46	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
47	anand	70 %	3 minutes 5 seconds
48	mm alam	70 %	3 minutes 11 seconds
49	fjwkjsj	70 %	10 minutes 28 seconds
50	Muhammad Maaz khan	70 %	17 minutes 40 seconds
51	Jibrail	65 %	1 minutes 17 seconds
52	Noor	65 %	1 minutes 30 seconds
53	Muaz Rana	65 %	1 minutes 53 seconds
54	Adil	65 %	2 minutes 13 seconds
55	Hello	65 %	2 minutes 23 seconds
56	Tanoli Bilal	65 %	2 minutes 28 seconds
57	Abid ur Rahman	65 %	5 minutes 29 seconds
58	Azan	60 %	1 minutes 35 seconds
59	R	60 %	1 minutes 42 seconds
60	Sadia	60 %	2 minutes 21 seconds
61	Miqdam Haider	60 %	2 minutes 31 seconds
62	Azwa mudassar	60 %	4 minutes 59 seconds
63	Ibraheem	60 %	13 minutes 11 seconds
64	ggg	60 %	18 minutes 13 seconds
65	fatima	60 %	20 minutes 21 seconds
66	Asfg	60 %	22 minutes 59 seconds
67	op bolty	60 %	36 minutes 57 seconds
68	Nimra	60 %	50 minutes 28 seconds
69	Ayla Saeed	60 %	55 minutes 29 seconds
70	Ahmad Hassan	55 %	3 minutes 35 seconds
71	Ubaid	55 %	5 minutes 16 seconds
72	Mudasir Jamal	55 %	7 minutes 29 seconds
73	Soem	55 %	8 minutes 46 seconds
74	Muhammad Hamid	55 %	11 minutes 17 seconds
75	Taha	55 %	13 minutes 20 seconds
76	Mee	55 %	17 minutes 49 seconds
77	nemo	55 %	20 minutes 10 seconds
78	None	55 %	25 minutes 16 seconds
79	Maham	55 %	26 minutes 14 seconds
80	Uzair	55 %	28 minutes 36 seconds
81	Abdullah	55 %	41 minutes 29 seconds
82	nelson	55 %	3 hours 35 minutes 50 seconds
83	Noor	50 %	1 minutes 41 seconds
84	Hafsa	50 %	2 minutes 49 seconds
85	Zubaida	50 %	4 minutes 52 seconds
86	Ehsan shah	50 %	5 minutes 6 seconds
87	Safi	50 %	5 minutes 51 seconds
88	As	50 %	6 minutes 17 seconds
89	Sheraz	50 %	6 minutes 24 seconds
90	Iraj	50 %	7 minutes
91	rida	50 %	8 minutes 21 seconds
92	M Miqdam Haider	50 %	8 minutes 36 seconds
93	Mari	50 %	9 minutes 47 seconds
94	sadia	50 %	9 minutes 59 seconds
95	Najeeb Ahmed	50 %	10 minutes 36 seconds
96	Talha Bhatti	50 %	13 minutes 50 seconds
97	osaid	50 %	52 minutes 56 seconds
98	GHULAM	45 %	1 minutes 58 seconds
99	Usama	45 %	2 minutes 5 seconds
100	iufudfud	45 %	2 minutes 9 seconds
101	Saif khan	45 %	2 minutes 56 seconds
102	Dileep	45 %	3 minutes 28 seconds
103	amna	45 %	3 minutes 47 seconds
104	Muaz Rana	45 %	6 minutes 14 seconds
105	Muhammmad yahya	45 %	6 minutes 22 seconds
106	Ahmad	45 %	7 minutes 34 seconds
107	Muhammad Ali	45 %	7 minutes 52 seconds
108	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
109	hi	45 %	9 minutes 5 seconds
110	Haroon	45 %	14 minutes 19 seconds
111	Raj rathi	45 %	17 minutes 17 seconds
112	anand	45 %	17 minutes 35 seconds
113	Hafeezullah	45 %	21 minutes 49 seconds
114	Adnanh	45 %	59 minutes 58 seconds
115	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
116	Fawad Jillani	40 %	3 minutes 5 seconds
117	Huzaifa ali	40 %	4 minutes 28 seconds
118	Ahmad Ali	40 %	7 minutes 3 seconds
119	Maaz	40 %	7 minutes 52 seconds
120	ma	40 %	8 minutes 32 seconds
121	Kashif Iqbal	40 %	11 minutes 16 seconds
122	Fatima Ajmal	40 %	13 minutes 17 seconds
123	Najeeb Ahmed	40 %	13 minutes 40 seconds
124	jawad ahmed	40 %	13 minutes 50 seconds
125	TOUQEER ABBAS	40 %	14 minutes 22 seconds
126	.	40 %	15 minutes 19 seconds
127	rida	40 %	15 minutes 51 seconds
128	fawad	40 %	17 minutes 53 seconds
129	Saeed ullah shah	40 %	19 minutes 42 seconds
130	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
131	Sadam Hussain	35 %	2 minutes 14 seconds
132	Amir	35 %	2 minutes 24 seconds
133	Jibrail	35 %	3 minutes 59 seconds
134	Haseeb	35 %	4 minutes 12 seconds
135	madiha	35 %	4 minutes 28 seconds
136	arhum	35 %	4 minutes 28 seconds
137	Muhammad Awais	35 %	6 minutes 2 seconds
138	m	35 %	6 minutes 49 seconds
139	Furqan Ahmed	35 %	6 minutes 55 seconds
140	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
141	Nn	35 %	7 minutes 29 seconds
142	Azwa Mudassar	35 %	9 minutes 36 seconds
143	Wajiha	35 %	10 minutes 19 seconds
144	Ahmed Nafees	35 %	12 minutes 24 seconds
145	Fatima	35 %	12 minutes 38 seconds
146	sunila	35 %	13 minutes 13 seconds
147	Ayesha	35 %	13 minutes 53 seconds
148	Moiz	35 %	14 minutes 59 seconds
149	za	35 %	15 minutes 15 seconds
150	sded	35 %	16 minutes 7 seconds
151	Usman Malik	35 %	17 minutes 9 seconds
152	A.	35 %	17 minutes 33 seconds
153	YaSiR	35 %	24 minutes 13 seconds
154	Talha	35 %	25 minutes 12 seconds
155	eman	30 %	1 minutes 15 seconds
156	tashfeen	30 %	1 minutes 37 seconds
157	M Miqdam Haider	30 %	2 minutes 34 seconds
158	Abdullah umar	30 %	2 minutes 37 seconds
159	Muhammad Abu Zar	30 %	2 minutes 44 seconds
160	Rukhsh	30 %	2 minutes 46 seconds
161	Abdullah	30 %	2 minutes 52 seconds
162	Aniya	30 %	3 minutes 8 seconds
163	Ss	30 %	4 minutes 4 seconds
164	GHULAM JILANI	30 %	4 minutes 17 seconds
165	fiza	30 %	4 minutes 43 seconds
166	Rameez	30 %	4 minutes 44 seconds
167	Sohaib Hafeez	30 %	5 minutes 4 seconds
168	ahmar	30 %	5 minutes 34 seconds
169	Ubaid	30 %	5 minutes 54 seconds
170	Asma	30 %	6 minutes 15 seconds
171	Who cares	30 %	6 minutes 46 seconds
172	Arib	30 %	7 minutes 17 seconds
173	muhammad sohaib	30 %	8 minutes 10 seconds
174	Ahmad faiz khan	30 %	8 minutes 11 seconds
175	nemo	30 %	12 minutes 51 seconds
176	Faiq Waleed	30 %	12 minutes 52 seconds
177	y	30 %	16 minutes 32 seconds
178	Zeeshanjaat	30 %	18 minutes 43 seconds
179	ume ayesha	30 %	22 minutes 30 seconds
180	Ggfgh	30 %	23 minutes 33 seconds
181	PLSBOOST	25 %	33 seconds
182	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
183	anaya noor	25 %	2 minutes 21 seconds
184	H	25 %	2 minutes 38 seconds
185	Dawood	25 %	2 minutes 43 seconds
186	Kashif	25 %	3 minutes 13 seconds
187	my	25 %	4 minutes 15 seconds
188	Iqra	25 %	4 minutes 25 seconds
189	hassan	25 %	4 minutes 30 seconds
190	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
191	Saad Khan	25 %	5 minutes 13 seconds
192	Bial	25 %	5 minutes 24 seconds
193	Abdullah	25 %	5 minutes 38 seconds
194	Muhammad Moeen	25 %	6 minutes 33 seconds
195	Mari	25 %	6 minutes 54 seconds
196	malika	25 %	7 minutes 25 seconds
197	Sadia	25 %	9 minutes 19 seconds
198	Adil	25 %	10 minutes 5 seconds
199	adnan ashiq	25 %	10 minutes 7 seconds
200	ridwan	25 %	13 minutes 23 seconds
201	T	25 %	18 minutes 27 seconds
202	sadaf	25 %	27 minutes 34 seconds
203	groots	25 %	29 minutes 39 seconds
204	maliksubhan	20 %	1 minutes 30 seconds
205	R	20 %	2 minutes 23 seconds
206	Ayesha	20 %	2 minutes 44 seconds
207	Muhammad Ali	20 %	3 minutes
208	Hasnain	20 %	3 minutes 2 seconds
209	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
210	Noor	20 %	4 minutes 3 seconds
211	Bilal	20 %	5 minutes 7 seconds
212	Hamza	20 %	6 minutes 19 seconds
213	kk	20 %	7 minutes 5 seconds
214	Mahad	20 %	8 minutes 5 seconds
215	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
216	Wilayat Ali	20 %	9 minutes 53 seconds
217	Daniyal	20 %	26 minutes 24 seconds
218	anaya noor	15 %	1 minutes 19 seconds
219	Annu	15 %	2 minutes 35 seconds
220	Elsa	15 %	2 minutes 57 seconds
221	R	15 %	2 minutes 58 seconds
222	Bilal	15 %	3 minutes 44 seconds
223	Abdullah abbas	15 %	4 minutes 7 seconds
224	Safi ullah	15 %	5 minutes 22 seconds
225	Abid ur Rahman	15 %	8 minutes 34 seconds
226	Talha	10 %	2 minutes 21 seconds
227	Fatima Navaid	5 %	47 seconds
228	MUHAMMAD ABDULLAH	5 %	51 seconds
229	Amina	5 %	2 minutes 2 seconds
230	anaya noor	5 %	3 minutes
231	Name	5 %	8 minutes 3 seconds
232	abdullah umar	0 %	19 seconds
233	ISRAR ALI	0 %	25 seconds
234	azan ali shah	0 %	27 seconds
235	Mahamfaryad	0 %	54 seconds
236	Alisha noor	0 %	1 minutes 9 seconds
237	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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