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MCQOPTIONS
This section includes 2318 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.
| 1201. |
If \[{{3}^{(x-y)}}=27\] and \[{{3}^{(x+y)}}=243\], then x is equal to ____. |
| A. | 0 |
| B. | 2 |
| C. | 4 |
| D. | 6 |
| Answer» D. 6 | |
| 1202. |
Find the value of \[{{(-3)}^{0}}-{{(-3)}^{3}}-{{(-3)}^{-1}}+{{(-3)}^{4}}-{{(-3)}^{-2}}\]. |
| A. | \[109\frac{2}{9}\] |
| B. | \[102\frac{2}{9}\] |
| C. | \[109\] |
| D. | \[110\] |
| Answer» B. \[102\frac{2}{9}\] | |
| 1203. |
\[\frac{{{\mathbf{8}}^{\mathbf{-1}}}\mathbf{\times }{{\mathbf{5}}^{\mathbf{3}}}}{{{\mathbf{2}}^{\mathbf{-4}}}}\]= |
| A. | 250 |
| B. | 325 |
| C. | 125 |
| D. | 100 |
| Answer» B. 325 | |
| 1204. |
When \[5\times {{10}^{-3}}-2000\times {{10}^{-6}}\] is expressed in standard form, we will get |
| A. | \[3\times {{10}^{-2}}\] |
| B. | \[3\times {{10}^{-3}}\] |
| C. | \[3\times {{10}^{3}}\] |
| D. | \[3\times {{10}^{2}}\] |
| Answer» C. \[3\times {{10}^{3}}\] | |
| 1205. |
The scientific notation of 165000000000000 is given by |
| A. | \[16.5\times {{10}^{13}}\] |
| B. | \[165\times {{10}^{12}}\] |
| C. | \[1650\times {{10}^{11}}\] |
| D. | \[1.65\times {{10}^{14}}\] |
| Answer» E. | |
| 1206. |
The value of \[{{({{7}^{-1}}-{{8}^{-1}})}^{-1}}-{{({{3}^{-1}}-{{4}^{-1}})}^{-1}}\] is |
| A. | 56 |
| B. | 12 |
| C. | 68 |
| D. | 44 |
| Answer» E. | |
| 1207. |
Find the sum of the powers of the prime factors in\[108\times 192\]. |
| A. | \[5\] |
| B. | \[7\] |
| C. | \[8\] |
| D. | \[12\] |
| Answer» E. | |
| 1208. |
By what number \[{{\left( \frac{4}{5} \right)}^{-5}}\] must be multiplied so that the result is\[\frac{16}{9}\]? |
| A. | \[\frac{3}{2}\] |
| B. | \[{{\left( \frac{4}{3} \right)}^{7}}\] |
| C. | \[\frac{1}{3}\] |
| D. | \[\frac{1}{2}\] |
| Answer» C. \[\frac{1}{3}\] | |
| 1209. |
Simplify \[-{{\left( 3 \right)}^{3}}-{{\left( -3 \right)}^{2}}+{{\left( -2 \right)}^{2}}\] |
| A. | \[-\,31\] |
| B. | \[-\,21\] |
| C. | \[-\,32\] |
| D. | \[-\,33\] |
| Answer» D. \[-\,33\] | |
| 1210. |
Find the value of x such that \[{{\left( \frac{64}{125} \right)}^{2}}{{\left( \frac{4}{5} \right)}^{4}}{{\left( \frac{16}{25} \right)}^{2x+1}}={{\left( \frac{256}{625} \right)}^{3x}}\] |
| A. | \[\frac{3}{2}\] |
| B. | \[\frac{2}{3}\] |
| C. | \[\frac{1}{3}\] |
| D. | \[\frac{1}{2}\] |
| Answer» B. \[\frac{2}{3}\] | |
| 1211. |
Which of the following values are equal? (P) \[{{1}^{4}}\] (Q) \[{{4}^{0}}\] (R) \[{{0}^{4}}\] (S) \[{{4}^{1}}\] |
| A. | P and Q |
| B. | Q and R |
| C. | P and R |
| D. | P and S |
| Answer» B. Q and R | |
| 1212. |
Which of the following values are equal? I. \[{{1}^{4}}\] II. \[{{4}^{0}}\] III. \[{{0}^{4}}\] IV. \[{{4}^{1}}\] |
| A. | I and II |
| B. | II and III |
| C. | I and III |
| D. | I and IV |
| Answer» B. II and III | |
| 1213. |
Simplify: \[{{x}^{2}}{{y}^{2}}\times {{x}^{5}}{{y}^{3}}\] |
| A. | \[{{x}^{7}}{{y}^{5}}\] |
| B. | \[{{x}^{7}}{{y}^{7}}\] |
| C. | \[{{x}^{5}}{{y}^{5}}\] |
| D. | \[{{x}^{5}}{{y}^{7}}\] |
| Answer» B. \[{{x}^{7}}{{y}^{7}}\] | |
| 1214. |
Find the value of given expression: \[{{\left( \frac{5}{9} \right)}^{(-2)}}\times {{\left( \frac{3}{5} \right)}^{\left( -2 \right)}}\times {{\left( \frac{3}{5} \right)}^{(0)}}\] |
| A. | 10 |
| B. | 9 |
| C. | 20 |
| D. | 30 |
| Answer» C. 20 | |
| 1215. |
The value of \[\frac{{{2}^{2001}}+{{2}^{1999}}}{{{2}^{2000}}-{{2}^{1998}}}\], is _____. |
| A. | 2 |
| B. | \[10/3\] |
| C. | \[{{2}^{1000}}+1\] |
| D. | \[\text{10}\] |
| Answer» C. \[{{2}^{1000}}+1\] | |
| 1216. |
What is the value of \[({{3}^{0}}-{{4}^{0}})\times {{5}^{-3}}\]? |
| A. | \[25\] |
| B. | \[0\] |
| C. | \[-25\] |
| D. | \[-125\] |
| Answer» C. \[-25\] | |
| 1217. |
Ramakant walks northwards. After a while, he turns to his right and a little further to his left. Finally, after walking a distance of one kilometer, he turns to his left again. In which direction is he moving now? |
| A. | North |
| B. | South |
| C. | East |
| D. | West |
| Answer» E. | |
| 1218. |
A rat runs 20' towards East and turns to right, runs 10' and turns to right, runs 9' and again turns to left, runs 5' and then turns to left, runs 12' and finally turns to left and runs 6' Now, which direction is the rat facing? |
| A. | East |
| B. | West |
| C. | North |
| D. | South |
| Answer» D. South | |
| 1219. |
Sobha was facing East. She walked 20 metres. Turning left she moved 15 metres and then turning right moved 25 metres. Finally, she turned right and moved 15 metres more. How far is she from her starting point? |
| A. | 25 metres |
| B. | 35 metres |
| C. | 50 metres |
| D. | 45 metres |
| Answer» E. | |
| 1220. |
Divya journeys 10 km to east then 10 km to south-west. He turns again and journey 10 km to North-West. Which direction is he in from the starting point? |
| A. | South |
| B. | North |
| C. | West |
| D. | East |
| Answer» D. East | |
| 1221. |
DIRECTIONS(Qs. 9 - 13):These questions are based on the diagram given below showing four personsstationed at the four corners of a square piece of a plot as shown. After the movements given in the above question, who is at the north-west comer? |
| A. | A |
| B. | C |
| C. | B |
| D. | D |
| Answer» C. B | |
| 1222. |
DIRECTIONS(Qs. 9 - 13):These questions are based on the diagram given below showing four personsstationed at the four corners of a square piece of a plot as shown. From the positions in the original figure. C and A move diagonally to opposite corners and then one side each clockwise and anti-clockwise respectively. B and D move two sides each clockwise and anti-clockwise respectively. Where is A now? |
| A. | At the north-west corner |
| B. | At the south-east corner |
| C. | At the north-east corner |
| D. | At the south-west corner |
| Answer» E. | |
| 1223. |
DIRECTIONS(Qs. 9 - 13):These questions are based on the diagram given below showing four personsstationed at the four corners of a square piece of a plot as shown. From the original position, B and D move one and a half length of sides clockwise and anti-clockwise respectively. Which one of the following statements is true |
| A. | B and D are both at the midpoint between A and C. |
| B. | B is at the midpoint between A and C, and D is at the comer originally occupied by A. |
| C. | D is at the midpoint between A and C, and B is at the corner originally occupied by C. |
| D. | B and D are both at the midpoint between A and D. |
| Answer» B. B is at the midpoint between A and C, and D is at the comer originally occupied by A. | |
| 1224. |
DIRECTIONS(Qs. 9 - 13):These questions are based on the diagram given below showing four personsstationed at the four corners of a square piece of a plot as shown. From the original position given in the above figure, A and B move one arm length clockwise and then cross over to the corners diagonally opposite; C and D move one arm length anti-clockwise and cross over to the corners diagonally opposite. The original configuration ABCD has now changed to |
| A. | CDAB |
| B. | DACB |
| C. | BDAC |
| D. | ACBD |
| Answer» B. DACB | |
| 1225. |
DIRECTIONS(Qs. 9 - 13):These questions are based on the diagram given below showing four personsstationed at the four corners of a square piece of a plot as shown. A starts crossing the plot diagonally. After walking half the distance, he turns right, walks some distance and turns left. Which direction is A facing now? |
| A. | North-east |
| B. | North |
| C. | North-west |
| D. | South-east |
| Answer» D. South-east | |
| 1226. |
A, B, C and D are playing cards. A and B are partners. D faces towards North. If A faces towards west, then who faces towards south? |
| A. | B |
| B. | C |
| C. | D |
| D. | Data inadequate |
| Answer» C. D | |
| 1227. |
DIRECTIONS: These questions are based on the following information. Farmer Batuk Singh has a larger square field divided into nine smaller square fields, all equal, arranged in three rows of three fields each. One side of the fields runs exactly east-west. The middle square must be planted with rice because it is wet. The wheat and barley should be continuous so that they can be harvested all at once by the mechanical harvester. Two of the field should be planted with soyabeans. The north westernmost field should be planted with peanuts and the southern third of the field is suitable only for vegetables. Now select the correct answers for the following question from the codes given above. If Batuk Singh decides to plant the wheat next to the vaunts, in which square will the barley be? |
| A. | The square immediately north of the rice. |
| B. | The square immediately east of the rice. |
| C. | The square immediately west of the rice. |
| D. | The square immediately north east of the rice. |
| Answer» E. | |
| 1228. |
Rasik walks 20m North. Then, he turns right and walks 30m. Then he turns right and walks 35m. Then he turns left and walks 15m. Then he again turns left and walks 15 m. In which direction and how many meters away is he from his original position? |
| A. | 15 meters West |
| B. | 30 meters East |
| C. | 30 meters West |
| D. | 45 meters East |
| Answer» E. | |
| 1229. |
One day, Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight? |
| A. | 10km |
| B. | 15km |
| C. | 20km |
| D. | 25km |
| Answer» C. 20km | |
| 1230. |
While facing East, Rohit turns to his left and walks 10 metres, then he turns left and walks 10 meters. Now he turns \[{{45}^{o}}\] towards his right and goes straight to cover 25 meters. In which direction is he from his starting point? |
| A. | North-east |
| B. | North-west |
| C. | South-west |
| D. | South-east |
| Answer» C. South-west | |
| 1231. |
Going 50 m to the south of her house, Radhika turns left and goes another 20 m. Then turning to the North, she goes 30m and then starts walking to her house. In which direction is she walking now? |
| A. | North-west |
| B. | North |
| C. | Southeast |
| D. | East |
| Answer» B. North | |
| 1232. |
I am facing south. I turn right and walk 20 m. Then I turn I turn right again and walk 10m. Then I turn left and walk 10m and then turning right walk 20 m. Then I turn right again and walk 60 m. In which direction am I from the starting Point |
| A. | North |
| B. | North-west |
| C. | East |
| D. | North-east |
| Answer» E. | |
| 1233. |
One morning after sunrise, Reeta and Kavita were talking to each other face to face at Tilak Square. If Kavita's shadow was exactly to the right to Reeta, which direction Kavita was facing? |
| A. | North |
| B. | South |
| C. | East |
| D. | Data inadequate |
| Answer» B. South | |
| 1234. |
A clock is so placed that at 12 noon its minute hand points towards north-east. In which direction does its hour hand point at 1:30pm? |
| A. | North |
| B. | South |
| C. | East |
| D. | West |
| Answer» D. West | |
| 1235. |
From his house, Lokesh went 15 km to the North. Then he turned West and covered 10 km. Then, he turned South and covered 5 km. Finally, turning to East, he covered 10 km. In which direction is he from his house? |
| A. | East |
| B. | West |
| C. | North |
| D. | South |
| Answer» D. South | |
| 1236. |
Ravi wants to go to the university He starts from his home which is in the East and come to a crossing. The road to the left ends is a theatre, straight ahead is the hospital. In which direction is the university? |
| A. | North |
| B. | South |
| C. | East |
| D. | West |
| Answer» B. South | |
| 1237. |
One morning after sunrise, Gopal was facing a pole. The shadow of the pole fell exactly to his right. Which direction was he facing? |
| A. | South |
| B. | East |
| C. | West |
| D. | Data inadequate |
| Answer» B. East | |
| 1238. |
If all the directions are rotated, i.e., if North is changed to West and East to North and so on, then what will come in place of North-West ? |
| A. | South-West |
| B. | North-East |
| C. | East-North |
| D. | East-West |
| Answer» B. North-East | |
| 1239. |
Raj travelled from a point X straight to Y at a distance of 80 meters. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point? |
| A. | 10 metres |
| B. | 20 metres |
| C. | 50 metres |
| D. | 70 metres |
| Answer» B. 20 metres | |
| 1240. |
A child is looking for his father. He went 90 metres in the East before turning to his right. He went 20 metres before turning to his right again to look for his father at his uncle's place 30 metres from this point. His father was not there. From here he went 100 metres to the North before meeting his father in a street. How far did the son meet his father from the starting point? |
| A. | 80 metres |
| B. | 100 metres |
| C. | 140 metres |
| D. | 260 metres |
| Answer» C. 140 metres | |
| 1241. |
A is twice as good work man as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work? |
| A. | 27 days |
| B. | 28 days |
| C. | 30 days |
| D. | 31 days |
| Answer» B. 28 days | |
| 1242. |
A and B can do a work in 72 days. B and C in 120 days. A and C in 90 days. In how many days can A alone do the work? |
| A. | 80 |
| B. | 100 |
| C. | 110 |
| D. | 120 |
| Answer» E. | |
| 1243. |
A can do a piece of work in 7 days by working 9 hours on each day and b can do it in 6 days by working 7 hours on each day. How long will they take to do it, working together for \[8\frac{2}{5}\] hours a day? |
| A. | 4 days |
| B. | 3 days |
| C. | 2 days |
| D. | 5 days |
| Answer» C. 2 days | |
| 1244. |
A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be complete in |
| A. | 12 days |
| B. | 13 days |
| C. | \[13\frac{5}{7}\]days |
| D. | \[13\frac{3}{4}\]days |
| Answer» E. | |
| 1245. |
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every 3rd day? |
| A. | 12 days |
| B. | 15 days |
| C. | 16 days |
| D. | 18 days |
| Answer» C. 16 days | |
| 1246. |
Two pipes A and B can fill a tank in 24 min. and 32 minutes respectively. If both the pipes are opened together, after how much time B should be closed so that the tank is full in 18 minutes. |
| A. | 7 minutes |
| B. | 6 minutes |
| C. | 8 minutes |
| D. | 9 minutes |
| Answer» D. 9 minutes | |
| 1247. |
Pipes A and B can fill a tank in 6 hours and 9 hours respectively while another outlet pipe can empty it in 12 hours. If all the pipes are opened together in the empty tank, in how much time will it be full. |
| A. | \[5\frac{1}{7}\]hours |
| B. | \[6\frac{1}{7}\] hours |
| C. | \[8\frac{1}{7}\]hours |
| D. | \[10\frac{1}{7}\]hours |
| Answer» B. \[6\frac{1}{7}\] hours | |
| 1248. |
A pipe can fill a tank in 15 hours. Due to leak in the bottom, it is filled in 20 hours. If the tank is full, how much time will the leak take to empty ti ? |
| A. | 120 hours |
| B. | 80 hours |
| C. | 40 hours |
| D. | 60 hours |
| Answer» E. | |
| 1249. |
Two pipes A and B can fill a tank in 24 hours and 30 hours respectively. The tank is emptied. How much time will be taken by them to fill it? |
| A. | 13 hours 20 min. |
| B. | 16 hours 30 min. |
| C. | 14 hours 10 min. |
| D. | 15 hours 40 min. |
| Answer» B. 16 hours 30 min. | |
| 1250. |
In 4 men reap 40 acres in 30 days. How many acres will 18 men reap in 12 days? |
| A. | 70 |
| B. | 72 |
| C. | 60 |
| D. | 68 |
| Answer» C. 60 | |